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Pandas, and Mike Cuthbert's [music21](http://web.mit.edu/music21/), CRIM Intervals is a pattern finding engine for musical scores, with an emphasis on the kinds of melodic and harmonic patterns found in Renaissance polyphony. It has been developed as a primary data analysis tool for CRIM, but can be applied and adapted to a wide range of styles. Results are reported in Pandas dataframes (and thus exportable in a variety of standard formats for further analysis), and also via several visualizations methods. + +## File Types Compatible with CRIM Intervals + +Since CRIM Intervals is based on music21, all the file types read by music21 will work with CRIM Intervals. Be sure to include the appropriate file extension as part of each file name: '.mei', '.mid', '.midi', '.abc', '.xml', '.musicxml'. Note that the `lyrics` function is untested with midi and abc files. + +## Importing a Piece: `importScore()` + +CRIM Intervals begins by importing one or more MEI, MusicXML, or MIDI Files. This can be done directly, as shown: + + piece = importScore('https://crimproject.org/mei/CRIM_Model_0008.mei') + +The field within the `importScore()` function can be either a url or local file path, and must be surrounded by quotes as shown. + +Note that the **local file path must also be preceded by a `/` [forward slash]**, for example: + + piece = importScore('/path/to/mei/file2.mei') + +### Check Metadata for Imported Piece + +To confirm successful import, view the metadata: `print(piece.metadata)`. Alternatively, add the parameter `verbose = True` to the `importScore()` function. CRIM Intervals will automatically provide information to the user as it runs about whether or not it was able to successfully import the given piece. For example: + + piece = importScore('https://crimproject.org/mei/CRIM_Model_0008.mei', verbose = True) + +Note that import errors will be reported even if `verbose = False` + + +## Importing Multiple Pieces at Once: `CorpusBase()` + +If you pass `importScore()` a **path to a directory** it will import all the files in that directory, for example: + + pieces = importScore('/Users/rfreedma/Downloads/MEI_Folder') + +Adding the parameter `recursive = True` will in turn import all of the pieces in the main directory and any subdirectories, for example: + + pieces = importScore('/Users/rfreedma/Downloads/MEI_Folder', recursive = True) + +And as with a single piece, the parameter `verbose = True` will the status of each attempted import. + +The CRIM Interval library also allows the user to import multiple pieces at once through the `CorpusBase()` function. This function operates similarly to the `importPiece()` function, but accepts a **list of piece urls or paths** instead of a single url or path. The individual items in the Python list must be: + +* surrounded by quotation marks (remember the `/` at the start of any time coming from a local path!) +* separated by commas (but no comma after the last item in the list) + +And then the entire list must be surrounded in square brackets. + +The complete import statement will look like this: + + corpus = CorpusBase(['url_to_mei_file1.mei', 'url_to_mei_file2.mei', '/path/to/mei/file1.mei', '/path/to/mei/file2.mei']) + +Note that there is a special format required when a given CRIM Intervals function (such as melodic(), or harmonic() is applied to a **corpus** object. See below, and also the **batch method** documentation for each individual function. + +## Using CRIM Intervals Functions + +Once one or more pieces have been imported, they can be examined and analyzed through a wide variety of different functions that find the notes, durations, melodic intervals, harmonic intervals, and so on. Most of these functions follows one of a few common formats: + +*like this:* + + piece.func() + +*or:* + + piece.func(some_parameter) + +*or:* + + piece.func(param_1 = True, param_2 = "d") + +Except in the case of a **corpus** of pieces (see below), the parentheses that follow the function are *always required*. Most functions have parameters that can be adjusted (for instance, the choice of diatonic or chromatic intervals). It is always possible simply to accept the default settings (no need to pass a parameter). Or the parameters can be adjusted. + +The specific details of how to format the function varies from case to case. The choices and common settings for each function are detailed in the pages of this guide. It is also possible to read the built-in documentation as explained below under **Help and Documentation**. + +## Batch Methods for a Corpus of Pieces + +In the case of a **corpus** of pieces, it is also necessary to use the `batch` function, which applies one of the main functions (such as `notes`, `melodic`, `harmonic`, etc.) to each of the pieces in the corpus in turn, and then assembles the results into a single dataframe. First create the corpus: + + corpus = CorpusBase(['https://crimproject.org/mei/CRIM_Mass_0014_3.mei', + 'https://crimproject.org/mei/CRIM_Model_0009.mei']) + +Then specify the function to be used (NB: **do not include the parentheses after the function!**): + + func = ImportedPiece.notes + +And finally run the function with each piece and concatenate them as a single dataframe: + + list_of_dfs = corpus.batch(func) + +Normally parameters are passed to a function within the parentheses (as noted above). But with the batch methods for a corpus the parameters are instead passed as **kwargs** (that is, as a *dictionary of keyword arguments*, with each parameter and its corresponding value formatted as `{key: value}` pair). + +For example see this code for batch processing a corpus with the `melodic` function using some keywords: + + + #define the corpus + corpus = CorpusBase(['https://crimproject.org/mei/CRIM_Mass_0014_3.mei', + 'https://crimproject.org/mei/CRIM_Model_0009.mei']) + #specify the function + func = ImportedPiece.melodic # <- NB there are no parentheses here + #provide the kwargs + kwargs = {'kind': 'c', 'directed': False} + #build a list of dataframes, one for each piece in the corpus + list_of_dfs = corpus.batch(func, kwargs) + #concatenate the list to a single dataframe + output = pd.concat(list_of_dfs) + +### Chaining Together Batch Methods + +CRIM Intervals functions often need to be chained together, as explained in the individual sections for each function. The results of the first function (which is a list of dataframes) is passed to the second fucntion via the `df` parameter as a `kwarg` + + #define the corpus + corpus = CorpusBase(['https://crimproject.org/mei/CRIM_Mass_0014_3.mei', + 'https://crimproject.org/mei/CRIM_Model_0009.mei']) + #first function + func1 = ImportedPiece.melodic + #first function results as list of dfs + list_of_dfs = corpus.batch(func = func1, kwargs = {'end': False}, metadata = False) + #second function + func2 = ImportedPiece.ngrams + #now the list_of_dfs from the first function is passed to the second function as the keyword argument 'df' + list_of_melodic_ngrams = corpus.batch(func = func2, kwargs = {'n': 4, 'df': list_of_dfs}) + +### Piece Metadata and Batch Methods: The `metadata` Parameter + +The `batch` method will normally include `metadata` for each piece. But if the aim is to chain several functions together in a series of batch processes, it is probably best to request the metadata only for the final step: + + #define the corpus + corpus = CorpusBase(['https://crimproject.org/mei/CRIM_Mass_0014_3.mei', + 'https://crimproject.org/mei/CRIM_Model_0009.mei']) + #first function + func1 = ImportedPiece.melodic + #first function results as list of dfs + #notice that 'metadata = False' for this step + list_of_dfs = corpus.batch(func = func1, kwargs = {'end': False}, metadata = False) + #second function + func2 = ImportedPiece.ngrams + #now the list_of_dfs from the first function is passed to the second function as the keyword argument 'df' + #here metadata remains as True (which is the default, and so we can omit the parameter) + list_of_melodic_ngrams = corpus.batch(func = func2, kwargs = {'n': 4, 'df': list_of_dfs}) + +### Tracking Batch Processing Errors: The `verbose` Parameter + +As in the case of single piece imports, when used as part of a `batch` function, the `verbose = True` provides confirmation that each piece has been successfully imported. This can be useful to pinpoint a piece that is triggering a bug. + + corpus = CorpusBase(['https://crimproject.org/mei/CRIM_Mass_0014_3.mei', + 'https://crimproject.org/mei/CRIM_Model_0009.mei']) + func = ImportedPiece.notes + list_of_dfs = corpus.batch(func, verbose = True) + +### Voice Part Names vs Staff Position in Batch Processing: The `number_parts` Parameter + +By default, .batch will replace columns that consist of part names (like `.melodic()` results) or combinations of part names (like `.harmonic()` results) with **staff position numbers**, starting with "1" for the highest part on the staff, "2" for the second highest, etc. This is useful when combining results from pieces with parts that have different names. For example: + + list_of_dfs_with_numbers_for_part_names = corpus.batch(ImportedPiece.melodic) + +To keep the **original part names** in the columns, set `number_parts` parameter to False. For example: + + list_of_dfs_with_original_part_names = corpus.batch(ImportedPiece.melodic, number_parts = False) + + +## Exporting CRIM Intervals Results + +CRIM Intervals is a Python library. But it also makes extensive use of PANDAS (Python for Data Analysis). The most common output for the CRIM Intervals functions is thus a **DataFrame**. These can be viewed in output window of VS-Code (or similar IDE where CRIM Intervals is running), or can be seen in Juypyter Notebooks. There are nevertheless two useful ways to download results for later use: + +### Export to CSV: + +If you are running the Jupyter Hub version of this code, then there should be a folder provided called 'saved_csv'. This is where we will be exporting files, from which you can then download them to your computer. + +If you wish to export a CSV a piece's that has been generated as a DataFrame, you can do so with the following command line: + + notebook_data_frame_name.to_csv('saved_csv/your_file_title.csv') + +'notebook_data_frame_name' should be replaced with the name of your DataFrame. For example, if you had ran the following lines: + + piece = importScore('https://crimproject.org/mei/CRIM_Model_0008.mei') + mel = piece.melodic() + +You could then save this model's melodic interval data to a CSV file with the file name 'CRIM_Model_0008.csv' by running the following: + + mel.to_csv('saved_csv/CRIM_Model_0008.csv') + +### Export to Excel: + +Alternatively, a DataFrame can be saved as an Excel file with the following command lines in order, once again replacing 'file_name.xlsx' with your desired file name, replacing 'Sheet1' with your desired sheet name **(in quotes)**, and replacing 'frame_name' in the second line with the name of your DataFrame **(without quotes)**, which was be 'mel' in the last example: + + writer = pd.ExcelWriter('saved_csv/file_name.xlsx', engine = 'xlsxwriter') + frame_name.to_excel(writer, sheet_name = 'Sheet1') + writer.save() + +Substituting the information from the first example, we could write that same DataFrame to an Excel sheet with the following commands: + + writer = pd.ExcelWriter('saved_csv/CRIM_Model_0008.xlsx', engine = 'xlsxwriter') + mel.to_excel(writer, sheet_name = 'CRIM Model 0008') + writer.save() + +## Help and Documentation + +The documentation associated with each function can be read with a line of the following sample format: + + print(piece.notes.__doc__) + +This line would print out the documentation (`.__doc__`) associated with the function `notes()`, a function applicable to the object `piece`. Note that to print the documentation for a function, some object able to utilize that function must be used in the command line as shown above. + +----- + +## Sections in this guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics.md) + * [08_Time-Signatures](08_TimeSignatures.