1-3-5-7 by 9/5 bihexany - Revision history

Yourmusic Productions: copypasting error

2025-11-15T09:51:06Z

copypasting error

← Older revision		Revision as of 09:51, 15 November 2025
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	!		!
	1 3 5 7 by 9/5 2-combination bihexany		1 3 5 7 by 9/5 2-combination bihexany
	6		12
	!		!
	21/20		21/20

Yourmusic Productions: Linking.

2025-10-23T12:22:45Z

Linking.

← Older revision		Revision as of 12:22, 23 October 2025
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	[[File:1-3-5-7_by_9-5_bihexany.png\|thumb\|Circle diagram.]] The simplest possible [[Hexany]], offset by the simplest interval that produces a full 12 note bihexany with no duplicates. This creates a scale of 1 21/20 9/8 7/6 5/4 21/16 35/24 3/2 63/40 5/3 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 21/20 10/9 36/35 21/20 200/189 21/20 36/35 10/9. Like its source hexany, this is actually less evenly distributed and contains more obviously xenharmonic intervals than the [[1-3-5-~~9_by~~ 7/5 bihexany]]. However, it can still be mapped to a standard 12 tone keyboard without any note deviating from 12edo by more than 100 cents. 6 of the notes have perfect fifths above them to create stable chords with. Particularly interesting from a compositional standpoint is that the root note has both harmonic and dominant 7ths above it, and those notes are distinct, unlike in 12edo, where they are tempered together, making it a useful system for teaching the basics of just intonation and why it can sound more in tune than equal temperament if used correctly.		[[File:1-3-5-7_by_9-5_bihexany.png\|thumb\|Circle diagram.]] The simplest possible [[Hexany]], offset by the simplest interval that produces a full 12 note bihexany with no duplicates. This creates a scale of 1 21/20 9/8 7/6 5/4 21/16 35/24 3/2 63/40 5/3 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 21/20 10/9 36/35 21/20 200/189 21/20 36/35 10/9. Like its [[1-3-5-7 hexany\|source hexany]], this is actually less evenly distributed and contains more obviously xenharmonic intervals than the [[1-3-5-9 by 7/5 bihexany]]. However, it can still be mapped to a standard 12 tone keyboard without any note deviating from 12edo by more than 100 cents. 6 of the notes have perfect fifths above them to create stable chords with. Particularly interesting from a compositional standpoint is that the root note has both harmonic and dominant 7ths above it, and those notes are distinct, unlike in 12edo, where they are tempered together, making it a useful system for teaching the basics of just intonation and why it can sound more in tune than equal temperament if used correctly.

	<pre>		<pre>

Yourmusic Productions: Expansion.

2025-10-14T17:26:10Z

Expansion.

← Older revision		Revision as of 17:26, 14 October 2025
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	[[File:1-3-5-7_by_9-5_bihexany.png\|thumb\|Circle diagram.]] The simplest possible [[Hexany]], offset by the simplest interval that produces a full 12 note bihexany with no duplicates. This creates a scale of 1 21/20 9/8 7/6 5/4 21/16 35/24 3/2 63/40 5/3 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 21/20 10/9 36/35 21/20 200/189 21/20 36/35 10/9. Like its source hexany, this is actually less evenly distributed and contains more obviously xenharmonic intervals than the [[1-3-5-9_by 7/5 bihexany]]. However, it can still be mapped to a standard 12 tone keyboard without any note deviating from 12edo by more than 100 cents. 6 of the notes have perfect fifths above them to create stable chords with.		[[File:1-3-5-7_by_9-5_bihexany.png\|thumb\|Circle diagram.]] The simplest possible [[Hexany]], offset by the simplest interval that produces a full 12 note bihexany with no duplicates. This creates a scale of 1 21/20 9/8 7/6 5/4 21/16 35/24 3/2 63/40 5/3 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 21/20 10/9 36/35 21/20 200/189 21/20 36/35 10/9. Like its source hexany, this is actually less evenly distributed and contains more obviously xenharmonic intervals than the [[1-3-5-9_by 7/5 bihexany]]. However, it can still be mapped to a standard 12 tone keyboard without any note deviating from 12edo by more than 100 cents. 6 of the notes have perfect fifths above them to create stable chords with. Particularly interesting from a compositional standpoint is that the root note has both harmonic and dominant 7ths above it, and those notes are distinct, unlike in 12edo, where they are tempered together, making it a useful system for teaching the basics of just intonation and why it can sound more in tune than equal temperament if used correctly.

	<pre>		<pre>

Yourmusic Productions: Create Page.

2025-10-12T03:37:16Z

Create Page.

New page

[[File:1-3-5-7_by_9-5_bihexany.png|thumb|Circle diagram.]] The simplest possible [[Hexany]], offset by the simplest interval that produces a full 12 note bihexany with no duplicates. This creates a scale of 1 21/20 9/8 7/6 5/4 21/16 35/24 3/2 63/40 5/3 7/4 9/5 2/1, with steps of 21/20 15/14 28/27 15/14 21/20 10/9 36/35 21/20 200/189 21/20 36/35 10/9. Like its source hexany, this is actually less evenly distributed and contains more obviously xenharmonic intervals than the [[1-3-5-9_by 7/5 bihexany]]. However, it can still be mapped to a standard 12 tone keyboard without any note deviating from 12edo by more than 100 cents. 6 of the notes have perfect fifths above them to create stable chords with.

<pre>
! 1-3-5-7_by_9/5_Bihexany.scl
!
1 3 5 7 by 9/5 2-combination bihexany
6
!
21/20
9/8
7/6
5/4
21/16
35/24
3/2
63/40
5/3
7/4
9/5
2/1
</pre>

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