1-3-5-7 by 40/21 bihexany: Difference between revisions

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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.

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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.

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