User:VectorGraphics/Vector's introduction to 15edo/Chord names and functions

This is a database of names for tertian chords in 15edo.

Triads

Chord	Name	Abbreviation	Notes
█▒▒▒▒▓▒▒▒▒▓▒	Augmented triad	aug
█▒▒▓▒▒▒▒▒▓▒	Arto triad	sus2
█▒▒▒▓▒▒▒▒▓▒	Minor triad	min
█▒▒▒▒▓▒▒▒▓▒	Major triad	maj
█▒▒▒▒▒▓▒▒▓▒	Tendo triad	sus4
█▒▒▓▒▒▒▒▓▒	Wolfminor triad	wmin
█▒▒▒▓▒▒▒▓▒	Diminished triad	dim
█▒▒▒▒▓▒▒▓▒	Wolfmajor triad	wmaj
█▒▒▓▒▒▒▓▒	Minor diminished triad	dmin
█▒▒▒▓▒▒▓▒	Major diminished triad	dmaj
█▒▒▓▒▒▓▒	Slendric triad	sl

Tetrads (less sure)

Chord	Name	Abbreviation	Notes
█▒▒▒▒▓▒▒▒▒▓▒▒▒▓|▒	Augmented major 7 tetrad	aug/maj7
█▒▒▒▒▓▒▒▒▓▒▒▒▒▓|▒	Major 7 tetrad	maj7
█▒▒▒▓▒▒▒▒▓▒▒▒▒▓|▒	Minor major 7 tetrad	min/maj7
█▒▒▒▒▓▒▒▒▒▓▒▒▓▒	Augmented 7 tetrad	aug7
█▒▒▒▒▓▒▒▒▓▒▒▒▓▒	Dominant 7 tetrad	7	may be spelled dom7 to clarify
█▒▒▒▓▒▒▒▒▓▒▒▒▓▒	Minor 7 tetrad	min7
█▒▒▒▒▓▒▒▓▒▒▒▒▓▒	Wolfmajor 7 tetrad	wmaj7
█▒▒▒▓▒▒▒▓▒▒▒▒▓▒	Half-diminished tetrad	dim/min7
█▒▒▓▒▒▒▒▓▒▒▒▒▓▒	Wolfminor 7 tetrad	wmin7
█▒▒▒▒▓▒▒▒▓▒▒▓▒	Harmonic 7 tetrad	h7	may be spelled majh7 to clarify
█▒▒▒▓▒▒▒▒▓▒▒▓▒	Minor harmonic 7 tetrad	minh7
█▒▒▒▒▓▒▒▓▒▒▒▓▒	Wolfmajor harmonic 7 tetrad	wmajh7
█▒▒▒▓▒▒▒▓▒▒▒▓▒	Diminished harmonic 7 tetrad	dimh7
█▒▒▓▒▒▒▒▓▒▒▒▓▒	Wolfminor harmonic 7 tetrad	wminh7
█▒▒▒▓▒▒▓▒▒▒▒▓▒	Major half diminished tetrad	dmajh7
█▒▒▓▒▒▒▓▒▒▒▒▓▒	Minor half-diminished tetrad	dminh7
█▒▒▒▒▓▒▒▓▒▒▓▒	Wolfmajor diminished 7 tetrad	wmaj/dim7
█▒▒▒▓▒▒▒▓▒▒▓▒	Diminished 7 tetrad	dim7
█▒▒▓▒▒▒▒▓▒▒▓▒	Wolfminor diminished 7 tetrad	wmin/dim7
█▒▒▒▓▒▒▓▒▒▒▓▒	Major diminished 7 tetrad	dmaj7
█▒▒▓▒▒▒▓▒▒▒▓▒	Minor diminished 7 tetrad	dmin7
█▒▒▓▒▒▓▒▒▒▒▓▒	Slendric diminished 7 tetrad	sl/dim7	may be spelled as a major 6th, sl/maj6
█▒▒▒▓▒▒▓▒▒▓▒	Major diminished-augmented tetrad	dmaj/aug5	may be spelled as a minor 6th, dmaj/min6
█▒▒▓▒▒▒▓▒▒▓▒	Minor diminished-augmented tetrad	dmin/aug5	may be spelled as a minor 6th, dmin/min6
█▒▒▓▒▒▓▒▒▒▓▒	Slendric augmented tetrad	sl/aug5	may be spelled as a minor 6th, sl/min6
█▒▒▓▒▒▓▒▒▓▒	Slendric tetrad	sl5

Functional harmony

Functional harmony in zarlino should work similarly to 12edo; here are some key points to keep in mind.

1) The seventh chords on each degree of the LH Ionian scale

Degree	Chord	Equivalent voicings	Third	Fifth	Seventh
1	Imaj7		5	9	14
2	IImin7		4	9	13
3	IIIminh7	Vwmaj/dim7, VIIsl/aug5	4	9	12
4	IVmaj7		5	9	14
5	Vwmajh7	VIIdmin/aug5, IIdmajh7	5	8	12
6	VImin7		4	9	13
7	VIIdminh7	IIminh7, IVwmaj/dim7	3	7	12

2) The seventh chords on each degree of the RH Ionian scale

Degree	Chord	Equivalent voicings	Third	Fifth	Seventh
1	Imaj7		5	9	14
2	IIwminh7	IVh7, VIdmajh7	4	9	13
3	IIImin7		4	9	12
4	IVmaj7		5	9	14
5	Vh7	VIIdmaj/aug5, IIsl/dim7	5	8	12
6	VImin7		4	9	13
7	VIIdmajh7	IIwmin/dim7, IVwmajh7	3	7	12