1-3-5-7 by 15/14 bihexany: Difference between revisions

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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.

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Revision as of 09:57, 14 January 2026 view source Yourmusic Productions (talk \| contribs) autopatrolled, emailconfirmed 1,869 edits Create Page.		Latest revision as of 09:59, 14 January 2026 view source Yourmusic Productions (talk \| contribs) autopatrolled, emailconfirmed 1,869 edits m formatting.
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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.

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