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) \ No newline at end of file diff --git a/tutorial/02_NotesAndRests.md b/tutorial/02_NotesAndRests.md new file mode 100644 index 0000000..0cc5c9c --- /dev/null +++ b/tutorial/02_NotesAndRests.md @@ -0,0 +1,106 @@ +# Finding the Notes and Rests in Pieces + +## The `notes()` Function + +After importing one or more pieces, the `notes()` function can be run to create a table of all of a piece's notes and rests, in order: + + piece.notes() + +These notes will be printed in a table, where each new row contains some new note in any voice. The left-most column is an index representing the offset of the change in note, where 0 represents the first note of the piece, and 1 unit of offset represents a quarter note. Note that this index will not necessarily be regularly spaced. Each column of the `notes()` table represents a different voice of the pieces, as indicated by the headings of these columns. By default, printing `piece.notes()` will print the first and last five rows of the table. That is, the first and last 5 points in the piece at which any voice changes in note. To control how many rows are printed: + +To print only the first 20 rows of the table: + + piece.notes().head(20) + +To print only the last 20 rows of the table: + + piece.notes().tail(20) + +While in its simplest form, the `notes()` function simply produces a DataFrame of each note or group of rests, it can be modified through its parameters: + +* `combineUnisons`, which controls how consecutive pitch repetitions are treated; default treats unisons as separate notes +* `combineRests`, which controls how consecutive rests are treated; default sums consecutive rests into a single extended rest + +## `notes()` Parameters + +### Dealing with Consecutive Pitch Repetition: The `combineUnisons` Parameter: + +A unison is when a new note is sounded, but the pitch remains the same (e.g. a C5 half note followed by a C5 quarter note). the `notes()` function contains a parameter called `combineUnisons`, which defaults to `False`. When `combineUnisons` is set to `True`, any unisons will be treated as a continuation of the previous note, effectively adding a tie between those notes. As a result, the table output of the `notes()` function will not printing anything at the offset of the given note's repetiton. The `combineUnisons` parameter may be run as follows: + + piece.notes(combineUnisons = True) + #Or, the default value: + piece.notes(combineUnisons = False) + +![Alt text](images/notes_2.png) + +The `head()` function can be combined with `notes(combineUnisons = True)` as shown in the following examples: + + whole_piece = piece.notes(combineUnisons = True) + whole_piece.head(20) + +Or, more directly: + + piece.notes(combineUnisons = True).head(20) + +The first example demonstrates declaring a variable, and then performing functions on it, while the second demonstrates performing multiple functions simultaneously. Beyond applications of the CRIM Intervals library, the first option is often more efficient when coding in general. This is because it avoids unnecessary repetitions of the same statement, saving system memory as well as time. + +### Dealing with Consecutive Rests: The `combineRests` Parameter: + +The `combineRests` parameter operates similarly to the `combineUnisons` parameter, where any rests in the piece that does not preceed the first non-rest note are combined with neighboring rests (e.g. three whole rest measures in a row will be treated as a single 3 measure-long rest). By default, the `combineRests` parameter of the `notes()` function is set to `True`. Note that this is different from the default state of the `combineUnisons` parameter. This can be controlled similarly to the `combineUnison` parameter by the following code: + + piece.notes(combineRests = False) + #Or, the default value: + piece.notes(combineRests = True) + +![Alt text](images/_notes_3.png) + +Or, once again, incorporated with the `head()` function; + + piece_separate_rests = piece.notes(combineRests = False) + piece_separate_rests.head(20) + +Additionally, the `combineRests()` and `combineUnisons()` parameters may be changed simultaneously as follows: + + piece.notes(combineRests = False, combineUnisons = True).head(20) + +### Dealing with "NaN" Outputs: The `fillna()` Function + +It is important to realize that in code, '0' is not the same as Nothing. Where the former is an integer value, the latter is the lack of any value. These 'absent values' are often called 'Nulls' or, in Python and Pandas, 'NaN' values. Inevitably, appling the CRIM Intervals functions to a piece will result in some 'NaN' values. This is because the `notes()` function, for example, indicates any point where a pitch or rest *begins*, but does not indicate when it is *held*. As a result of this, any offset of the piece where a note is held in any voice will produce a 'NaN' value in that frame. To decrease the visual clutter of the table, these "NaN" outputs can be replaced with the `fillna()` function, which is used as follows; The `fillna()` function accepts a parameter of any data to replace the "NaN" elements of the `notes()` output table. This field may contain empty quotes, as shown above, or another symbol such as '-'. Any of the following are valid ways to replace "NaN" values with a more discrete symbol (though `fillna(0)` is somewhat more specialized): + + piece.notes().fillna('') + piece.notes().fillna('-') + piece.notes().fillna(0) + +![Alt text](images/notes_4.png) + +Note that the parameter of the `fillna()` function is not necessarily a text string, as any valid data could be provided, such as an integer value in place of the text field. Later, we will examples of cases where replacing 'NaN' values with 0 rather than a text string is optimal, but in many cases, it is simply beneficial to pass some discrete symbol to the `fillna()` function for the benefit of a human reader. + +Once again, this function can be modified by adding a `.head()` function to the line: + + piece.notes().fillna('-').head(20) + +## More About Measures, Beats, and Offsets: The `detailIndex()` Function + +By default, the `notes()` function returns a DataFrame which indexes by offsets: That is, events in the piece are counted by which overall beat in the piece they fall on. This is useful for measuring time distances between events, but not for a human reader to refer back to the musical score itself. It is easy to include measure and beat indexes by passing the result of the function to the `detailIndex()` function as shown: + + notes_rests = piece.notes() + notes_rest_DI = piece.detailIndex(notes_rests) + +For more information about the `detailIndex` function, consult [the function's documentation](09_DetailIndex.md). + +----- + +## Sections in this Guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics_Homorhythm.md) + * [08_TimeSignatures_BeatStrength](08_TimeSignatures_BeatStrength.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) + * [12_Modules](12_Modules.md) \ No newline at end of file diff --git a/tutorial/03_MelodicIntervals.md b/tutorial/03_MelodicIntervals.md new file mode 100644 index 0000000..f586a6e --- /dev/null +++ b/tutorial/03_MelodicIntervals.md @@ -0,0 +1,178 @@ +# Finding the Melodic Intervals in Pieces + +We have previously seen how `piece.notes()` can output a table of each time a note in the piece changes. Using functions in the CRIM Intervals library, we are also able to create tables of intervallic distances between notes. + +## The `melodic()` Function + +In its simplest form, `piece.melodic()` returns a DataFrame of diatonic intervals within each voice part in the piece. There is more to the story, however, since the `melodic()` function has a number of parameters that users can adjust to report intervallic distances in different ways: + +Default usage: + + piece.melodic() + +![Alt text](images/mel_1.png) +​ +The most important parameters: +* `kind`, for controlling if diatonic, chromatic, or other types of intervals are reported; default is diatonic +* `directed`, whether the report is simply a raw interval, or also reports whether it goes up or down; default includes direction +* `compound`, whether intervals larger than an octave are reported as simpler versions; default reports compounds as they actually appear +​ +And the more specialized parameters: +* `unit`, the possibility to measure the intervals at each new onset of a note, or to sample them at some regular time interval; default uses **actual** onsets and values +* `end`, determines the offset with which interval is associated (the first or second note of the pair): default places intervals at the offset of their **second** note +* `df`, the possibility to pass some dataframe of notes to the function in order to check the intervals of that passage or selection +​ +The details of each parameter's usage and default values are explained below. + +## `melodic()` parameters + +### Differentiating between Diatonic, Chromatic, and other intervals: the `kind` (str) parameter + +The `melodic()` function contains a parameter `kind`, which has a default value of "q". These inputs are case sensitive: +Diatonic with quality. This refers to "P8" for a perfect octave (e.g. C4 -> C5), "M3" for a major third interval (e.g. C5 -> E5), and "m3" for minor third interval (e.g. C5 -> E-5), for example: + + piece.melodic(kind = 'q') + +**Diatonic without quality**. Provides outputs such as "8" for an octave, and "3" for a third interval. + + piece.melodic(kind = "d") + +![Alt text](images/mel_2.png) + +**Chromatic**. The difference between two pitches in semitones. Outputs "12" for an octave interval (e.g. C4 -> C5), "6" for a tritone interval (e.g. C5 -> F#5), and "0" for a unison (e.g. C5 -> C5): + + piece.melodic(kind = "c") + +**Zero-based diatonic** intervals. To musicians it makes sense that a unison is represented as one, but this can produce some odd results in computational systems, in which calculated distances are 'zero-based': the distance between C4 and C4 is in fact 0, not 1 (as musicians would have it). Zero-Based Diatonic intervals are thus sometimes useful. The problem does not occur in Chromatic intervals, where the system reports the absolute distance in semitones between any two tones (C4 to C#4 is 1, not 2). Outputs "7" for a perfect octave interval up (e.g. D3 -> D4), "-4" for a fifth interval down (e.g. F5 -> A5), "2" for a third interval up (e.g. G4 -> B5): + + piece.melodic(kind = "z") + +### Up and Down vs. Aboslute: The `directed` Parameter + +By default, `directed = True`, which causes the melodic intervals to report their direction; "4" is an ascending fourth; "-4" is descending. Itt might be useful, however, simply to report the absolute distance without direction, such as if the aim is to know how many leaps of a sixth appear in a piece regardless of direction. In this case, use `directed = False`. + + #Default value: + piece.melodic(directed = True) + +[C5 -> G5] will return a diatonic interval of "4" +[G5 -> C5] will return a diatonic interval of "-4" + + piece.melodic(directed = False) + +[C5 -> G5] will return a diatonic interval of "4" +[G5 -> C5] will return a diatonic interval of "4" + +### Managing Intervals Greater than an Octave: The `compound` Parameter + +The `melodic()` function contains a parameter `compound`, with a default value of `True`. This means that intervals with a span greater than an octave will always be returned as such. The interval from C4 to E5 would be a diatonic 10, a chromatic 16, M10 using 'with quality', and 9 using 'zero-based diatonic'. + + piece.melodic(compound = True) + +Using `piece.melodic(compound = False)`, in contrast, analyzes all intervals as if they are within a octave (what musicians call the 'simple' intervallic distances). In this case the interval from C4 to E5 would be a diatonic 3, a chromatic 4, M3 using 'with quality', and 2 using 'zero-based with quality'. Note that an octave itself is not reduced to a unison. + +### Sampling Melodies at Regular Time Intervals: The `unit` Parameter + +In most cases, the `melodic()` function will be used to trace movement at each new onset of a note. Sometimes, however, it could be useful to 'sample' the tone being sounded at some regular time interval (for instance, if the purpose was to consider time series data). This can be accomplished with the `unit` parameter. This parameter's default value, `unit = 0`, simply means that melodic intervals will be assigned at each new onset of a note. Setting `unit = 1`, however, will force a 'sampled' reading of the intervallic distance at every quarter note (since '1.0 corresponds to that value in music21'): + + #default value [redundant to include in code]: + piece.melodic(unit = 0) + + #possible replacement values: + piece.melodic(unit = 1) + piece.melodic(unit = 4) + +![Alt text](images/mel_3.png) +​ +Setting `unit` to a small value might be helpful in comparing the degree of movement in several voices. +​ +Setting `unit` to larger number could be used to ignore ornamental tones (2.0, for instance, corresponds to the half-note [minim], a common basic unit of motion in Renaissance melodies). +​ +Note that `beatStrength` provides another way of sampling melodic motion to highlight accented tones. For more information about beat strength, see the section of this guide dedicated to [time signatures and beat strength](08_TimeSignatures_BeatStrength.md). + +### Where Does the Interval Actually Occur? The `end` Parameter + +Normally, CRIM Intervals associates melodic intervals with the moment of change, namely the onset of the **second** note of the pair. If C5 sounds on offset 1.0 and D5 sounds on offset 2.0, a melodic interval of M2 will be associated with offset 2.0. Therefore, the default value of this parameter is `end = True`, in which the interval is associated with the 'end' of the pair. In some cases, it might be useful to associate the interval with the first note of the pair instead. In this case, `end = False`. + +Assuming a C5 sounds on offset 1.0, and a D5 sounds on offset 2.0: + +Default value, which would return an interval on **beat 2**: + + piece.melodic(end = True) + +Alternate value, which would return an interval on **beat 1**: + + piece.melodic(end = False) + +![Alt text](images/mel_4.png) + +### Applying `melodic()` to a Custom Set of Notes: The `df` Parameter + +Normally `melodic()` will be used with a complete piece, as in `piece.melodic()`, along with any special parameters needed. Sometimes, however, it might be useful to provide a special set of notes to melodic. For example, to run `melodic()` on the piece with combined unisons, it will first be necessary to create a DataFrame of the piece with combined unisons, and in turn pass that DataFrame to the `melodic()` function via