User:Astaryuu/15edo Notes/Notes and chords - Revision history

Astaryuu: /* Sixths and sevenths */

2026-02-08T05:39:23Z

Sixths and sevenths

← Older revision		Revision as of 05:39, 8 February 2026
Line 39:		Line 39:

	12\15 is in a weird case; I tend to call it the "wolf seventh" though, as it has the same interval with the wolf fifth (8\15) that the wolf fifth has with the minor third (4\15). However, it is "technically" a harmonic seventh, and forms harmonic seventh chords.		12\15 is in a weird case; I tend to call it the "wolf seventh" though, as it has the same interval with the wolf fifth (8\15) that the wolf fifth has with the minor third (4\15). However, it is "technically" a harmonic seventh, and forms harmonic seventh chords.

			==Putting it all together==
			The following is a table of chords that I have created in messing around with 15edo. They are all justified on 0, so not every scale is going to have these. A whole separate page can go into what chords naturally occur in each mode of a given scale.

			{\| class="wikitable sortable"
			\|-
			! Contents
			! Name
			! Other names
			! Notes
			\|-
			\| 0 2 8
			\| wolfsuspended-2
			\|
			\|
			\|-
			\| 0 3 8
			\| wolfminor
			\|
			\| I offset wolf-fifth chords by one compared to natural-fifth chords.
			\|-
			\| 0 4 8
			\| wolfmajor
			\| diminished
			\| In a minor piece, this will sound diminished.
			\|-
			\| 0 5 8
			\| wolfsupermajor
			\| wolfsuspended-4
			\|
			\|-
			\| 0 3 9
			\| subminor
			\| suspended-2
			\| With a proper 9\15 interval, 3\15 can appear either to be a wolf third or a major second.
			\|-
			\| 0 4 9
			\| minor
			\| \|\|
			\|-
			\| 0 5 9
			\| major
			\| \|\|
			\|-
			\| 0 6 9
			\| suspended-4
			\| \|\|
			\|-
			\| 0 5 10
			\| augmented
			\| \|\|
			\|-
			\| 0 4 8 12
			\| wolfmajor 7th
			\| diminished 7th
			\| See also the original 0-4-8 chord.
			\|-
			\| 0 4 9 13
			\| minor 7th
			\| \|\|
			\|-
			\| 0 5 9 13
			\| dominant 7th
			\| \|\|
			\|-
			\| 0 5 9 14
			\| major 7th
			\| \|\|
			\|-
			\| 0 5 10 13
			\| augmented 7th
			\| \|\|
			\|-
			\| 0 5 10 14
			\| augmented major 7th
			\| \|\|
			\|}

Astaryuu: /* Sixths and sevenths */

2026-02-06T18:13:55Z

Sixths and sevenths

← Older revision		Revision as of 18:13, 6 February 2026
Line 38:		Line 38:
	13\15 and 14\15 are seventh-like, with 13\15 as a minor 7th and 14\15 as a major 7th. This also means that if it exists, 13\15 will likely be your guy for seventh chords, as dominant sevenths are the default.		13\15 and 14\15 are seventh-like, with 13\15 as a minor 7th and 14\15 as a major 7th. This also means that if it exists, 13\15 will likely be your guy for seventh chords, as dominant sevenths are the default.

	12\15 is in a weird case; I tend to call it the "wolf seventh" though, as it has the same interval with the wolf fifth (8\15) that the wolf fifth has with the minor third (4\15).		12\15 is in a weird case; I tend to call it the "wolf seventh" though, as it has the same interval with the wolf fifth (8\15) that the wolf fifth has with the minor third (4\15). However, it is "technically" a harmonic seventh, and forms harmonic seventh chords.

	~~Technically, in chords, any seventh can serve as the new note on top of a three-note chord~~. However, ~~I think~~ it ~~best to, if possible, stick to the wolf~~ seventh ~~for wolf chords~~, and ~~the minor~~ seventh ~~for non-wolf~~ chords.

Astaryuu: /* Inside you are two fifths (and two tritones) */

2026-02-06T18:08:34Z