Yourmusic Productions: Fix math error.

2026-01-07T12:05:31Z

Fix math error.

← Older revision		Revision as of 12:05, 7 January 2026
Line 1:		Line 1:
	[[File:1-7-9-11-15_Dekany.png\|thumb\|Circle diagram.]] A [[13-odd-limit]] [[dekany]]. This creates a scale of 1 15/14 9/8 135/112 9/7 11/8 165/112 11/7 99/56 15/8 2/1, with steps of 15/14 21/20 15/14 16/15 77/72 15/14 16/15 9/8 35/33 16/15. With lots of intervals that are slightly over the size of a 12edo semitone and one that is double that, this is essentially a detempered version of [[11edo]] with a single note missing. As such, it completely misses any 5-limit perfect fifths or major thirds, making it quite strange harmonically, but is surprisingly familiar sounding melodically as long as you don't make any large leaps.		[[File:1-7-9-11-15_Dekany.png\|thumb\|Circle diagram.]] A [[15-odd-limit]] [[dekany]]. This creates a scale of 1 15/14 9/8 135/112 9/7 11/8 165/112 11/7 99/56 15/8 2/1, with steps of 15/14 21/20 15/14 16/15 77/72 15/14 16/15 9/8 35/33 16/15. With lots of intervals that are slightly over the size of a 12edo semitone and one that is double that, this is essentially a detempered version of [[11edo]] with a single note missing. As such, it completely misses any 5-limit perfect fifths or major thirds, making it quite strange harmonically, but is surprisingly familiar sounding melodically as long as you don't make any large leaps.

	<pre>		<pre>

Yourmusic Productions: Create Page.

2026-01-07T12:05:04Z

Create Page.

New page

[[File:1-7-9-11-15_Dekany.png|thumb|Circle diagram.]] A [[13-odd-limit]] [[dekany]]. This creates a scale of 1 15/14 9/8 135/112 9/7 11/8 165/112 11/7 99/56 15/8 2/1, with steps of 15/14 21/20 15/14 16/15 77/72 15/14 16/15 9/8 35/33 16/15. With lots of intervals that are slightly over the size of a 12edo semitone and one that is double that, this is essentially a detempered version of [[11edo]] with a single note missing. As such, it completely misses any 5-limit perfect fifths or major thirds, making it quite strange harmonically, but is surprisingly familiar sounding melodically as long as you don't make any large leaps.

<pre>
! 1-7-9-11-15_Dekany.scl
!
1 7 9 11 15 2-combination Dekany
10
!
119.442
203.910
323.352
435.084
551.317
670.760
782.492
986.402
1088.268
1200
</pre>

Suggested keyboard mapping: Start on C, skipping the F and A notes.

[[Category:Dekanies]]
[[Category:10-tone scales]]
[[Category:Pages with Scala files]]

1-7-9-11-15 dekany - Revision history

Yourmusic Productions: Fix math error.

Yourmusic Productions: Create Page.