5-7-13-15 by 9/8 bihexany: Difference between revisions
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[[File:5-7-13-15_by_9-8_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[Hexany]]. This creates a scale of 1 117/112 15/14 9/8 135/112 13/10 39/28 117/80 3/2 351/224 27/16 13/7 2/1, with steps of 117/112 40/39 21/20 15/14 728/675 15/14 21/20 40/39 117/112 14/13 208/189 14/13. Like many hexanies with two 3/2's that do not connect to one-another, offsetting the notes by this interval is an easy way to create a bihexany with 6 perfect fifths, organised in two chains of 3. However, in this case it causes the clusters of notes in the base hexany to overlap, creating multiple third and fifth-tones in quick succession, making it not the strongest choice melodically even if it is the easiest way to add large quantities of stable chords to choose from. | [[File:5-7-13-15_by_9-8_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[Hexany]]. This creates a scale of 1 117/112 15/14 9/8 135/112 13/10 39/28 117/80 3/2 351/224 27/16 13/7 2/1, with steps of 117/112 40/39 21/20 15/14 728/675 15/14 21/20 40/39 117/112 14/13 208/189 14/13. Like many hexanies with two 3/2's that do not connect to one-another, offsetting the notes by this interval is an easy way to create a bihexany with 6 perfect fifths, organised in two chains of 3. However, in this case it causes the clusters of notes in the [[5-7-13-15_hexany]] base hexany to overlap, creating multiple third and fifth-tones in quick succession, making it not the strongest choice melodically even if it is the easiest way to add large quantities of stable chords to choose from. | ||
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! 5-7-13-15_by_9/8_Bihexany.scl | ! 5-7-13-15_by_9/8_Bihexany.scl | ||
Revision as of 10:56, 20 November 2025
A 15-odd-limit Hexany. This creates a scale of 1 117/112 15/14 9/8 135/112 13/10 39/28 117/80 3/2 351/224 27/16 13/7 2/1, with steps of 117/112 40/39 21/20 15/14 728/675 15/14 21/20 40/39 117/112 14/13 208/189 14/13. Like many hexanies with two 3/2's that do not connect to one-another, offsetting the notes by this interval is an easy way to create a bihexany with 6 perfect fifths, organised in two chains of 3. However, in this case it causes the clusters of notes in the 5-7-13-15_hexany base hexany to overlap, creating multiple third and fifth-tones in quick succession, making it not the strongest choice melodically even if it is the easiest way to add large quantities of stable chords to choose from.
! 5-7-13-15_by_9/8_Bihexany.scl ! 5 7 13 15 by 9/8 2-combination Bihexany 12 ! 75.611 119.442 203.910 323.352 454.213 573.656 658.123 701.955 777.566 905.865 1071.701 1200