Yourmusic Productions: add links to bihexanies

2025-11-13T12:59:40Z

add links to bihexanies

← Older revision		Revision as of 12:59, 13 November 2025
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	[[File:3-7-13-15_Hexany.png\|thumb\|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 15/14 13/12 65/56 5/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 52/35 14/13. This is a very incomplete detemper of [[negri]] temperament, a chain of 13/12's, 14/13/s and 15/14/s that doesn't even reach halfway around the octave, while distinguishing a couple of notes that are conflated in the linear temperament by the tempering out of [[91/90]]. There are still some consonant chords to be found here, but it needs expanding out to a dekany or bihexany to fill in the gap and make compositions possible that are not extremely limited in range.		[[File:3-7-13-15_Hexany.png\|thumb\|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 15/14 13/12 65/56 5/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 52/35 14/13. This is a very incomplete detemper of [[negri]] temperament, a chain of 13/12's, 14/13/s and 15/14/s that doesn't even reach halfway around the octave, while distinguishing a couple of notes that are conflated in the linear temperament by the tempering out of [[91/90]]. There are still some consonant chords to be found here, but it needs expanding out to a dekany or bihexany to fill in the gap and make compositions possible that are not extremely limited in range, as the following examples demonstrate.

			* [[3-7-13-15 by 4/3 bihexany]]
			* [[3-7-13-15 by 7/5 bihexany]]
			* [[3-7-13-15 by 21/13 bihexany]]

	<pre>		<pre>
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	[[Category:6-tone scales]]		[[Category:6-tone scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]
			[[Category:Negri]]

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2025-11-13T09:31:39Z

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[[File:3-7-13-15_Hexany.png|thumb|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 15/14 13/12 65/56 5/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 52/35 14/13. This is a very incomplete detemper of [[negri]] temperament, a chain of 13/12's, 14/13/s and 15/14/s that doesn't even reach halfway around the octave, while distinguishing a couple of notes that are conflated in the linear temperament by the tempering out of [[91/90]]. There are still some consonant chords to be found here, but it needs expanding out to a dekany or bihexany to fill in the gap and make compositions possible that are not extremely limited in range.

<pre>
! 3-7-13-15_Hexany.scl
!
3 7 13 15 2-combination Hexany
6
!
119.442
138.572
258.015
386.313
1071.701
1200
</pre>

Suggested keyboard mapping: C Db D Eb E B C

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

3-7-13-15 hexany - Revision history

Yourmusic Productions: add links to bihexanies

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