Yourmusic Productions: Grammar.

2026-01-09T05:51:12Z

Grammar.

← Older revision		Revision as of 05:51, 9 January 2026
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	[[File:1-3-5-7_Stellated_Hexany.png\|thumb\|Circle diagram.]] The simplest possible stellated [[Hexany]], comprised of sum products 1-3 of the first four odd numbers. This creates a scale of 1 35/32 5/4 21/16 3/2 105/64 7/4 15/8 2/1, with steps of 35/32 8/7 21/20 8/7 35/32 16/15 15/14 16/15. As it has 1 as a factor, all the notes are otonal to the root and there are many repeated ones, leaving plenty of gaps on a standard keyboard. Every note is far enough from its neighbours to be melodically distinct, and there are a surprising number of xeharmonic ones, with 35/32 and 105/64 in particular falling almost precisely between the cracks of the 12edo keyboard. That makes this interesting melodically despite being very strongly rooted and somewhat limited in terms of modulation options.		[[File:1-3-5-7_Stellated_Hexany.png\|thumb\|Circle diagram.]] The simplest possible stellated [[Hexany]], comprised of sum products of multiplying out 1-3 of the first four odd numbers. This creates a scale of 1 35/32 5/4 21/16 3/2 105/64 7/4 15/8 2/1, with steps of 35/32 8/7 21/20 8/7 35/32 16/15 15/14 16/15. As it has 1 as a factor, all the notes are otonal to the root and there are many repeated ones, leaving plenty of gaps on a standard keyboard. Every note is far enough from its neighbours to be melodically distinct, and there are a surprising number of xeharmonic ones, with 35/32 and 105/64 in particular falling almost precisely between the cracks of the 12edo keyboard. That makes this interesting melodically despite being very strongly rooted and somewhat limited in terms of modulation options.

	<pre>		<pre>

Yourmusic Productions: Should have created this page months ago.

2026-01-09T05:39:59Z

Should have created this page months ago.

New page

[[File:1-3-5-7_Stellated_Hexany.png|thumb|Circle diagram.]] The simplest possible stellated [[Hexany]], comprised of sum products 1-3 of the first four odd numbers. This creates a scale of 1 35/32 5/4 21/16 3/2 105/64 7/4 15/8 2/1, with steps of 35/32 8/7 21/20 8/7 35/32 16/15 15/14 16/15. As it has 1 as a factor, all the notes are otonal to the root and there are many repeated ones, leaving plenty of gaps on a standard keyboard. Every note is far enough from its neighbours to be melodically distinct, and there are a surprising number of xeharmonic ones, with 35/32 and 105/64 in particular falling almost precisely between the cracks of the 12edo keyboard. That makes this interesting melodically despite being very strongly rooted and somewhat limited in terms of modulation options.

<pre>
! 1-3-5-7_Stellated_Hexany.scl
!
1 3 5 7 1-3-combination Hexany
8
!
155.139
386.313
470.781
701.955
857.094
968.825
1088.268
1200
</pre>

Suggested keyboard mapping: C D E F G A Bb B C

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

1-3-5-7 stellated hexany - Revision history

Yourmusic Productions: Grammar.

Yourmusic Productions: Should have created this page months ago.