the `df` parameter: + + nr_combined_unisons = piece.notes(combineUnisons = True) + piece.melodic(df = nr_combined_unisons) + +Compare the results of this with `piece.melodic()` to see the difference! + +Of course there might be other situations in which a special DataFrame of notes and rests would be passed to the `melodic()` function. For example, if 'structural tones' are derived from `beatStrengths()`, then passing that dataframe to the `melodic()` function would produce a kind of 'Ur' melody devoid of non-structural tones: + + beat_strength_notes = piece.beatStrengths() + piece.melodic(df = beat_strength_notes) + +### Dealing with Consecutive Pitch Repetition/Rests: The `combineUnisons` and `combineRests` Parameters: + +Unlike the `notes()` functions, the `melodic()` function does not contain `combineUnisons` or `combineRests` parameters. These parameters, however, can still be used in conjunction with the `melodic()` function as follows: + + nr_no_unisons = piece.notes(combineUnisons = True) + piece.melodic(df = nr_no_unisons) + +![Alt text](images/mel_5.png) + +Or (though less useful), + + nr_separate_rests = piece.notes(combineRests = False) + piece.melodic(df = nr_separate_rests) + +## `fillna()` and `dropna()` Functions + +We have previously seen the `fillna()` function which, when applied to a DataFrame, replaces all "NaN" objects with the chosen text. For example: + + piece.melodic().fillna('-') + +We are also able to apply the `dropna()` function, which (by default) removes all rows (beats) from the table consisting *entirely* of "NaN" values. + + piece.melodic().dropna() + +This would be equivalent to specifiying the function as follows: + + piece.melodic().dropna(how = 'all') + +Alternatively, rows could be dropped if they contian *any* "NaN" values: + + piece.melodic().dropna(how = 'any') + +## More About Measures, Beats, and Offsets: The `detailIndex()` Function + +By default, the `melodic()` function returns a DataFrame which indexes by offsets: That is, events in the piece are counted by which overall beat in the piece they fall on. This is useful for measuring absolute time distances between events, but not as useful for a human reader who wants to refer back to the musical score itself. It is easy to include measure and beat indexes, where each event will be shown in reference to which measure (and beat of that measure) in which it appears by passing the result of the function to the `detailIndex()` function as shown. Note the capitalization of the `detailIndex()` function: + + mel = piece.melodic() + mel_di = piece.detailIndex(mel) + +For more information about the `detailIndex` function, consult [the function's documentation](09_DetailIndex.md). + +----- + +## Sections in this Guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics_Homorhythm.md) + * [08_TimeSignatures_BeatStrength](08_TimeSignatures_BeatStrength.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) + * [12_Modules](12_Modules.md) \ No newline at end of file diff --git a/tutorial/04_HarmonicIntervals.md b/tutorial/04_HarmonicIntervals.md new file mode 100644 index 0000000..3e80db8 --- /dev/null +++ b/tutorial/04_HarmonicIntervals.md @@ -0,0 +1,132 @@ +# Finding the Harmonic Intervals in Pieces + +We have just seen how the `melodic()` function allows us to examine the points in the score where the pitch changes in a single voice, resulting in a melodic intervals. We are also able to examine harmonic intervals, which is the difference in pitch between two voices who sound a note simultaneously. This can be accomplished with the `harmonic()` function. + +## The `harmonic()` Function + +Harmony is one of the most important elements of music, and of musical similarity. By searching for patterns where pieces utilize certain harmonic intervals, we are able to find points of similarity within and between different pieces. In its simplest form, `harmonic()` simply produces a DataFrame of each harmonic interval present in a piece, between all possible voice pairs: + + piece.harmonic() + +![Alt text](images/har_1.png) + +The function can, however, be modified by each of its parameters: +* `kind`, for controlling if diatonic, chromatic, or other types of intervals are reported; default is diatonic +* `directed`, for controlling whether the report is simply a raw interval, or also reports whether it goes up or down (indicated with a '-' if down); default includes direction +* `compound`, whether intervals larger than an octave are reported as simpler versions; default reports compounds as they actually appear +* `againstLow`, whether harmonic intervals are produced for every combination of voices, or just between each non-lowest voice and the lowest active voice at each harmonic offset; default generates every combination of voices + +## `harmonic()` Parameters + +### Differentiating Between Diatonic, Chromatic, and Other Intervals: The `kind` Parameter + +The `harmonic()` function contains a parameter `kind`, which has a default value of "q". These inputs are case sensitive: + +**Diatonic with qualities**. These qualities are outputs such as "P8" for a perfect octave (e.g. C4 -> C5), "M3" for a major third interval (e.g. C5 -> E5), and "m3" for minor third interval (e.g. C5 -> E-5): + + piece.harmonic(kind = 'q') + +**Diatonic without qualities**. Provides outputs such as "8" for an octave, and "3" for a third interval: + + piece.harmonic(kind = "d") + +![Alt text](images/har_2.png) + +**Chromatic**. Simply the difference in pitch including all intermediary notes. Outputs "12" for an octave interval (e.g. C4 -> C5), "6" for a tritone interval (e.g. C5 -> F#5), and "0" for a unison (e.g. C5 -> C5): + + piece.harmonic(kind = "c") + +**Zero-based**. Diatonic intervals, begins counting at 0 rather than 1. Outputs "7" for a perfect octave interval up (e.g. D3 -> D4), "-4" for a fifth interval down (e.g. F5 -> A5), "2" for a third interval up (e.g. G4 -> B5): + + piece.harmonic(kind = "z") + +### Up and Down vs. Aboslute: The `directed` Parameter + +By default, `directed = True`, which causes the melodic intervals to report their direction; "4" is an ascending fourth; "-4" is descending. It might be useful, however, simply to report the absolute distance without direction, such as if the aim is to know how many harmonic intervals of a sixth appear in a piece regardless of their direction. In this case, use `directed = False`. + + #Default value: + piece.harmonic(directed = True) + +[C5 -> G5] will return a diatonic interval of "4" +[G5 -> C5] will return a diatonic interval of "-4" + + piece.harmonic(directed = False) + +[C5 -> G5] will return a diatonic interval of "4" +[G5 -> C5] will return a diatonic interval of "4" + +### Managing Intervals Greater than an Octave: The `compound` Parameter + +The `harmonic()` function contains a parameter `compound`, with a default value of `True`. This means that intervals with a span greater than an octave will always be returned as such. The interval from C4 to E5 would be a diatonic 10, a chromatic 16, M10 using 'with quality', and 9 using 'zero-based diatonic'. + + piece.harmonic(compound = True) + +Using `piece.harmonic(compound = False)`, in contrast, analyzes all intervals as if they are within a octave (what musicians call the 'simple' intervallic distances). In this case the interval from C4 to E5 would be a diatonic 3, a chromatic 4, M3 using 'with quality', and 2 using 'zero-based with quality'. Note that an octave itself is not reduced to a unison. + +![Alt text](images/har_3.png) + +### Harmonic Intervals Between All Voice Pairs, or Only Comparing to the Lowest Voice? The `againstLow` Parameter + +By default, `harmonic()` generates a DataFrame of the harmonic intervals between **ALL** voice pairs present at a given offset. This is the case when the `againstLow` parameter is set to its default, `False`. Alternatively, however, we may wish to explore each voice's harmonic relationship only to the lowest voice present at each offset, and not need other harmonic pairs creating clutter in our DataFrame output. When changed to `True`, harmonic intervals will only be shown between the lowest voice and each other voice at a given offset: + + piece.harmonic(againstLow = True) + +![Alt text](images/har_4.png) + +This means that if a piece contained a Bass, Tenor, Alto, and Soprano voice, all four voices were sounding, and `againstLow` was set to **True**, `harmonic()` will generate the interval between the Bass and the Tenor, the Bass and the Alto, and the Bass and the Soprano. It will **NOT** generate any harmonic interval between the Tenor and Alto, Tenor and Soprano, or Alto and Soprano. The same logic would also apply even if the Bass was not present, where only the harmonic intervals appearing would be between the Tenor and Alto voices, and between the Tenor and Soprano voices. + +### Dealing with Consecutive Pitch Repetition/Rests: The `combineUnisons` and `combineRests` Parameters: + +Unlike the `notes()` functions, the `harmonic()` function does not contain `combineUnisons` or `combineRests` parameters. These parameters, however, can still be used in conjunction with the `harmonic()` function as follows: + + nr_no_unisons = piece.notes(combineUnisons = True) + piece.harmonic(df = nr_no_unisons) + +Or (though less useful), + + nr_separate_rests = piece.notes(combineRests = False) + piece.harmonic(df = nr_separate_rests) + +## `fillna()` and `dropna()` Functions + +We have previously seen the `fillna()` function which, when applied to a DataFrame, replaces all "NaN" objects with the chosen text. For example: + + piece.harmonic().fillna('-') + +We are also able to apply the `dropna()` function, which (by default) removes all rows (beats) from the table consisting *entirely* of "NaN" values. + + piece.harmonic().dropna() + +This would be equivalent to specifiying the function as follows: + + piece.harmonic().dropna(how = 'all') + +Alternatively, rows could be dropped if they contian *any* "NaN" values: + + piece.harmonic().dropna(how = 'any') + +## More About Measures, Beats, and Offsets: The `detailIndex()` Function + +By default, the `harmonic()` function returns a DataFrame which indexes by offsets: That is, events in the piece are counted by which overall beat in the piece they fall on. This is useful for measuring time distances between events, but not for a human reader to refer back to the musical score itself. It is easy to include measure and beat indexes by passing the result of the function to the `detailIndex()` function as shown: + + har = piece.harmonic() + har_DI = piece.detailIndex(har) + +For more information about the `detailIndex` function, consult [the function's documentation](09_DetailIndex.md). + +----- + +## Sections in this Guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics_Homorhythm.md) + * [08_TimeSignatures_BeatStrength](08_TimeSignatures_BeatStrength.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) + * [12_Modules](12_Modules.md) \ No newline at end of file diff --git a/tutorial/05_Ngrams.md b/tutorial/05_Ngrams.md new file mode 100644 index 0000000..9228ea4 --- /dev/null +++ b/tutorial/05_Ngrams.md @@ -0,0 +1,327 @@ +# Finding ngrams and Entries with CRIM Intervals + +An **n-gram** (hereafter simply 'ngram') is a commonly used linguistic term for a continuous string of characters or events. A series of any musical expressions in pieces of music, specifically of some length *N*, can similarly be refered to as an **ngram**. With the `ngrams()` function we are able to represent various different types of ngrams depending on the data input type: + +* An ngram of notes, harmonic intervals, durations, or lyrics will involve *N* notes, or in the case of harmonic (vertical) intervals, *N* pairs of notes +* An ngram of melodic intervals will involve (*N* + 1) notes, since it involves *N* **lateral intervals between** notes + +## The `ngrams()` Function in Brief + +By gathering all ngram of a given length, we can make a DataFrame of every instance in which a series of *N* consecutive events is found. These can in turn be used to find patterns within a piece (such as recurring melodies), or across a corpus of compositions. + +By default, the `piece.ngrams()` function returns ngrams of *contrapuntal modules*. These are in fact combinations of harmonic and melodic ngrams heard in pairs of voices, as explained below. They are priviledged in CRIM Intervals because of their value in working with the complexities of the `piece.cadences()` function. + +It is nevertheless relatively easy to find other kinds of ngrams for a single musical feature (such as all all the melodic ngrams, or harmonic ones, or even lyric and durational ngrams. + +Note that the `entries()` function (explained below) can be used in conjunction with `ngrams()` to find important events in a piece. + +## The Parameters: + +Various parameters afford the means to adjust results; some are used only with the contrapuntal module method. Others (like the basic length setting, 'n') are useful regardless of the kind of ngrams sought. + +### Parameters Used for All Kinds of Ngrams + +* `n`, which controls the length of the ngram being found; default creates ngram of length 3 (involving *3* notes for a `notes()`, `harmonic()`, `durations()`, or `lyrics()` DataFrame, but *4* notes for a `melodic()` DataFrame) +* `df`, which allows a custom DataFrame to be passed into the `ngrams()`, and is the only way to create ngrams other than the