Heptatonic Alterations

For an explanation, see Granular Modulations.

One Alteration
From	To	Alteration
Major	I Harmonic Major	b6
	I Melodic Minor	b3
	II Melodic Minor	#1
	IV Major	b7
	V Major	#4
	VI Harmonic Minor	#5
Melodic Minor	I Harmonic Minor	b6
	I Major	#3
	V Harmonic Major	#4
	bVII Major	b7
Harmonic Major	I Harmonic Minor	b3
	I Major	#6
	IV Melodic Minor	b7
Harmonic Minor	I Harmonic Major	#3
	I Melodic Minor	#6
	III Major	b7

Two Alterations
From	To	Alterations
Major	I Harmonic Minor	b3, b6
	II Harmonic Minor	#1, b7
	II Major	#1, #4
	III Harmonic Minor	#2, #4
	IV Harmonic Major	b2, b7
	IV Melodic Minor	b6, b7
	V Harmonic Major	b3, #4
	V Melodic Minor	#4, b7
	VI Harmonic Major	#1, #5
	VI Melodic Minor	#4, #5
	bVII Major	b3, b7
Melodic Minor	I Harmonic Major	#3, b6
	II Melodic Minor	#1, #3
	III Major	b6, b7
	IV Major	#3, b7
	V Harmonic Minor	#4, b7
	V Major	#3, #4
	VI Harmonic Minor	#3, #5
	bVII Harmonic Major	b5, b7
	bVII Melodic Minor	b2, b7
Harmonic Major	I Melodic Minor	b3, #6
	II Melodic Minor	#1, #6
	bIII Major	b3, b7
	IV Harmonic Minor	b2, b7
	IV Major	#6, b7
	V Major	#4, #6
	#VI Harmonic Minor	#5, #6
Harmonic Minor	I Major	#3, #6
	III Harmonic Major	b1, b7
	III Melodic Minor	b5, b7
	IV Melodic Minor	#3, b7
	V Harmonic Major	#4, #6
	VI Major	b2, b7
	bVII Major	#6, b7

Three Alterations
From	To	Alterations
Major	II Harmonic Major	#1, #4, b7
	bIII Major	b3, b6, b7
	III Harmonic Major	#2, #4, #5
	III Melodic Minor	#1, #2, #4
	IV Harmonic Minor	b2, b6, b7
	V Harmonic Minor	b3, #4, b7
	VI Major	#1, #4, #5
	bVII Harmonic Major	b3, b5, b7
	bVII Melodic Minor	b2, b3, b7
	VII Harmonic Minor	#1, #4, #6
Melodic Minor	II Harmonic Minor	#1, #3, b7
	II Major	#1, #3, #4
	III Harmonic Major	b1, b6, b7
	III Melodic Minor	b5, b6, b7
	#III Harmonic Minor	#2, #3, #4
	IV Harmonic Major	b2, #3, b7
	IV Melodic Minor	#3, b6, b7
	V Melodic Minor	#3, #4, b7
	bVI Major	b2, b6, b7
	VI Harmonic Major	#1, #3, #5
	VI Melodic Minor	#3, #4, #5
	bVII Harmonic Minor	b2, b5, b7
Harmonic Major	II Harmonic Minor	#1, #6, b7
	II Major	#1, #4, #6
	bIII Harmonic Major	b1, b3, b7
	bIII Melodic Minor	b3, b5, b7
	III Harmonic Minor	#2, #4, #6
	IV Harmonic Major	b2, #6, b7
	V Harmonic Major	b3, #4, #6
	V Melodic Minor	#4, #6, b7
	VI Major	b2, b3, b7
	#VI Harmonic Major	#1, #5, #6
	#VI Melodic Minor	#4, #5, #6
	bVII Major	b3, #6, b7
	VII Harmonic Minor	#1, #4, ##6
Harmonic Minor	bII Harmonic Major	b2, b5, bb7
	bII Major	b2, b5, b7
	II Melodic Minor	#1, #3, #6
	III Harmonic Minor	b1, b5, b7
	IV Harmonic Minor	b2, #3, b7
	IV Major	#3, #6, b7
	V Harmonic Minor	#4, #6, b7
	V Major	#3, #4, #6
	VI Harmonic Major	b2, b4, b7
	VI Melodic Minor	b1, b2, b7
	#VI Harmonic Minor	#3, #5, #6
	bVII Harmonic Major	b5, #6, b7
	bVII Melodic Minor	b2, #6, b7

