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← Older revision		Revision as of 09:42, 15 January 2026
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	[[File:1-3-5-7_by_40-21_Bihexany.png\|thumb\|Circle diagram.]] [[File:1-3-5-7_by_40-21_Bihexany_(rotated).png\|thumb\|Circle diagram. (rotated)]] Two copies of the [[1-3-5-7_hexany\|simplest possible]] [[Hexany]], offset by a small semitone. This creates a scale of 1 10/9 7/6 25/21 5/4 25/18 35/24 100/63 5/3 7/4 40/21 2/1, with steps of 10/9 21/20 50/49 21/20 10/9 21/20 160/147 21/20 21/20 160/147 21/20. This is the second of the three bihexanies derived from this hexany that has a single repeated note, resulting in an 11 note scale with a clear line of symmetry through the centre. While it does not have a fifth above the root, it does have 4 other perfect ones that can be used to provide points of stability, making it not too difficult to compose with, especially if you like the sound of slightly narrowed ~~semotones~~ and only one interval that is somewhat dubious melodically.		[[File:1-3-5-7_by_40-21_Bihexany.png\|thumb\|Circle diagram.]] [[File:1-3-5-7_by_40-21_Bihexany_(rotated).png\|thumb\|Circle diagram. (rotated)]] Two copies of the [[1-3-5-7_hexany\|simplest possible]] [[Hexany]], offset by a small semitone. This creates a scale of 1 10/9 7/6 25/21 5/4 25/18 35/24 100/63 5/3 7/4 40/21 2/1, with steps of 10/9 21/20 50/49 21/20 10/9 21/20 160/147 21/20 21/20 160/147 21/20. This is the second of the three bihexanies derived from this hexany that has a single repeated note, resulting in an 11 note scale with a clear line of symmetry through the centre. While it does not have a fifth above the root, it does have 4 other perfect ones that can be used to provide points of stability, making it not too difficult to compose with, especially if you like the sound of slightly narrowed semitones, and only one interval that is somewhat dubious melodically.

	<pre>		<pre>

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2026-01-15T09:41:46Z

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[[File:1-3-5-7_by_40-21_Bihexany.png|thumb|Circle diagram.]] [[File:1-3-5-7_by_40-21_Bihexany_(rotated).png|thumb|Circle diagram. (rotated)]] Two copies of the [[1-3-5-7_hexany|simplest possible]] [[Hexany]], offset by a small semitone. This creates a scale of 1 10/9 7/6 25/21 5/4 25/18 35/24 100/63 5/3 7/4 40/21 2/1, with steps of 10/9 21/20 50/49 21/20 10/9 21/20 160/147 21/20 21/20 160/147 21/20. This is the second of the three bihexanies derived from this hexany that has a single repeated note, resulting in an 11 note scale with a clear line of symmetry through the centre. While it does not have a fifth above the root, it does have 4 other perfect ones that can be used to provide points of stability, making it not too difficult to compose with, especially if you like the sound of slightly narrowed semotones and only one interval that is somewhat dubious melodically.

<pre>
! 1-3-5-7_by_15/14_Bihexany.scl
!
1 3 5 7 by 15/14 2-combination Bihexany
11
!
182.403
266.871
301.846
386.313
568.717
653.184
799.891
884.358
968.825
1115.532
1200
</pre>

Suggested keyboard mapping: Start on C, skipping the G note

[[Category:Hexanies]]
[[Category:11-tone scales]]
[[Category:Pages with Scala files]]

1-3-5-7 by 40/21 bihexany - Revision history

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