Yourmusic Productions: Grammar.

2025-11-18T19:15:08Z

Grammar.

← Older revision		Revision as of 19:15, 18 November 2025
Line 1:		Line 1:
	[[File:5-7-9-15_by_5-4_Bihexany.png\|thumb\|Circle diagram.]] A [[15-odd-limit]] [[Bihexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 75/56 3/2 45/28 9/5 15/8 27/14 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 25/24 28/25 15/14 28/25 25/24 36/35 28/27. Since the [[5-7-9-15_hexany\|base hexany]] has two ~~perfect~~ 6/5, but no 5/4's, this expands it out in a way that gives it a rich selection of chords, as there are 6 notes with perfect fifths above them, 2 with fifths flat by a [[marvel comma]] and 1 flat by a [[starling comma]], all of which have some kind of major or minor chord, often with several different choices of third, and no note smaller than a quartertone, making it quite melodically effective as well.		[[File:5-7-9-15_by_5-4_Bihexany.png\|thumb\|Circle diagram.]] A [[15-odd-limit]] [[Bihexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 75/56 3/2 45/28 9/5 15/8 27/14 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 25/24 28/25 15/14 28/25 25/24 36/35 28/27. Since the [[5-7-9-15_hexany\|base hexany]] has two 6/5's and 3/2's, but no 5/4's, this expands it out in a way that gives it a rich selection of chords, as there are 6 notes with perfect fifths above them, 2 with fifths flat by a [[marvel comma]] and 1 flat by a [[starling comma]], all of which have some kind of major or minor chord, often with several different choices of third, and no note smaller than a quartertone, making it quite melodically effective as well.

	<pre>		<pre>

Yourmusic Productions: Create Page.

2025-11-18T16:54:04Z

Create Page.

New page

[[File:5-7-9-15_by_5-4_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[Bihexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 75/56 3/2 45/28 9/5 15/8 27/14 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 25/24 28/25 15/14 28/25 25/24 36/35 28/27. Since the [[5-7-9-15_hexany|base hexany]] has two perfect 6/5, but no 5/4's, this expands it out in a way that gives it a rich selection of chords, as there are 6 notes with perfect fifths above them, 2 with fifths flat by a [[marvel comma]] and 1 flat by a [[starling comma]], all of which have some kind of major or minor chord, often with several different choices of third, and no note smaller than a quartertone, making it quite melodically effective as well.

<pre>
! 5-7-9-15_by_5/4_Bihexany.scl
!
5 7 9 15 by 5/4 2-combination Bihexany
12
!
119.442
204.910
323.352
386.313
435.084
505.756
701.955
821.397
1017.596
1088.268
1137.039
1200
</pre>

[[Category:Hexanies]]
[[Category:12-tone scales]]
[[Category:Pages with Scala files]]

5-7-9-15 by 5/4 bihexany - Revision history

Yourmusic Productions: Grammar.

Yourmusic Productions: Create Page.