Four Alterations
From	To	Alterations
Major	bIII Harmonic Major	b1, b3, b6, b7
	bIII Melodic Minor	b3, b5, b6, b7
	III Major	#1, #2, #4, #5
	#IV Harmonic Minor	#1, #3, #4, #5
	bVI Major	b2, b3, b6, b7
	bVII Harmonic Minor	b2, b3, b5, b7
	VII Harmonic Major	#1, #2, #4, #6
	VII Melodic Minor	#1, #4, #5, #6
Melodic Minor	bII Harmonic Major	b2, b5, b6, bb7
	bII Major	b2, b5, b6, b7
	II Harmonic Major	#1, #3, #4, b7
	III Harmonic Minor	b1, b5, b6, b7
	#III Harmonic Major	#2, #3, #4, #5
	#III Melodic Minor	#1, #2, #3, #4
	IV Harmonic Minor	b2, #3, b6, b7
	#IV Harmonic Minor	#1, ##3, #4, #5
	bVI Harmonic Major	b2, b4, b6, b7
	bVI Melodic Minor	b1, b2, b6, b7
	VI Major	#1, #3, #4, #5
	VII Harmonic Minor	#1, #3, #4, #6
Harmonic Major	bII Harmonic Major	b2, b3, b5, bb7
	bII Major	b2, b3, b5, b7
	II Harmonic Major	#1, #4, #6, b7
	bIII Harmonic Minor	b1, b3, b5, b7
	III Harmonic Major	#2, #4, #5, #6
	III Melodic Minor	#1, #2, #4, #6
	V Harmonic Minor	b3, #4, #6, b7
	VI Harmonic Major	b2, b3, b4, b7
	VI Melodic Minor	b1, b2, b3, b7
	#VI Major	#1, #4, #5, #6
	bVII Harmonic Major	b3, b5, #6, b7
	bVII Melodic Minor	b2, b3, #6, b7
	VII Harmonic Major	#1, #2, #4, ##6
	VII Melodic Minor	#1, #4, #5, ##6
Harmonic Minor	bII Harmonic Minor	b2, b4, b5, bb7
	bII Melodic Minor	b2, b4, b5, b7
	II Harmonic Minor	#1, #3, #6, b7
	II Major	#1, #3, #4, #6
	#III Harmonic Minor	#2, #3, #4, #6
	IV Harmonic Major	b2, #3, #6, b7
	bV Major	b1, b2, b5, b7
	bV Melodic Minor	b1, b2, b5, bb7
	V Melodic Minor	#3, #4, #6, b7
	VI Harmonic Minor	b1, b2, b4, b7
	#VI Harmonic Major	#1, #3, #5, #6
	#VI Melodic Minor	#3, #4, #5, #6
	bVII Harmonic Minor	b2, b5, #6, b7
	VII Harmonic Minor	#1, #3, #4, ##6

Five Alterations
From	To	Alterations
Major	#I Harmonic Minor	#1, #2, #4, #5, #7
	bII Harmonic Major	b2, b3, b5, b6, bb7
	bII Major	b2, b3, b5, b6, b7
	bIII Harmonic Minor	b1, b3, b5, b6, b7
	#IV Harmonic Major	#1, #3, #4, #5, #6
	#IV Melodic Minor	#1, #2, #3, #4, #5
	#V Harmonic Minor	#1, #2, ##4, #5, #6
	bVI Harmonic Major	b2, b3, b4, b6, b7
	bVI Melodic Minor	b1, b2, b3, b6, b7
	VII Major	#1, #2, #4, #5, #6
Melodic Minor	bII Harmonic Minor	b2, b4, b5, b6, bb7
	bII Melodic Minor	b2, b4, b5, b6, b7
	#III Major	#1, #2, #3, #4, #5
	#IV Harmonic Major	#1, ##3, #4, #5, #6
	#IV Melodic Minor	#1, #2, ##3, #4, #5
	bV Major	b1, b2, b5, b6, b7
	bV Melodic Minor	b1, b2, b5, b6, bb7
	bVI Harmonic Minor	b1, b2, b4, b6, b7
	VII Harmonic Major	#1, #2, #3, #4, #6
	VII Melodic Minor	#1, #3, #4, #5, #6
Harmonic Major	bII Harmonic Minor	b2, b3, b4, b5, bb7
	bII Melodic Minor	b2, b3, b4, b5, b7
	III Major	#1, #2, #4, #5, #6
	#IV Harmonic Major	#1, #3, #4, #5, ##6
	#IV Harmonic Minor	#1, #3, #4, #5, #6
	bV Harmonic Major	b1, b2, bb3, b5, b7
	bV Harmonic Minor	b1, b2, bb3, b5, bb7
	bV Major	b1, b2, b3, b5, b7
	bV Melodic Minor	b1, b2, b3, b5, bb7
	#V Harmonic Minor	#1, #2, ##4, #5, ##6
	VI Harmonic Minor	b1, b2, b3, b4, b7
	bVII Harmonic Minor	b2, b3, b5, #6, b7
	VII Major	#1, #2, #4, #5, ##6
Harmonic Minor	bI Major	b1, b2, b4, b5, b7
	II Harmonic Major	#1, #3, #4, #6, b7
	#III Harmonic Major	#2, #3, #4, #5, #6
	#III Melodic Minor	#1, #2, #3, #4, #6
	bIV Harmonic Major	b1, bb2, b4, b5, bb7
	bIV Major	b1, b2, b4, b5, bb7
	#IV Harmonic Major	#1, ##3, #4, #5, ##6
	#IV Harmonic Minor	#1, ##3, #4, #5, #6
	bV Harmonic Major	b1, b2, b3, b5, b7
	bV Harmonic Minor	b1, b2, b3, b5, bb7
	#VI Major	#1, #3, #4, #5, #6
	VII Harmonic Major	#1, #2, #3, #4, ##6
	VII Melodic Minor	#1, #3, #4, #5, ##6

