Yourmusic Productions: Fix math error.

2026-05-09T08:12:57Z

Fix math error.

← Older revision		Revision as of 08:12, 9 May 2026
Line 1:		Line 1:
	[[File:1-5-7-15_Hexany.png\|thumb\|Circle diagram.]] A [[7-limit]] [[Hexany]]. This creates a scale of 1 21/16 7/5 3/2 7/4 15/8 2/1, with steps of 21/16 16/15 15/14 7/6 14~~/15~~ 16/15. This is two clusters with a moderate gap on one side and a large gap on the other, but a quite concordant one, containing two perfect fifths, one that is flat by a [[marvel comma]] and one that is sharp by a septimal comma. This means there is no bihexany that can create a truly even scale out of this hexany, but there are still several that let you construct complex chords and have multiple successive chains of 3/2's.		[[File:1-5-7-15_Hexany.png\|thumb\|Circle diagram.]] A [[7-limit]] [[Hexany]]. This creates a scale of 1 21/16 7/5 3/2 7/4 15/8 2/1, with steps of 21/16 16/15 15/14 7/6 15/14 16/15. This is two clusters with a moderate gap on one side and a large gap on the other, but a quite concordant one, containing two perfect fifths, one that is flat by a [[marvel comma]] and one that is sharp by a [[septimal comma]]. This means there is no bihexany that can create a truly even scale out of this hexany, but there are still several that let you construct complex chords and have multiple successive chains of 3/2's.

	<pre>		<pre>
Line 7:		Line 7:
	6		6
	!		!
	~~21/16~~		470.781
	~~7/5~~		582.512
	~~3/2~~		701.955
	~~7/4~~		968.825
	~~15/8~~		1088.268
	~~2/1~~		1200
	</pre>		</pre>

Yourmusic Productions: Create Page.

2025-10-25T04:51:28Z

Create Page.

New page

[[File:1-5-7-15_Hexany.png|thumb|Circle diagram.]] A [[7-limit]] [[Hexany]]. This creates a scale of 1 21/16 7/5 3/2 7/4 15/8 2/1, with steps of 21/16 16/15 15/14 7/6 14/15 16/15. This is two clusters with a moderate gap on one side and a large gap on the other, but a quite concordant one, containing two perfect fifths, one that is flat by a [[marvel comma]] and one that is sharp by a septimal comma. This means there is no bihexany that can create a truly even scale out of this hexany, but there are still several that let you construct complex chords and have multiple successive chains of 3/2's.

<pre>
! 1-5-7-15_Hexany.scl
!
1 5 7 15 2-combination Hexany
6
!
21/16
7/5
3/2
7/4
15/8
2/1
</pre>

Suggested keyboard mapping: C F F# G A# B C

[[Category:Hexanies]]
[[Category:6-tone scales]]
[[Category:Pages with Scala files]]

1-5-7-15 hexany - Revision history

Yourmusic Productions: Fix math error.

Yourmusic Productions: Create Page.