Yourmusic Productions: formatting.

2026-01-14T09:59:01Z

formatting.

← Older revision		Revision as of 09:59, 14 January 2026
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	[[File:1-3-5-7_by_15-14_Bihexany.png\|thumb\|Circle diagram.]] [[File:1-3-5-7_by_15-14_Bihexany_(rotated).png\|thumb\|Circle diagram. (rotated)]] Two copies of the [[1-3-5-7_hexany\|simplest possible]] [[Hexany]], offset by a large semitone. This creates a scale of 1 15/14 7/6 5/4 75/56 35/24 25/16 5/3 7/4 25/14 15/8 2/1, with steps of 15/14 49/45 15/14 15/14 49/45 15/14 16/15 21/20 50/49 21/20 16/15. This is the simplest 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 and 2 [[~~marvellous~~]] ones, giving you plenty of stable rooting places with simple consonant chords above them and only one interval that is mildly dubious melodically, making it one of the stronger ways of expanding out this hexany.		[[File:1-3-5-7_by_15-14_Bihexany.png\|thumb\|Circle diagram.]] [[File:1-3-5-7_by_15-14_Bihexany_(rotated).png\|thumb\|Circle diagram. (rotated)]] Two copies of the [[1-3-5-7_hexany\|simplest possible]] [[Hexany]], offset by a large semitone. This creates a scale of 1 15/14 7/6 5/4 75/56 35/24 25/16 5/3 7/4 25/14 15/8 2/1, with steps of 15/14 49/45 15/14 15/14 49/45 15/14 16/15 21/20 50/49 21/20 16/15. This is the simplest 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 and 2 [[112/75\|marvelous]] ones, giving you plenty of stable rooting places with simple consonant chords above them and only one interval that is mildly dubious melodically, making it one of the stronger ways of expanding out this hexany.

	<pre>		<pre>

Yourmusic Productions: Create Page.

2026-01-14T09:57:46Z

Create Page.

New page

[[File:1-3-5-7_by_15-14_Bihexany.png|thumb|Circle diagram.]] [[File:1-3-5-7_by_15-14_Bihexany_(rotated).png|thumb|Circle diagram. (rotated)]] Two copies of the [[1-3-5-7_hexany|simplest possible]] [[Hexany]], offset by a large semitone. This creates a scale of 1 15/14 7/6 5/4 75/56 35/24 25/16 5/3 7/4 25/14 15/8 2/1, with steps of 15/14 49/45 15/14 15/14 49/45 15/14 16/15 21/20 50/49 21/20 16/15. This is the simplest 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 and 2 [[marvellous]] ones, giving you plenty of stable rooting places with simple consonant chords above them and only one interval that is mildly dubious melodically, making it one of the stronger ways of expanding out this hexany.

<pre>
! 1-3-5-7_by_15/14_Bihexany.scl
!
1 3 5 7 by 15/14 2-combination Bihexany
11
!
119.442
266.871
386.313
505.756
653.184
772.627
884.358
968.825
1003.801
1088.268
1200
</pre>

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

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

1-3-5-7 by 15/14 bihexany - Revision history

Yourmusic Productions: formatting.

Yourmusic Productions: Create Page.