default 'contrapuntal module' type +* `other`, which allows a *second* custom DataFrame to be passed into the `ngrams()` function to consider multiple types of events in a piece simultaneously, thus producing 'combination ngrams' of things like lyrics and durations +* `unit`, which will regularize the frequency of ngram polling rather than finding every occurence +* `exclude`, which omits any ngram containing a given string from the output; default excludes 'Rest' +* `offsets`, which controls if an ngram is associated with the first or last offset of its duration; default places ngram at the onset of their first note + +### Parameters Used for Contrapuntal Ngrams Only + +* `held`, which controls how unisons appear in the lower voice of a contrapuntal module; default is 'Held' +* `interval_settings`, which allows custom settings for the intervals reported in the contrapuntal modules `kind`, `directed`, and `compound` parameters provided that *no data is passed* into the `df` or `other` parameters; default is `kind = 'd'`, `directed = True`, and `compound = True`. This parameter is **not** used when passing in a df for melodic or harmonic ngrams alone. +* `show_both`, which allows the melodic motion of both voices in a contrapuntal model to be shown; default only displays the melodic motion of the lower voice. + +## Contrapuntal Ngrams in Detail + +### Default Contrapuntal Module Ngrams + +By default, the `ngrams()` function will always find **contrapuntal modules**. These consist of alternating sequences of the harmonic and melodic intervals formed by every pair of voices in a piece. Also by default in the case of these contrapuntal modules, only the melodic motion of the lower voice in the pair is shown (see `show_both` below for how to show the melodic motion of the upper voice, too). + +The result is thus sequence of N items expresses as a string. If n = 3, for instance (`piece.ngrams(n = 3).fillna('')`, an ngram of '12_4, 10_Held, 8' between two voices means that three harmonic intervals (12, 10, 8) were formed while the lower voice first went up a fourth, then 'held' (via a tie). The melodic motion of the upper part could be inferred from these five pieces of information. The following example will serve to illustrate: + +![Alt text](images/ng_1.png) + +### Modifying Contrapuntal Module `kind`, `compound`, and `directed`: the `interval_settings` parameter + +By default the contrapuntal modules use `kind = 'diatonic'`, `directed = True`, and `compound = True` for the harmonic and melodic intervals it reports. Of course it is vital that the intervals for both dimensions of these modules always match. Fortunately the `ngrams` function provides a simple way to do this via the `interval_settings` parameter. The values must be applied in this order: **kind, directed, compound** and enclosed in parenthesis as a single parameter called 'interval_settings'. Here for instance the kind is chromatic, directed is True, and compound is False: + + piece.ngrams(interval_settings = ('c', True, False)) + +![Alt text](images/ng_2.png) + +This is the equivalent of the rather verbose sequence: + + mel = piece.melodic(kind = "c", directed = True, compound = False) + har = piece.harmonic(kind = "c", directed = True, compound = False) + ngrams = piece.ngrams(df = har, other = mel) + ngrams + +See more about combining different dataframes into ngrams below. + +### Other Features of Contrapuntal Module Ngrams + +* **contrapuntal ngrams** (since they contain an odd number of harmonic 'slices' and even number of intervening melodic 'motions') are best used with **odd-numbered values for 'n'**. See more about setting `n` below. +* **Melodic unisons in the lower part of a contrapuntal pair** are by default reported as 'held'. To substitue another string for these situations (such as "1", or "0"), used the `held` parameter: `piece.ngrams(held = '1')` [note that the value must be passed as a string] + +![Alt text](images/ng_3.png) + +* **showing melodic motion in both voices of a contrapuntal module** is made possible by setting *two* parameters: use `exclude = []` (since otherwise all rests will be excluded from the results) and `show_both = True`. The full function will thus be: `piece.ngrams(exclude = [], show_both = True)` + +![Alt text](images/ng_4.png) + +### Melodic, Harmonic, Lyric, and Durational Ngrams: Using the `df` Parameter + +Note: Ngrams produced in the following ways will be dataframes of 'tuples'. See more about how to work with these under 'Tuple Trouble' below. + +Ngrams that represent a **single dimension of the score** are build by passing a dataframe to the `ngram()` function via the `df` parameter. For example, the following code will find the **melodic ngrams** in a piece: + + mel = piece.melodic() + mel_ngrams = piece.ngrams(df = mel) + mel_ngrams + +![Alt text](images/ng_5.png) + +*Adjust the parameters of the original function first!* For instance to find **melodic ngrams with combined unisons and chromatic intervals**, first specify the relevant parameters with `piece.melodic()`, and then pass those results to `piece.ngrams()` with the `df` parameter: + + nr = piece.notes(combineUnisons = True) + mel = piece.melodic(df = nr, end = False) + mel_ng = piece.ngrams(df = mel, n = 4) + mel_ng + +![Alt text](images/ng_6.png) + +Similar strategies would work for harmonic, durations, or lyrics: + + har = piece.harmonic(compound = False) + har_ngrams = piece.ngrams(df = har).fillna('') + har_ngrams + +![Alt text](images/ng_7.png) + +Or: + + lyr = piece.lyrics() + lyr_ngrams = piece.ngrams(df = lyr, n=5).fillna('') + lyr_ngrams + +![Alt text](images/ng_8.png) + +Or: + + dur = piece.durations() + dur_ngrams = piece.durations(df = dur).fillna('') + dur_ngrams + +![Alt text](images/ng_9.png) + +--> +### Setting ngram Length: the `n` Parameter + +When gathering ngrams, we can either search for ngrams of a specific length (default = 3). It can be set via the `n parameter: + + mel = piece.melodic() + ngrams = piece.ngrams(df = mel, n = 5) + ngrams + +Remember that modifications to the particular type of feature in question needs to be made when applying that function. The type of melodic interval, for instance, is set, here in `melodic()`. The length of the ngrams is set in `ngrams()`: + + mel = piece.melodic(kind = "c", compound = False) + ngrams = piece.ngrams(df = mel, n = 5) + ngrams + +#### Also note that: + +* The ngram method will produce a 'moving window' of events of length `n`. To limit the results to important 'entries' (ngrams that come after rests, fermatas, double barlines, see the `piece.entries()` below. +* In the case of melodic ngrams, the presence of any `Rest` means that the ngram will 'break' at that point (since there is no melodic interval between a note and a rest). The treatment of rests for other kinds of ngrams is determined by the `exclude` parameter, as explained below. +* To find *melodic ngrams of the maximum length* until a rest is found, set `n = -1`. + +### Combination ngrams: using `df` and `other` Parameters Together + +The default 'contrapuntal module' ngram is in fact a combination of two different dataframes: one for the harmonic intervals and the other for the melodic ones. But it is possible to create other combinations by passing *both `df` and `other` to `ngrams()`, provided that the `df` and `other` parameters have the same shape (overall number of rows and columns). + +For example, the following line of code will produce **ngrams of length 5 containing the information associated with both the melodic intervals and durations at each subsequent offset in a piece:** + + lyr = piece.lyrics() + dur = piece.durations() + lyr_dur_ngrams = piece.ngrams(df = lyr, other = dur, n = 5) + lyr_dur_ngrams + +Or, more directly: + + ng = piece.ngrams(df = Piece.lyrics(), other = piece.durations(), n = 5) + ng + +![Alt text](images/ng_10.png) + +### nGrams at Using Regularized Durations: The `unit` Parameter + +By default, applying the `ngrams()` function to a piece will produce ngrams the **actual note values** found in the piece. It is nevertheless possible to determine the ngrams according to some fixed number of offsets using the `unit` parameter, which will force the function to only output ngrams found at a given regular interval. This can be helpful for applications such as only finding ngrams which begin on the first beat of a measure, or other similar situations where regularity is helpful. + +It would probably make little sense to use '1.0' or some other tiny unit, since this would result in a vast number of unisons or static harmonic passages as longer notes are sampled multiple times. But setting `unit = 2.0` would correspond to the half-note (minim), a common basic pace of melodic and harmonic motion in Renaissance counterpoint. Larger units might also be revealing of large = scale sequences. + +The 'unit' parameter only works with contrapuntal ngrams: + + piece.ngrams(unit = 4) + +If regularized melodic ngrams (or some other type) are needed, it will be necessary to use the `regularize()` function: + + nr = piece.notes() + reg = piece.regularize(nr, unit = 2) + mel = piece.melodic(df = reg, kind = 'd') + piece.ngrams(df = mel) + +Compare results with and without regularization (unit = 2): + + +![Alt text](images/ng_11.png) + + +### ngram Reference Points: the `offsets` Parameter + +An ngram can be placed within the DataFrame at one of two offsets. By default, the `offsets` parameter is set equal to `"first"`. In this case the ngram will be associated with the offset of the first element in it (such as the first interval or first lyric syllable). Alternatively, setting the parameter to `"last"` will place it at the offset of its last element. + +Melodic ngrams at offset at start of first note (note settings for both mel and ngrams!): + + mel = piece.melodic(kind = "c", end = False) + mel_ngrams_lastOffset = piece.ngrams(df = mel, n = 5, offsets = "first").fillna('') + mel_ngrams_lastOffset + + +Melodic ngrams at offset at end of last note (note settings for both mel and ngrams!): + + mel = piece.melodic(kind = "c", end = True) + mel_ngrams_lastOffset = piece.ngrams(df = mel, n = 5, offsets = "last").fillna('') + mel_ngrams_lastOffset + + +![Alt text](images/ng_12.png) + + +## All ngrams or Entries Only? The `entries()` Function + +By default, the `ngrams()` function will find every single series of intervals of its given length, creating a moving window that will find not only the ngrams representing the beginnings of melody lines, but also those same ngrams starting from the second interval, and from the third, and so on. We can include only the ngrams of melodic intervals which begin after a rest, section break, or fermata with the `entries()` function. + +Note that: + +- if passing melodic intervals they must be with `end = False`, since the entries are also calculated this way +- the ngrams created from the df of melodic intervals just also be set with `offsets = 'first'` (this is the default), since the entries are found this way + +There are several other possible parameters for `entries()`: + +- If `thematic` is set to **True**, this method returns all instances of entries +that happen *at least twice anywhere in the piece*. This means +that a melody must happen at least once coming from a rest, and at least +one more time, though the additional time doesn't have to be after a rest. +Setting this to False will return 'singleton' entries: melodies that come after a rest +but occur only once in the piece. +- If `anywhere` is set to True, the final results returned include all +instances of entry melodies, whether they come from rests or not. +- If `fermatas` is set to True (default), any melody starting immediately +after a fermata will also be counted as an entry. + +Thus compare *moving window of melodic ngrams*: + + mel = piece.melodic(kind = 'd', end=False) + mel_ngrams = piece.ngrams(df = mel, n=4, offsets = 'first').fillna('') + piece.detailIndex(mel_ngrams, offset=True).head(10) + +![Alt text](images/ng_13.png) + +With results *limited to entries*: + + + mel = piece.melodic(kind = 'd', end = False) + mel_ngrams = piece.ngrams(df = mel, n = 4, offsets = 'first') + entries = piece.entries(df = mel_ngrams, thematic=False, anywhere=False, fermatas=True, exclude=[]).fillna('') + entries + +![Alt text](images/ng_14.png) + +And compare results of *limited to entries allowing singletons* via `thematic = False` + +![Alt text](images/ng_15.png) + +With results of *limited to entries allowing only entries that occur more than once* (but at least once after a rest) vis `thematic = True`: + +![Alt text](images/ng_16.png) + +This output can then be passed to yet another function as a `df` value. For example, we can sum the durations of each cell together to find the overall *durations of melodic ngrams* with the following: + + # get notes, either combining unisons or not + nr = piece.notes(combineUnisons = True) + # get melodic intervals based on previous, plus settings. Note end = False so that we associate the interval with the starting note + mel = piece.melodic(df = nr, kind = 'd', end = False) + # now the mel ngrams, based on that starting position, etc + mel_ng = piece.ngrams(df = mel, n = 4).fillna(') + # and instead of the moving window, we mask them off to entries only + entries = piece.entries(mel_ng) + # now the total durations of those entries. note that passing a df to duration will make a sum of all the