Six Alterations
From	To	Alterations
Major	#I Harmonic Major	#1, #2, #3, #4, #5, #7
	#I Melodic Minor	#1, #2, #4, #5, #6, #7
	bII Harmonic Minor	b2, b3, b4, b5, b6, bb7
	bII Melodic Minor	b2, b3, b4, b5, b6, b7
	#II Harmonic Major	##1, #2, #3, ##4, #5, #6
	#II Harmonic Minor	##1, #2, #3, #4, #5, #6
	#IV Major	#1, #2, #3, #4, #5, #6
	bV Harmonic Major	b1, b2, bb3, b5, b6, b7
	bV Harmonic Minor	b1, b2, bb3, b5, b6, bb7
	bV Major	b1, b2, b3, b5, b6, b7
	bV Melodic Minor	b1, b2, b3, b5, b6, bb7
	#V Harmonic Major	#1, #2, ##4, #5, #6, #7
	#V Melodic Minor	#1, #2, #3, ##4, #5, #6
	bVI Harmonic Minor	b1, b2, b3, b4, b6, b7
Melodic Minor	bI Harmonic Major	b1, b2, b4, b5, bb6, b7
	bI Major	b1, b2, b4, b5, b6, b7
	#I Harmonic Major	#1, #2, ##3, #4, #5, #7
	#I Harmonic Minor	#1, #2, #3, #4, #5, #7
	#II Harmonic Major	##1, #2, ##3, ##4, #5, #6
	#II Harmonic Minor	##1, #2, ##3, #4, #5, #6
	bIV Harmonic Major	b1, bb2, b4, b5, b6, bb7
	bIV Harmonic Minor	b1, bb2, b4, b5, bb6, bb7
	bIV Major	b1, b2, b4, b5, b6, bb7
	bIV Melodic Minor	b1, b2, b4, b5, bb6, bb7
	#IV Major	#1, #2, ##3, #4, #5, #6
	bV Harmonic Major	b1, b2, b3, b5, b6, b7
	bV Harmonic Minor	b1, b2, b3, b5, b6, bb7
	#V Harmonic Minor	#1, #2, #3, ##4, #5, #6
	#V Melodic Minor	#1, #2, ##3, ##4, #5, #6
	VII Major	#1, #2, #3, #4, #5, #6
Harmonic Major	bI Major	b1, b2, b3, b4, b5, b7
	bI Melodic Minor	b1, b2, bb3, b4, b5, b7
	#I Harmonic Minor	#1, #2, #4, #5, #6, #7
	#I Melodic Minor	#1, #2, #4, #5, ##6, #7
	#II Harmonic Major	##1, #2, #3, ##4, #5, ##6
	#II Harmonic Minor	##1, #2, #3, #4, #5, ##6
	bIV Harmonic Major	b1, bb2, b3, b4, b5, bb7
	bIV Major	b1, b2, b3, b4, b5, bb7
	#IV Major	#1, #2, #3, #4, #5, ##6
	#IV Melodic Minor	#1, #2, #3, #4, #5, #6
	#V Harmonic Major	#1, #2, ##4, #5, ##6, #7
	#V Melodic Minor	#1, #2, #3, ##4, #5, ##6
	bbVII Harmonic Major	b1, b2, bb3, b4, bb5, bb7
	bbVII Harmonic Minor	b1, bb2, bb3, b4, bb5, bb7
	bbVII Major	b1, b2, bb3, b4, b5, bb7
	bbVII Melodic Minor	b1, bb2, bb3, b4, b5, bb7
Harmonic Minor	bI Harmonic Major	b1, b2, b4, b5, b6, b7
	bI Melodic Minor	b1, b2, b3, b4, b5, b7
	#II Harmonic Major	##1, #2, ##3, ##4, #5, ##6
	#II Harmonic Minor	##1, #2, ##3, #4, #5, ##6
	#III Major	#1, #2, #3, #4, #5, #6
	bIV Harmonic Minor	b1, bb2, b4, b5, b6, bb7
	bIV Melodic Minor	b1, b2, b4, b5, b6, bb7
	#IV Major	#1, #2, ##3, #4, #5, ##6
	#IV Melodic Minor	#1, #2, ##3, #4, #5, #6
	#V Harmonic Minor	#1, #2, #3, ##4, #5, ##6
	#V Melodic Minor	#1, #2, ##3, ##4, #5, ##6
	bbVII Harmonic Major	b1, b2, b3, b4, bb5, bb7
	bbVII Harmonic Minor	b1, bb2, b3, b4, bb5, bb7
	bbVII Major	b1, b2, b3, b4, b5, bb7
	bbVII Melodic Minor	b1, bb2, b3, b4, b5, bb7
	VII Major	#1, #2, #3, #4, #5, ##6