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SCALES

Major C D E F G A B C 2 2 1 2 2 2 1

Minor (Natural) C D Eb F G Ab Bb C 2 1 2 2 1 2 2

Minor (Harmonic) C D Eb F G Ab B C 2 1 1 2 1 3 1

Minor (Melodic) C D Eb F G A B C 2 1 2 2 2 2 1

If I played this key F#

I know that it's: 1st on F# all 2nd on E all 3rd on D major 3rd on D# minorAll 4th on C# all 5th on B all 6th on A major, A minorMel 6th on A# minorNat and minorHmo 7th on G major, minorHmo and minorMel 7th on G# major, minorNat

so there are 28 scales that could work with one note

CHORDS

CDEFG A B 13568 10 12 semitones notation keys Cmajor 1 5 8 i iii v C E G (diff) 4 3 2 2 2 2 mj3 mn3 semitones notation keys Cmaj7 1 5 8 12 i iii v vii C E G B (diff) 4 3 4 2 2 2 2 2 2 mj3 mn3 mj3

Cmaj7 inv 1 5 8 12 1 iii v vii i E G B C (diff) 3 4 1 2 3 2 2 2 1 mn3 mj3 mn2 (or Emin aug 5 if it exists)

if you play a minor on top of a major, you get a seventh? cadences play some chords in an order, like punct in a sentence playful cadence 4 -> 1

vertical vs horizontal harmony sounds good together sounds good after

markov chain state machines for cadence ideas like coop racing games

Cmaj7 inv 2 8 12 1 5 iii v vii i E G B C (diff) 4 1 4 2 3 2 2 2 1 mn3 mj3 mn2

Cmaj7 inv 3 12 1 5 8 iii v vii i E G B C (diff) 1 4 3 2 3 2 2 2 1 mn3 mj3 mn2

Cmajor inv 1 5 8 1 iii v i E G C (diff) 3 5 2 3 2 3 mn3 pf4

Cmajor inv 2 8 1 5 v iii i G C E (diff) 5 4 3 2 3 2 pf4 mj3

Cminor 1 4 8 i iiim v C Eb G (diff) 3 4 2- 2+ 2- 2+ mn3 mj3

Cminor inv 1 4 8 1 iiim v i Eb G C (diff) 4 5 2+ 3 2+ 3 mn3 pf4

Cminor inv 2 8 1 4 v i iiim G C Eb (diff) 5 3 3 2- 3 2- pf4 mn3

Relationships 4 3 -> Major 3 5 -> Major inv 1 5 4 -> Major inv 2 3 4 -> Minor 4 5 -> Minor inv 1 5 3 -> Minor inv 2

              half notes     notation         keys

Gmajor 8 12 3 i iii v G B D (-7 then % 12) 1 5 8
(diff) 4 3 2 2 2 2

Gmajor inv 1 12 3 8 iii v i B D G (-7 then % 12) 5 8 1 (diff) 3 5 2 3 2 3

Gmajor inv 2 = 3 12 8 v iii i D G B (-7 then % 12) 8 5 1 (diff) 5 4 3 2 3 2

so for any chords not Cmajor, subtract the number with (root position - 1), then mod by 12