Yourmusic Productions: Forgot to add the rotated version.

2026-05-11T09:07:20Z

Forgot to add the rotated version.

← Older revision		Revision as of 09:07, 11 May 2026
Line 1:		Line 1:
	[[File:1-5-9-15_Stellated_Hexany.png\|thumb\|Circle diagram.]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 135/128 9/8 75/64 5/4 675/512 45/32 15/8 2/1, with steps of 135/128 16/15 25/24 16/15 135/128 16/15 4/3 16/15. This only adds two notes to the [[1-5-9-15 hexany\|base hexany]], which do not reduce the size of the largest gap or add any more perfect fifths, which means it remains highly lopsided, although it does add one imperfect one that is sharp by a [[diaschisma]]. Like the base hexany, it needs rotating to put the simplest intervals above the root and make best use of them all, and duplicating or combining with some other interval to fill the large gap on the side, which unlike using the base hexany will result in more notes than can be mapped to a standard keyboard. That makes this quite challenging to use despite none of the individual intervals being particularly xenharmonic.		[[File:1-5-9-15_Stellated_Hexany.png\|thumb\|Circle diagram.]] [[File:1-5-9-15_Stellated_Hexany_(rotated).png\|thumb\|Circle diagram. (rotated)]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 135/128 9/8 75/64 5/4 675/512 45/32 15/8 2/1, with steps of 135/128 16/15 25/24 16/15 135/128 16/15 4/3 16/15. This only adds two notes to the [[1-5-9-15 hexany\|base hexany]], which do not reduce the size of the largest gap or add any more perfect fifths, which means it remains highly lopsided, although it does add one imperfect one that is sharp by a [[diaschisma]]. Like the base hexany, it needs rotating to put the simplest intervals above the root and make best use of them all, and duplicating or combining with some other interval to fill the large gap on the side, which unlike using the base hexany will result in more notes than can be mapped to a standard keyboard. That makes this quite challenging to use despite none of the individual intervals being particularly xenharmonic.

	<pre>		<pre>

Yourmusic Productions: Create Page.

2026-05-11T09:03:47Z

Create Page.

New page

[[File:1-5-9-15_Stellated_Hexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 135/128 9/8 75/64 5/4 675/512 45/32 15/8 2/1, with steps of 135/128 16/15 25/24 16/15 135/128 16/15 4/3 16/15. This only adds two notes to the [[1-5-9-15 hexany|base hexany]], which do not reduce the size of the largest gap or add any more perfect fifths, which means it remains highly lopsided, although it does add one imperfect one that is sharp by a [[diaschisma]]. Like the base hexany, it needs rotating to put the simplest intervals above the root and make best use of them all, and duplicating or combining with some other interval to fill the large gap on the side, which unlike using the base hexany will result in more notes than can be mapped to a standard keyboard. That makes this quite challenging to use despite none of the individual intervals being particularly xenharmonic.

<pre>
! 1-5-9-15_Stellated_Hexany.scl
!
1 5 9 15 1-3-combination Hexany
8
!
92.178
203.910
274.582
386.313
478.492
590.223
1088.268
1200
</pre>

Suggested keyboard mapping: C Db D Eb E F F# B C.

[[Category:Hexanies]]
[[Category:8-tone scales]]
[[Category:Pages with Scala files]]

1-5-9-15 stellated hexany - Revision history

Yourmusic Productions: Forgot to add the rotated version.

Yourmusic Productions: Create Page.