values in each cell + ng_durs = piece.durations(df = entries) + ng_durs + +## Tuple Trouble, and How to Fix It + +Note that the output of `ngrams()` for *any of the single-feature types* (melodic, harmonic, durations, lyrics) is a DataFrame of **tuples**, which are immutable data types. To convert from tuples to usable strings, it is necessary to apply a custom function to each cell of the DataFrame with `applymap()`: + + #define the function to convert tuples to strings + def convertTuple(tup): + out = "" + if isinstance(tup, tuple): + out = ', '.join(tup) + return out + + #find mel ngrams + mel = piece.melodic() + mel_ngrams = piece.ngrams(df = mel) + + #apply function to all cells + mel_ngrams_no_tuples = mel_ngrams.applymap(convertTuple) + mel_ngrams_no_tuples + +It is **not** necessary to treat the contrapuntal ngrams in this way, as the default function already converts the results to strings. + +## Removing "NaN" values + +Similarly to other functions previously discussed in this documentation, ngram DataFrams can be cleaned up using the `dropna()` and `fillna()` functions to drop all rows filled with only "NaN" values, and replace the remaining "NaN" values with blank spaces so that the table may be read more easily: + + cleaned_entries = entries.dropna(how = "all").fillna(' ') + cleaned_entries + +## Organizing by Measures and beats + +To display DataFrames relative to measures, and beats within measures, rather than offsets across the entire piece, we can use the `detailIndex()` function, which is [documented here](09_DetailIndex.md). + +## Counting ngrams + +After using the `ngrams()` function to identify all of the ngrams in a piece, they can be counted and sorted by their frequency in the piece overall using some [general pandas functions](11_Pandas.md): + + mel = piece.melodic(kind = "c", compound = False) + melNgrams = mel.ngrams(n = 4) + melNgrams.stack().value_counts().to_frame() + +## Searching for melodic ngrams + +**More Information Pending** + + + + +----- + +## Sections in this Guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics_Homorhythm.md) + * [08_TimeSignatures_BeatStrength](08_TimeSignatures_BeatStrength.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) + * [12_Modules](12_Modules.md) \ No newline at end of file diff --git a/tutorial/06_Durations.md b/tutorial/06_Durations.md new file mode 100644 index 0000000..1b69e36 --- /dev/null +++ b/tutorial/06_Durations.md @@ -0,0 +1,89 @@ +# Finding Durations of Notes in Pieces + +In addition to finding pitches and melodic/harmonic intervals in pieces, we can find the durations of pitches with the `durations()` function + +## The `durations()` Function + +Unlike previous DataFrames, which contained strings or integers, the `durations()` function outputs a DataFrame of floats (number values with decimal). By default, the `durations()` function will output a pandas DataFrame of the duration of each note or rest in the piece or corpus of pieces provided: + + dur = piece.durations() + +This function's output can be modified by changing its various parameters: + +* `df`, which allows the `durations()` function to be applied to a specific DataFrame of a piece, such as the piece's melodic or harmonic intervals +* `n`, which changes the amount of consecutive notes, intervals, or other objects in a DataFrame whose durations are summed together into each frame of the `durations()` output. By default, `n = 1`, which separates each consecutive duration into its own frame. +* `mask_df`, which allows a filter to be applied to an existing DataFrame of information to selectively display certain DataFrames sampled from a different DataFrame. + +## `durations()` Parameters: + +### Applying `durations()` to a Custom Set of Information: The `df` Parameter + +Normally `duration()` will be used with a complete piece, as in `piece.durations()`. But sometimes it is useful to pass only a selection of notes (as might be necessary if the `combineUnisons` parameter is **True** for `notes()`). The only way to check the durations in that case is to first create the df of the notes with unisons combined and then pass that to durations(). For example: + + mel = piece.melodic(combineUnisons = True) + piece.durations(df = mel) + +### Sizing the Duration-finding Window: The `n` Parameter + +We already saw notes(combineUnisons), and notes(combineRests). Now we are combining events, possibly notes, but possibly things like harmonic patterns or lyrics or anything that has a duration. The number in this case thus represents not some duration, but rather the *number of successive non-NANs to be combined and 'summed' as a single aggregated duration*. When an `n` parameter is added to the `durations()` function, the DataFrame created will therefore combine the first *n* durations found after a given offset into a single sum at that first offset. Therefore, at its default value of 1, it will prints every individual duration, and does not combine any frames: + + piece.durations() + #is equivalent to + piece.durations(n = 1) + +If a piece contained 8 consecutive quarter notes, for example, this code will return 8 durations (at every offset) of '1.0', + + piece.durations() + +but this code will return 7 consecutive durations of '2.0', since the code is "looking ahead" to find the sum of the next *2* durations (counting the duration of the offset itself as one duration). Another way to phrase this is that the following code will group together the durations found on beats 1 and 2, 2 and 3, 3 and 4...6 and 7, and 7 and 8, finding 7 total *pairs* of durations. + + piece.durations(n = 2) + +There is a special case when `n = -1`, which will sum the largest possible groups of consecutive **non-rest** durations found in the piece. The code will output the durations of the longest series (no sub-sets within a phrase starting from the 2nd note, from the 3rd note, etc.) of every series of consecutive harmonic intervals in a piece. This type of application could be useful to find the length of a melody (if applied to melodic intervals), or how long two voices remained in harmony, as shown: + + harm = piece.harmonic() + longest_harm_durs = piece.durations(df = harm, n = -1) + +### Selectively Finding Durations: The `mask_df` Parameter + +Rather than finding all of the durations in a piece, a `mask_df` DataFrame can be applied to the `durations()` function to only find durations which align with certain events found in some other DataFrame. For instance we could find all the melodic ngrams of length 'n', then find the duration of each of those ngrams: + + mel = piece.melodic() + _n = 5 + mel_ngrams = piece.ngrams(df = mel, n = _n).fillna('') + mel_ngram_Durations = piece.durations(df = mel, n = _n, mask_df = mel_ngrams).fillna('') + mel_ngram_Durations + +Or the same for harmonic ngrams: + + har = piece.harmonic() + _n = 5 + har_ngrams = piece.ngrams(df = har, n = _n).fillna('') + har_ngram_Durations = piece.durations(df = har, n = _n, mask_df = har_ngrams).fillna('') + har_ngram_Durations + +## More About Measures, Beats, and Offsets: The `detailIndex()` Function + +By default, the `durations()` function returns a DataFrame which indexes by offsets: That is, events in the piece are counted by which overall beat in the piece they fall on. This is useful for measuring time distances between events, but not for a human reader to refer back to the musical score itself. It is easy to include measure and beat indexes by passing the result of the function to the `detailIndex()` function as shown: + + piece_durs = piece.durations() + piece_durs_DI = piece.detailIndex(piece_durs) + +For more information about the `detailIndex` function, consult [the function's documentation](09_DetailIndex.md). + +----- + +## Sections in this Guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics_Homorhythm.md) + * [08_TimeSignatures_BeatStrength](08_TimeSignatures_BeatStrength.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) + * [12_Modules](12_Modules.md) \ No newline at end of file diff --git a/tutorial/07_Lyrics_Homorhythm.md b/tutorial/07_Lyrics_Homorhythm.md new file mode 100644 index 0000000..2f7167b --- /dev/null +++ b/tutorial/07_Lyrics_Homorhythm.md @@ -0,0 +1,233 @@ +# Lyrics and Homorhythm + +CRIM intervals can find all of the text syllables associated with notes in each piece. The `lyrics()` function can, moreover, be used with many other CRIM Intervals functions, such as `ngrams()`, `durations()`, and so on. The `homorhythm()`, for instance, compares ngrams of lyrics and durations to predict passages where two or more voices are declaiming the same text in the same rhythms. + +The `piece.lyrics()` function does not take any parameters. But `piece.homorhythm()` does: + +* `ngram_length` (which is 4 by default, and determines the number of durations and syllables that must be in common among the voices in order to be marked as HR); + +* `full_hr` (which is True by default). When `full_hr = True` the method will find any passage where *all active voices* share the same durational ngram and syllables; if `full_hr = False` the method will find *any passage where even two voices share the same durational ngram and the same syllables*. + +See more below for details on the meaning of the columns reported by `piece.homorhythm()` + +## The `lyrics()` Function + +By default, applying the `lyrics()` function to a piece will generate a DataFrame containing the lyrics at each relevant offset, for each voice part. + + lyrics = piece.lyrics() + +As opposed to integers or floats, the DataFrame produced by the `lyrics()` function will be in the form of **text strings**. Also unlike other functions, the `lyrics()` function has no parameters, and therefore can only be executed in one way. Its usage, however, can still be varied based on the other functions with which it is combined. Note, for instance, that piece.`piece.ngrams(df = Piece.lyrics())` will result in a dataframe that contains cells of *tuples*, just as the ngrams() function will for any other musical feature. + +## Alphabetical Characters Only? How to Remove Punctuation Marks from Results + +Particularly for projects that aim to assemble lyric syllables into words (or at least ngrams), it might be useful to remove from the initial results the various dashes, hyphens, and punctuation marks from the individual cells before assembling them into ngrams. Fortunately Pandas and Python have a convenient *applymap* method that does this with one line of code: + + lyrics = piece.lyrics() + lyrics_cleaned = lyrics.applymap(alpha_only) + +## Lyric Ngrams + +To find N-grams of length 5 (groupings of 5 consectuive syllables found in the lyrics of a piece): + + # define length of ngrams + _n = 5 + # get the lyrics + lyr = piece.lyrics() + # get ngrams of lyrics + piece.ngrams(df = lyr, n = 5, entries = True) + +Or, more succinctly: + + n = _n + piece.ngrams(df = Piece.lyrics(), n = _N) + +## Cleaning Up Lyrics: Dealing with Punctuation, Hyphens, etc + +**Lyric ngrams without punctuation and hyphens:** + + #define length of ngrams + _n = 5 + #get the lyrics + lyr = piece.lyrics() + #clean the lyrics + lyrics_cleaned = lyrics.applymap(alpha_only) + # get ngrams of cleaned lyrics + piece.ngrams(df = lyrics_cleaned, n = _n) + +**Lyric ngrams, cleaned, entries only:** + + #define length of ngrams + _n = 5 + #get the lyrics + lyr = piece.lyrics() + #clean the lyrics + lyrics_cleaned = lyrics.applymap(alpha_only) + # get ngrams of cleaned lyrics, now with entries = True (see ngrams documentation for more detail) + piece.ngrams(df = lyrics_cleaned, n = _n, entries = True) + +**Lyric ngrams as strings: avoiding "Tuple Trouble"** + +Remember that the ngrams will be expressed as *tuples of syllables*. If the plan is to match or search for certain collections of syllables, these will need be transformed as strings. Use a *convertTuple* function, like this: + + def convertTuple(tup): + out = "" + if isinstance(tup, tuple): + out = ', '.join(tup) + return out + +Then use `applymap()` on the entire dataframe of ngrams: + + #select length of ngrams + n = _n + #make the ngrams + lyric_ngs = piece.ngrams(df = Piece.lyrics(), n = _N) + #convert them to tuples + lyric_ngs_strings = lyric_ngs.applymap(convertTuple) + +Or more succinctly: + + n = _n + #make the ngrams + lyric_ngs_strings = piece.ngrams(df = Piece.lyrics(), n = _N).applymap(convertTuple) + +## Predicting Homorhythmic Passages: `piece.homorhythm()` + +The `piece.homorhythm()` function identifies passages in which more than one voice has the *same durational ngrams* and the *same lyrical ngrams* at the *same time*. The method follows various stages: + +* gets durational ngrams, and finds passages in which these are the same in more than two voices at a given offsets +* gets lyric ngrams, and finds passages in which the same sequence of two syllables are heard successively in at least two voices at the same offsets. +* checks the number of active voices (in order to count the number moving on coordinated homorhythm) + +### What the `piece.homorhythm()` Columns Mean + +The results of `piece.verovioHomorhythm()` contain a multiIndex as well as several columns, as explained above: + +* **Measures, Beats, and Offsets** (the multiIndex) +* **active_voices** +* **number_dur_ngrams** +* **hr_voices** +* one column for each voice part in the original piece, expressed in tuples of syllables. The length of this tuple is determined by the *ngram_length* setting +* **syllable_set** is a list of the lyric ngrams (tuples) in this particular passage; the *length of this set* determines the kind of HR in the passage. For example, if *len(set(syllable_set))* = 1 then all the active voices are singing the same text; this value in turn determined the following column +* **count_lyr_ngrams** is the number of lyric ngrams in this particular passage, determined by *len(set(syllable_set))* +* **active_syll_voices** is the number of voices actively singing in this passage, since some parts might have rests (and thus no syllables) +* **voice_match** is a boolean value determined by the *count_lyr_ngrams*; should always be True for any HR results + +### Homorhythm Parameters + +Users can supply either of two arguments: + +* `ngram_length` (which is 4 by default, and determines the number of durations and syllables that must be in common among the voices in order to be marked as HR); + +* `full_hr` (which is True by default). When `full_hr = True` the method will find any passage where *all active voices* share the same durational ngram and syllables; if `full_hr = False` the method will find *any passage where even two voices share the same durational ngram and the same syllables*. + +### Typical Use of 'piece.homorhythm()` + + piece.homorhythm() + +Or + + piece.homorhythm(ngram_length = 4, full_hr = True) + +### Filtering Homorhythm Results: Voices, lists, and more + +As a first step it will necessary to `fillna()`: + +Note that it is probably a good idea to `fillna('')`: + + hr = piece.homorhythm(ngram_length = 4, full_hr = True).fillna('') + +**Search for Lyrics** + +If the plan is to search for a *particular word or words* in the lyric ngrams, it would be good to convert the *tuples of the *syllable_set* into *a string*. Note that in the updated results, all of the syllables will be run together as a single string. + + #run hr function and convert hr['syllable_set'] to string + hr = piece.homorhythm(ngram_length = 6, full_hr = True).fillna('') + hr['syllable_set'] = hr['syllable_set'].apply(lambda x: ''.join(map(str, x[0]))).copy() + + #supply the list of words. Capitalization matters! + chosen_words = ["Maria", "immacula"] + + #filter the hr results for rows that contain any of the given words + hr_with_chosen_words = hr[hr.apply(lambda x: hr['syllable_set'].str.contains('|'.join(chosen_words)))].dropna() + hr_with_chosen_words + + + + +**Search for Voices** + +And if the plan is to search for the presence of a particular voice in the hr results, then the *lists of voices* in the *hr_voices* column will need to be converted into strings, too: + + #run hr function and convert hr['syllable_set'] to string + hr = piece.homorhythm(ngram_length = 6, full_hr = True).fillna('') + hr["hr_voices"] = hr["hr_voices"].apply(lambda x: ', '.join(map(str, x))).copy() + + #supply names of voices. They must match the voice names in `piece.notes.columns()` + chosen_voices = ["Tenor", "Bassus"] + #filter the results for hr passages involving chosen voices: + hr_with_chosen_voices = hr[hr.apply(lambda x: hr['hr_voices'].str.contains('|'.join(chosen_voices)))].dropna() + hr_with_chosen_voices + + + + +## View Score Excerpts with Verovio + +It is also possible to display the results of `piece.homorhythm()` as score excerpts using Verovio. The excerpts vary in length. + +Note that sometimes the same measure is part of overlapping groups--more work is pending to solve this problem. + +The function also displays metadata about each excerpt: piece ID, composer, title, measures, and the minimum and maximum of voices in each passage moving in coordinated durations and syllables. + +To use the function, pass the piece, homorhythm data frame, url of the piece, and mei_file name (all loaded in the first part of this notebook) as follows: + + piece.verovioHomorhythm() + + + +The same parameters noted above can also be used here, then passed to the `verovioHomorhythm()` function for rendering: + + hr = piece.homorhythm(ngram_length = 4, full_hr = True) + piece.verovioHomorhythm(hr) + +And it is possible to pass a *filtered set of results* to `piece.verovioHomorhythm()`. For example, with chosen voices: + + #run hr function and convert hr['syllable_set'] to string + hr = piece.homorhythm(ngram_length = 6, full_hr = True).fillna('') + hr["hr_voices"] = hr["hr_voices"].apply(lambda x: ', '.join(map(str, x))).copy() + + #supply names of voices. They must match the voice names in `piece.notes.columns()` + chosen_voices = ["Tenor", "Bassus"] + #filter the results for hr passages involving chosen voices: + hr_with_chosen_voices = hr[hr.apply(lambda x: hr['hr_voices'].str.contains('|'.join(chosen_voices)))].dropna() + + #render just the hr_with_chosen_voices using `piece.verovioHomorhythm()`: + piece.verovioHomorhythm(hr_with_chosen_voices) + + + + + + + + +----- + +## Sections in this Guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics.md) + * [08_TimeSignatures_BeatStrength](08_TimeSignatures_BeatStrength.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) + * [12_Modules](12_Modules.md) \ No newline at end of file diff --git a/tutorial/08_TimeSignatures_Beat_Strength.md b/tutorial/08_TimeSignatures_Beat_Strength.md new file mode 100644 index 0000000..758fd91 --- /dev/null +++ b/tutorial/08_TimeSignatures_Beat_Strength.md @@ -0,0 +1,97 @@ +# Time Signatures, Measure Numbers, Barlines and Beat Strengths + +Several of these functions called as parameters `detailIndex()`. See more at [09_DetailIndex](09_DetailIndex.md). But they can be useful on their own, too. + +## View Time Signatures with `timeSignatures()` + +For any piece, it is possible to return a dataframe containing each new time signature and the offset at which it appears: + + piece.timeSignatures() + +There are no parameters to set with this function. But it can be called as a parameter from `detailIndex`: + + nr = piece.notes() + piece.detailIndex(nr, t_sig = True) + +## View Measure Numbers with `measures()` + +This method returns a dataframe with offsets as the index, and the measure number of each event (note, melodic interval, ngram) in the columns. Thus all columns will frequently be identical. + + piece.measures() + +It is not particularly useful on its own, but it might be helpful for situations in which it is important to return all the offsets that correspond to a given measure number. For example, here is a way to find all of the notes that sound at the start of each measure in a piece: + + #df of measures (that is, where each measure starts) + ms = piece.measures() + #index of that df as list + measure_starts = ms.index.to_list() + #df of notes and rests + nr = piece.notes() + #now filter nr to show only those offsets (=index) that are in the list just made + nr2 = nr[nr.index.isin(measure_starts)] + nr2 + +Or another way to do this with the `loc` method of Pandas: + + #df of measures (that is, where each starts) + ms = piece.measures() + #index of that df as list + measure_starts = ms.index.to_list() + #df of notes and rests + nr = piece.notes() + #filter nr to show only those offsets (=index) that are in the list just made + nr2 = nr.loc[nr.index.isin(measure_starts)] + nr2 + + +## View Barlines with `barlines()` + +This method returns a data frame showing the offsets at which double or final barlines appear in each voice. It does not report normal (single) barlines. As such it can be helpful in detecting section breaks in a work. Use it in conjunction with `detailIndex` to report measure numbers, too. + + barlines = piece.barlines() + piece.detailIndex(barlines) + + +## View Beat Strengths with `beatStrengths()` + +music21 has a built-in method that assigns a relative strength for each beat in a bar, depending on the prevailing time signature. The downbeat is equal to 1.0, and all other metric positions in a measure are given smaller numbers approaching zero as their metric weight decreases. To see the results in the context of measures and beats (in order to make sense of the ratings), pass the results of `beatStrengths()` to `detailIndex()` + + bs = piece.beatStrengths() + piece.detailIndex(bs) + +The resulting dataframe could also be used to filter other results, for instance, by finding all offsets (and voices) where a certain `beatStrength` condition is met. For instance, here is a way to filter for 'strong beats', the 'strong notes', the 'strong melodic intervals', and at last the 'ngrams based on strong intervals'. In brief, **structural tones**: + + #get the notes + nr = piece.notes() + #stack the voices on top of each other to make a series + nr_stacked = nr.stack() + #find the beat strengths + bs = piece.beatStrengths() + #stack and filter the beat strengths according to some threshold + strong_beats = bs.stack() > .75 + #filter the stacked notes and unstack + strong_notes = nr_stacked[strong_beats].unstack() + #find the melodic intervals among those 'strong' notes + mel_strong = piece.melodic(df = strong_notes, kind = 'd') + #and at last find the ngrams for those strong notes + strong_ngrams = piece.ngrams(df = mel_strong, n = 4, exclude = ['Rest']).fillna('') + strong_ngrams + +Results from the `beatStrengths` method should **not be sent to the `regularize` method**. Read more about `regularize` at [06_Durations](06_Durations.md). + + +----- + +## Sections in this guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics.md) + * [08_Time-Signatures](08_TimeSignatures.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) \ No newline at end of file diff --git a/tutorial/09_DetailIndex.md b/tutorial/09_DetailIndex.md new file mode 100644 index 0000000..0ac7d1e --- /dev/null +++ b/tutorial/09_DetailIndex.md @@ -0,0 +1,89 @@ +# Detail Index + + + +## Showing Measures and Beats: `detailIndex()` + +By default, CRIM Intervals dataframes display results according to the `offset` of each event, which appear as the **Index** for the given dataframe. Each increment of 1.0 corresponds to a single quarter note duration. Remember that the first offset will be 0.0, in accordance with Python series format. + +But it is easy to include information about measures and beats (as well as offsets)in any combination. This can be done with the help of the `detailIndex()` function (which can also be abbreviated as `di()`. + +To use `detailIndex`, simply pass the dataframe from any function (which will have a list of offsets as the Index) to `detailIndex()``. For instance: + + nr = piece.notes() + piece.detailIndex(nr) + +*or:* + + mel = piece.melodic() + piece.detailIndex(mel) + + + + + +Indeed, this method works with any dataframe (provided that it relates to a single piece already previously loaded, and provided that the passed dataframe has offsets as its index), and so it can be used to find the measure + beat reference for any subset of events that result from filtering or other algorithms. + + + +## Advanced Parameters for `detailIndex` + +This function also has a number of parameters that can be adjusted according to need: + + piece.detailIndex(df, measure = True, beat = True, offset = False, t_sig = False, sounding = False, progress = False, lowest = False, highest = False, _all = False) + +At least **one** of either `measure`, `beat`, or `offset` must be `True`. If more than one is `True`, the dataframe will have a multi-index. + +#### Showing Measures + +If `measure = True`, the dataframe includes **measure number** as an index column. + +#### Showing Beats + +If `beat = True`, the dataframe includes **beat number within the given measure** as an index column. + +#### Hiding Offsets + +`True` by default, if `offset = False` then the **offset will not be shown** in the dataframe. + +#### Showing Time Signatures + +If `t_sig = True`, the dataframe includes the **prevailing time signature** at each moment as an index column. + +#### Showing Number of Active Voices + +If `sounding = True` the dataframe includes an integer reporting the **total number of voices with a non-rest event** at this offset. + +#### Relative Position ("Progress") + +If `progress = True` the dataframe includes a decimal point (float) that reports the **relative position of the event in the piece** as whole (with the first note as `0.000000`) and the **onset** of the last note as `1.000000`. + +#### Lowest Sounding Tone + +If `lowest = True` the dataframe includes a column listing the **lowest-sounding tone** at each offset (or beat). + +#### Highest Sounding Tone + +If `highest = True` the dataframe includes a column listing the **highest-sounding tone** at each offset (or beat). + +#### Show All of the Above + +As the name suggests, this sets all parameters as `True`. + + + +----- + +## Sections in this guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics.md) + * [08_Time-Signatures](08_TimeSignatures.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) \ No newline at end of file diff --git a/tutorial/10_Cadences.md b/tutorial/10_Cadences.md new file mode 100644 index 0000000..e65fff3 --- /dev/null +++ b/tutorial/10_Cadences.md @@ -0,0 +1,260 @@ +# Cadences + +## The `piece.cadences()` Function in Brief + +CRIM Intervals includes a powerful tool that identifies cadences according to the combinations of two-voice modules that describe the typical contrapuntal motion between the various cadential voice functions (CVF) heard in Renaissance polyphony: cantizans and tenorizans, cantizans and altizans, etc. + +For a quick report, run: + + `piece.cadences()` + +The dataframe reported by `piece.cadences()` is quite detailed, but includes (most notably): + +* **Cadence Tone** (the goal pitch, determined by the final perfect sonority) +* **Cadence Type** (authentic, phrygian, and so on, according to the CRIM Controlled Vocabulary) +* **Modifications** (evaded, incomplete, etc) +* **Contextual Information** (the place and disposition of the cadence relative to the rest of the piece) +* *Much more!