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 [[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.

[[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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	[[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.		[[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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