* (see below for details) + +The tool uses **modular ngrams** to identify conjunctions of these pairs in order to predict cadences of various kinds. But there are many combinations, especially once we consider that voices functions (or roles) can be displaced (as when the tenorizans role appears in the Superius part and the cantizans appears in the Tenor part), or through irregular motion, and even interrupted, as when a voice is suddenly silent. + +It is possible to check all of the **cadential voice functions (CVFs)** for a given piece below. But this tool also conveniently labels the cadences according to type, tone, evaded and also provides information about the relative place within the piece, the adjacent cadences, and many other features, too. + +Note: **Measure** and **Beat** columns are in the *body of the table*, not at the Index. + +## The Column Headings for `piece.cadences()` Output in Detail: + + + +* The **Key** column is the string used by the classifier to determine the label. "BC1" for instance, means "bassus, cantus, and one leading tone". Note that these letters appear in alphabetical order, not the order of the voices in the score. + +* The **CadType** is a high-level label: + + * **Clausula Vera** is for cadences involving only Cantizans and Tenorizans; + * **Authentic** is for Cantizans and Bassizans (and possibly the Tenorizans, too). + * **Phrygian Clausula Vera** is like Clausula Vera but with the half-step motion in the downward-moving (Tenorizans) part. Phrygian corresponds to Authentic, except that the Bassizans of course moves up a fifth or down a fourth, as is normally the case when the Tenorizans descends by half = step. + * **Altizans Only** is in cases where the Cantizans is missing and the Altizans role moves to a fifth above the lowest voice. + + *See `print(piece.cvfs.__doc__)` for other labels. + * +* **Leading Tones** is the count of leading tones motions +* **CVFs** are the Cadential Voice Functions, and are listed in order from top to bottom as they appear in the score. See print(importedPiece.cvfs.__doc__) for details. +* The **Low** and **Tone** columns give the pitches of the lowest sounding pitch (in any voice) at the perfection, and the goal tone of the cantizans (or altizans if there is no cantizans) respectively. +* **RelLow** is the lowest pitch of each cadence shown as an interval measured against the last pitch in the Low column. +* Likewise, **RelTone** is the cadential tone shown as an interval measured against the last pitch in the Tone column. +* The **SinceLast** and **ToNext** columns are the time in quarter notes since the last or to the next cadence. +* The **Progress** column is a relative indication of position in the piece. `0` is the beginning of the piece; `1.0` is the end of the piece. +* **Sounding** is the number of voices heard at the end of the cadence. + + +Read more via the documentation: `print(piece.cadences.__doc__)` and especially `print(piece.cvfs.doc)` for the voice labels. + +View the **Cadential Voice Function** and **Cadence Label** tables [here](https://github.com/HCDigitalScholarship/intervals/tree/main/intervals/data/cadences/). These can easily be updated with revised or new cadence types. + +## The Cadential Voice Functions Explained + + + + + +**Realized Cadential Voice Functions:** + +* "C": cantizans motion up a step (can also be ornamented e.g. Landini) +* "T": tenorizans motion down a step (can be ornamented with anticipations) +* "B": bassizans motion up a fourth or down a fifth +* "A": altizans motion, similar to cantizans, but cadences to a fifth above a tenorizans instead of an octav*e +* "L": leaping contratenor motion up an octave at the perfection +* "P": plagal bassizans motion up a fifth or down a fourth +* "Q": quintizans, like a tenorizans, but resolves down by fifth or up by fourth to a fourth below the goal tone of a cantizans or an octave below the goal tone of an altizans +* "S": sestizans, occurring in some thicker 16th century textures, this is where the agent against the cantizans is already the cantizans' note of resolution (often results in a simultaneous false relation); the melodic motion is down by third at the moment of perfection* + +**Evaded Cadential Voice Functions:** + +* "c": evaded cantizans when it moves to an unexpected note at the perfection +* "t": evaded tenorizans when it goes up by step at the perfection +* "b": evaded bassizans when it goes up by step at the perfection +* "u": evaded bassizans when it goes down by third at the perfection (there are no evaded labels for the altizans, plagal bassizans leaping contratenor CVFs) +* "s": evaded sestizans when it resolves down by second + +**Abandoned Cadential Voice Functions:** + +* "x": evaded bassizans motion where the voice drops out at the perfection +* "y": evaded cantizans motion where the voice drops out at the perfection +* "z": evaded tenorizans motion where the voice drops out at the perfection + +The way these CVFs combine determines which cadence labels are assigned +in the `.cadences()` method. + +## Show the Cadential Voice Function Keys: the `keep_keys` Parameter + +There is only one parameter for the `cadences()` function: `keep_keys`. If `keep_keys` is set to True, the ngrams that triggered each CVF pair will be shown in additional columns in the table. `keep_keys` is False by default. + + `piece.cadences(keep_keys = True)` + +## Cadences in a Corpus + +The basic methods of building and working with a corpus are explained in [01_Introduction](01_Introduction.md). + +In brief, to find cadences in a corpus and report the results as a single dataframe: + + #build corpus + corpus = CorpusBase(['https://crimproject.org/mei/CRIM_Mass_0014_3.mei', + 'https://crimproject.org/mei/CRIM_Model_0009.mei']) + #select function. remember to omit "()" + func = ImportedPiece.cadences + #run function on each piece; be sure to include keyword arguments + list_of_dfs = corpus.batch(func = func, kwargs = {'keep_keys': True}, metadata = True) + #concatenate the resulting dataframes into one + corpus_cadences = pd.concat(list_of_dfs, ignore_index = False) + # new order for columns: + col_list = ['Composer', 'Title', 'Measure', 'Beat', 'Pattern', 'Key', 'CadType', 'Tone','CVFs', + 'LeadingTones', 'Sounding', 'Low','RelLow','RelTone', + 'Progress','SinceLast','ToNext'] + corpus_cadences = corpus_cadences[col_list] + + +## Summarizing and Grouping Cadence Results + +**A quick way to reorganize the columns in the output:** + + cadences = piece.cadences(keep_keys = True) + col_list = ['Measure', 'Beat', 'CadType', 'Pattern', 'Key', 'Tone','LeadingTones', 'CVFs', 'Low','RelLow','RelTone', 'Sounding', 'Progress','SinceLast','ToNext'] + cadences = cadences[col_list] + cadences + +** Group the Cadences by Tone and Type** + + cadences = piece.cadences() + cadences.groupby(['Tone', 'CadType', 'CVFs']).size().reset_index(name = 'counts') + + + +## Cadence Results in Score with `verovioprintCadences` + +The simplest way to show cadences with Verovio: + + piece.verovioCadences() + +Or send a filtered list of cadences for printing. Create the cadence table, filter it in some way, and the pass those results to `verovioCadences()`: + + cadences = piece.cadences() + cadences_filtered = cadences[cadences['Tone'] == 'G'] + piece.verovioCadences(cadences_filtered) + +Note that pink warning messages in the output can be ignored! + + +[ ] + +## Cadence Radar Plots for One or Many Pieces: `piece.cadenceRadarPlot()` and `corpus.compareCadenceRadarPlots()` + +Radar plots a good way to provide insights about the tonal 'footprint' of one or more pieces. Information derived from the `piece.cadences()` is ploted as a circular graph: cadence tones (and types, depending on the settings) are indicated at the perimeter. The count of cadences of each tone (or type) is then used as a scalar value (0 is the very center of the plot, with increasing numbers moving out from the center to indicate relative count and therefore weight). + +The plots are interactive: + +* Hover to see count details for single piece plots +* Click to include/exclude individual pieces in corpus comparison plots + +### Radar Plot Parameters In Brief + +#### For One Piece +Parameters Overview: + +- **combinedType**: if set to True, the Cadences would be classified based on both their Type and Tone. If set to False, only Tone will be used. False by default +- **sounding**: specify how many voices are sounding (optional). Takes an integer input. Set to None by default +- **displayAll**: if set to True, the chart will display all pitches in the Default (Fifth) or Custom order +- **customOrder**: the custom order parameter. Takes in a List of Strings (see below) +- **renderer**: specify what renderer to be used for the plot (options include but are not limited to "svg", "iframe", "png", "notebook" etc) + +Typical use: + + cadenceRadarPlot(combinedType = False, displayAll = True, renderer = "iframe") + +Default display order (could be modified for `customOrder`) + + order_array = ["D", "A", "E", "B", "F#", "Db", "Ab", "Eb", "Bb", "F", "C", "G"] + +Complete function with default settings: + + piece.cadenceRadarPlot(combinedType = False, sounding = None, displayAll = True, customOrder = None, renderer = "iframe") + +#### For A Corpus of Pieces + +Parameters Overview: + +- **combinedType**: if set to True, the Cadences would be classified based on both their Type and Tone. If set to False, only Tone will be used. False by default +- **sounding**: specify how many voices are sounding (optional). Takes an integer input. Set to None by default +- **displayAll**: if set to True, the chart will display all pitches in the Default (Fifth) or Custom order +- **customOrder**: the custom order parameter. Takes in a List of Strings +- **renderer**: specify what renderer to be used for the plot (options include but are not limited to "svg", "iframe", "png", "notebook" etc + +Typical use: + + compareCadenceRadarPlots(combinedType = False, displayAll = True, renderer = "iframe") + +Complete default function code: + + compareCadenceRadarPlots(self, combinedType = False, sounding = None, displayAll = True, customOrder = None, renderer = "iframe") + +Default display order (could be modified for `customOrder`) + + order_array = ["D", "A", "E", "B", "F#", "Db", "Ab", "Eb", "Bb", "F", "C", "G"] + +## Cadence Progress Plots for One or Many Pieces: `piece.cadenceProgressPlot()` and `corpus.compareCadenceProgressPlots()` + + +#### For One Piece +Parameters Overview: + +- **includeType**: if set to True, the Cadence markers would be set based on both their Type. If set to False, a universal (round) marker will be used +- **cadTone**: specify the Tone of cadences to explore. Takes an String input. Set to None by default +- **cadType**: specify the Type of cadences to explore. Takes an String input. Set to None by default +- **customOrder**: specify a custom order to be used for the plot, as a dictionary: e.g. {"A":0, "B":1 ...} +- **includeLegend**: flag to display legend; Default set to True +- **renderer**: specify what renderer to be used for the plot (options include but are not limited to "svg", "iframe", "png", "notebook" etc) + + +Typical use: + + cadenceProgressPlot(includeType = True) + +Complete function with defaults: + + cadenceProgressPlot(self, includeType = False, cadTone = None, cadType = None, customOrder = None, includeLegend = True, renderer = "") + +#### For A Corpus of Pieces + +Parameters Overview: + +- **includeType**: if set to True, the Cadence markers would be set based on both their Type. If set to False, a universal (round) marker will be used +- **cadTone**: specify the Tone of cadences to explore. Takes an String input. Set to None by default +- **cadType**: specify the Type of cadences to explore. Takes an String input. Set to None by default +- **customOrder**: specify a custom order to be used for the plot (a dictionary: e.g. {"A":0, "B":1 ...} +- **includeLegend**: flag to display legend; Default set to True + +Typical use: + + compareCadenceProgressPlots(includeType = True) + +Complete function with defaults: + + compareCadenceProgressPlots(self, includeType = False, cadTone = None, cadType = None, includeLegend = True, customOrder = None, renderer = "") + +Default order dictionary (could be modified for `customOrder`) + + order_dict = {"Eb":0, "Bb":1, "F":2, "C":3, "G":4, "D":5, "A":6, "E":7, "B":8, "F#":9, "C#":10, "Ab":11} +----- + +## Sections in this guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics.md) + * [08_Time-Signatures](08_TimeSignatures.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) diff --git a/tutorial/11_Pandas.md b/tutorial/11_Pandas.md new file mode 100644 index 0000000..35827bf --- /dev/null +++ b/tutorial/11_Pandas.md @@ -0,0 +1,198 @@ +# Pandas + +Pandas is a Python library which allows for the creation and manipulation of DataFrames, which are two dimensional objects designed to store data. Below are a few of the many ways in which pandas DataFrames can be modified, filtered, or transformed. + +## Counting and Sorting Intervals: General Pandas Operations + +The outputs of the `notes()`, `melodic()`, and `harmonic()` functions are all in the format of a pandas DataFrame. Therefore, they can each be manipulated by the functions built into pandas for this purpose. A cheat sheet of pandas DataFrame operations can be [found here](https://pandas.pydata.org/Pandas_Cheat_Sheet.pdf). For the following examples, we can assume that some piece has been imported, and define a variable "mel" as the melodic intervals DataFrame for that piece: + + mel = piece.melodic() + +### Working with Rows + +Dataframes can be **long**, since they will have a row for every event in the composition (beats and subbeats alike). By default Pandas displays dataframes in an abbreviated view consisting of the first five and last five rows. The last row will be included, so it is easy to see just how long the results are! + +But it is possible to show various slices and segments (see the cheatsheet linked above for many examples), such as: + + piece.notes().head(20) + piece.notes().tail(20) + piece.notes().sample(20) + +`df.loc[]` and `df.iloc[]` have two different meanings! The first of these selects some range of *specific index values* (`df.loc[10:20]` would in this case return a slice of the frame 'df' where the actual offsets are between 10 (inclusive) and 20 (exclusive). + + nr = piece.notes() + nr.loc[10:20] + +On the other hand, the `iloc[]` method with Pandas will select the rows according to their *position in the index* rather than the index values. So this would report the 10th until the 19th row of the frame for notes and rests: + + nr = piece.notes() + nr.iloc[10:20] + +#### Examples from CRIM Intervals: Filter df of Notes according to Measure or Beat Strength + +The `piece.measures()` function returns a df that shows were each new measure begins. The index of this df is saved as a list, which in turn is tested against the index of the df for notes to produce a Boolean series: `nr.index.isin(measure_starts)`. This Boolean is then passed to nr.loc to yield the final dataframe: `nr2 = nr.loc[nr.index.isin(measure_starts)]`. + + #df of measures (that is, where each starts) + ms = piece.measures() + #index of that df as list + measure_starts = ms.index.to_list() + #df of notes and rests + nr = piece.notes() + #filter nr to show only those offsets (=index) that are in the list just made + notes_at_start_of_measures = nr.loc[nr.index.isin(measure_starts)] + notes_at_start_of_measures + +### Working With Columns + + +#### Show Column Names + +A list of the columns could be useful as a way to list the voice parts in a composition: + + voices = piece.notes().columns.to_list() + voices + #output as follows + ['Superius', 'Contratenor', 'PrimusTenor', 'SecundusTenor', 'Bassus'] + + +#### Rename Columns +Perhaps in turn it might be necessary to rename some or all of the columns. This could be done by passing a Python 'dictionary' in which the old and new voice (column) names are given as `key : value` pairs inside curved braces, separated by commas: `{old_col_1_name : new_col_1_name, old_col_2_name : new_col_2_name }`. It is only necessary to provide dictionaries for the columns to be renamed; the others can be left out. For instance: + + mel.rename(columns = {'Superius':'Soprano', 'Contratenor':'Alto'}) + + +#### Selected Columns in New Dataframe + +**By Name with `loc` Method** + +Image that only the "PrimusTenor" and "SecundusTenor" are needed in a new dataframe. These can be selected with `loc` by name: + + nr = piece.notes() + nr2 = nr.loc[:, ['PrimusTenor', 'SecundusTenor']] + +Note that the information about the columns to select appears to the right of the comma. In this case the `:` to the left of the column means that *all rows* are returned. But these could be specified, too, as shown above. + +**By Position with `iloc` Method** + +It is also possible to select columns on the basis of their *position* in the dataframe (the first is '0', the last is '-1'). To return just the top and bottom voices (Superius and Bassus from the list above), use the `iloc` function: + + nr = piece.notes() + nr2 = nr.iloc[:, [0, -1]] + +Note that `iloc` method allows selection of either rows or columns (or both). + +Note that the information about the columns to select appears to the right of the comma. In this case the `:` to the left of the column means that *all rows* are returned. But these could be specified, too, as shown above. + +Pandas provides several other ways to rename, select or reorganize columns. See the cheat sheet above. + +### Counting and Sorting + +#### Counting Notes +A count of the *rows* of the dataframe will be in effect a count of the number of offsets. Pass the entire function to the Python `len` method, for instance: + + len(piece.notes()) + +But it is also possible to count the number of **notes** in each voice (column): + + nr = piece.notes() + nr.count() + #output as follows: + Superius 388 + Contratenor 448 + PrimusTenor 373 + SecundusTenor 377 + Bassus 337 + +Or `stack()` all the columns on top of each other, then report the **total number of unique values** (that is, a count of the unique pitches): + + nr.stack().nunique() + + +#### Sorting Notes + +Count the notes in each voice part, then *sort the df alphabetically by note* (which is the index in this case. Since music21 names the notes by pitch class and octave, the result is a table from low to high of all the tones in the piece: + + nr.apply(pd.Series.value_counts).fillna(0).astype(int) + +Or sorted by the *counts in a particular voice* (here the NA's are filled with 0 [zero]. To select a different column, change `nr.columns[0]` to a different number. To sort them in descending order, try `ascending = True`. + + nr.apply(pd.Series.value_counts).fillna(0).astype(int).sort_values(by = nr.columns[0], ascending = False) + +But it is also possible to *declare a sort order for the pitches* , then organize the entire data frame in that sequence. This will show the voice ranges of each part. + +First, create a list of the pitches in order (from low to high, in this case). Note that music21 (and thus CRIM Intervals) represents B-flat as `B-`. C-sharp is `C#`. + + pitch_order = ['E-2', 'E2', 'F2', 'F#2', 'G2', 'A2', 'B-2', 'B2', + 'C3', 'C#3', 'D3', 'E-3','E3', 'F3', 'F#3', 'G3', 'G#3','A3', 'B-3','B3', + 'C4', 'C#4','D4', 'E-4', 'E4', 'F4', 'F#4','G4', 'A4', 'B-4', 'B4', + 'C5', 'C#5','D5', 'E-5','E5', 'F5', 'F#5', 'G5', 'A5', 'B-5', 'B5'] + +Then, create a dataframe corresponding to our piece, and sort it by pitches, as shown: + + #find notes, fill NA's + df = piece.notes().fillna('-') + #count the values, fill NA's and make a copy for safety + df = nr.apply(pd.Series.value_counts).fillna(0).astype(int).reset_index().copy() + #rename the index as 'pitch' + df.rename(columns = {'index':'pitch'}, inplace = True) + #assign the order from pitch_order above + df['pitch'] = pd.Categorial(df["pitch"], categories = pitch_order) + #sort values, drop NA's, and copy + df = df.sort_values(by = "pitch").dropna().copy() + #display results as df + df + + +#### Counting Melodic Intervals + +The same approach could be applied to melodic intervals. The count of melodic intervals: + + len(piece.melodic()) + +Melodic intervals in each voice: + + mel = piece.melodic() + mel.count() + +And so on, as above. Remember that it is also possible to specify various parameters for the `melodic()` function, thus reporting different kinds of intervals, qualities, and so on. + +#### Sorting Melodic Intervals + +Similar to the note order created above, first define an order of intervals as follows: + + int_order = ["P1", "m2", "M2", "m3", "M3", "P4", "P5", "m6", "M6", "m7", "M7", "P8", "-m2", "-M2", "-m3", "-M3", "-P4", "-P5", "-m6", "-M6", "-m7", "-M7", "-P8"] + +This `int_order` can now be used to sort the intervals from smallest to largest, ascending to descending: + + #df of melodic intervals, NA's filled + mel = piece.melodic().fillna("-") + #counting the intervals, NA's filled as 0, and copy the df to avoid problems + mel = mel.apply(pd.Series.value_counts).fillna(0).astype(int).reset_index().copy() + #rename the index as 'interval' + mel.rename(columns = {'index':'interval'}, inplace = True) + #map each interval to the order specified in the "int_order" list above + mel['interval'] = pd.Categorical(mel["interval"], categories = int_order) + #sort the results, remove NA's, and make a copy to avoid problems + mel = mel.sort_values(by = "interval").dropna().copy() + #reset the index and display + mel.reset_index() + + + + + +----- + +## Sections in this guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics.md) + * [08_Time-Signatures](08_TimeSignatures.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) \ No newline at end of file diff --git a/tutorial/12_Modules.md b/tutorial/12_Modules.md new file mode 100644 index 0000000..5e55532 --- /dev/null +++ b/tutorial/12_Modules.md @@ -0,0 +1,19 @@ +# Modules + +[ ] + +----- + +## Sections in this guide + + * [01_Introduction](01_Introduction.md) + * [02_NotesAndRests](02_NotesAndRests.md) + * [03_MelodicIntervals](03_MelodicIntervals.md) + * [04_HarmonicIntervals](04_HarmonicIntervals.md) + * [05_Ngrams](05_Ngrams.md) + * [06_Durations](06_Durations.md) + * [07_Lyrics](07_Lyrics.md) + * [08_Time-Signatures](08_TimeSignatures.md) + * [09_DetailIndex](09_DetailIndex.md) + * [10_Cadences](10_Cadences.md) + * [11_Pandas](11_Pandas.md) \ No newline at end of file diff --git a/tutorial/13_Visualizations.md b/tutorial/13_Visualizations.md new file mode 100644 index 0000000..e651e02 --- /dev/null +++ b/tutorial/13_Visualizations.md @@ -0,0 +1,86 @@ +# Visualizations with CRIM Intervals + +Various Python libraries exist to help create graphs and charts. To date (as of 2023) the CRIM Intervals team has developed tools for: + +* **Histograms** (to show distribution or ranges of notes and melodic intervals, for example) +* **Ngram Heat Maps** (to show distribution of ngrams across a composition) +* **Melodic Families** (plots that show melodies as a branching series of intervallic steps) +* **Cadence Radar Plots** (circular grids that show the distribution of cadences in one or more pieces) + +Note that some of these are built in to CRIM Intervals, and called with a simple function. Others are built up in a series of steps, as shown in the samples below. + +All of following examples work in Jupyter Notebooks with CRIM Intervals. Some will work in VS Code or similar environments with some modfication. + +### Histograms + +#### Histogram of Notes + +Below is an example of how to use Matplot to create a histogram of the of how many times each pitch is heard in each voice of the given piece. + +Note that this will only work in a Jupyter Notebook: + + pitch_order = ['E-2', 'E2', 'F2', 'F#2', 'G2', 'A2', 'B-2', 'B2', + 'C3', 'C#3', 'D3', 'E-3','E3', 'F3', 'F#3', 'G3', 'G#3','A3', 'B-3','B3', + 'C4', 'C#4','D4', 'E-4', 'E4', 'F4', 'F#4','G4', 'A4', 'B-4', 'B4', + 'C5', 'C#5','D5', 'E-5','E5', 'F5', 'F#5', 'G5', 'A5', 'B-5', 'B5'] + %matplotlib inline + nr = piece.notes().fillna('-') + nr = nr.apply(pd.Series.value_counts).fillna(0).astype(int).reset_index().copy() + nr.rename(columns = {'index':'pitch'}, inplace = True) + nr['pitch'] = pd.Categorical(nr["pitch"], categories = pitch_order) + nr = nr.sort_values(by = "pitch").dropna().copy() + voices = nr.columns.to_list() + palette = sns.husl_palette(len(voices), l = .4) + md = piece.metadata + for key, value in md.items(): + print(key, ':', value) + sns.set(rc = {'figure.figsize':(15,9)}) + nr.set_index('pitch').plot(kind = 'bar', stacked = True) + +**Sample Output** + +![Alt text](images/vis_1.png.png) + +#### Histogram of Intervals + +Or use the Matplot library to create a chart of the frequence of interval usage: + + %matplotlib inline + int_order = ["P1", "m2", "-m2", "M2", "-M2", "m3", "-m3", "M3", "-M3", "P4", "-P4", "P5", "-P5", "m6", "-m6", "M6", "-M6", "m7", "-m7", "M7", "-M7", "P8", "-P8"] + mel = piece.melodic() + mel = mel.fillna("-") + #count up the values in each item column--sum for each pitch. + #make a copy + mel = mel.apply(pd.Series.value_counts).fillna(0).astype(int).reset_index().copy() + #rename the index column to something more useful + mel.rename(columns = {'index':'interval'}, inplace = True) + #apply the categorical list and sort + mel['interval'] = pd.Categorical(mel["interval"], categories = int_order) + mel = mel.sort_values(by = "interval").dropna().copy() + voices = mel.columns.to_list() + #collect and print information about composer and piece + md = piece.metadata + for key, value in md.items(): + print(key, ':', value) + #set the figure size, type and colors + palette = sns.husl_palette(len(voices), l = .4) + sns.set(rc = {'figure.figsize':(15,9)}) + mel.set_index('interval').plot(kind = 'bar', stacked = True) + + +**Sample Output** + +![Alt text](images/vis_2.png.png) + + +#### NGram Heat Maps + + + +#### Melody Families + + +#### Cadence Radar Plots + + + diff --git a/tutorial/images/_notes_3.png b/tutorial/images/_notes_3.png new file mode 100644 index 0000000000000000000000000000000000000000..25ae7f7ad74e57bf40b430f6f5aa617e18218385 GIT binary patch literal 116021 zcmd42WmKF&(gulQs;fek6{XOSiIJh8pwMKb#Z{r8VB4XfV16SZKz^g=LR1X} zV4N%8 zl~lS^<{EaD`B1dD%q%)=lT3>fG-11}G>>>^-1p9sIlBaz49D3#T?G1TD|2! z?PB}$)%=s7=9@&ni|Ws}fB&>2?g&3hB<`Y5MBDAA>Cqkb@R-bD)=wtr 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