3-5-7-15 by 11/7 bihexany: Difference between revisions
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[[File:3-5-7-15_by_11-7_Bihexany.png|thumb|Circle diagram.]] An 11-limit [[bihexany]]. This creates a scale of 1 11/10 7/6 33/28 5/4 11/8 7/5 3/2 11/7 7/4 11/6 55/28 2/1, with steps of 11/10 35/33 99/98 35/33 11/10 56/55 15/14 22/21 49/44 22/21 15/14 56/55. As half of the notes in the [[3-5-7-15_hexany|base hexany]] have 7 as the numerator, offsetting them by this number converts them to undecimal intervals while still keeping the ratios as simple as possible, although some of the individual steps that result are smaller than optimal. | [[File:3-5-7-15_by_11-7_Bihexany.png|thumb|Circle diagram.]] An [[11-limit]] [[bihexany]]. This creates a scale of 1 11/10 7/6 33/28 5/4 11/8 7/5 3/2 11/7 7/4 11/6 55/28 2/1, with steps of 11/10 35/33 99/98 35/33 11/10 56/55 15/14 22/21 49/44 22/21 15/14 56/55. As half of the notes in the [[3-5-7-15_hexany|base hexany]] have 7 as the numerator, offsetting them by this number converts them to undecimal intervals while still keeping the ratios as simple as possible, although some of the individual steps that result are smaller than optimal. | ||
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Latest revision as of 17:11, 7 November 2025
An 11-limit bihexany. This creates a scale of 1 11/10 7/6 33/28 5/4 11/8 7/5 3/2 11/7 7/4 11/6 55/28 2/1, with steps of 11/10 35/33 99/98 35/33 11/10 56/55 15/14 22/21 49/44 22/21 15/14 56/55. As half of the notes in the base hexany have 7 as the numerator, offsetting them by this number converts them to undecimal intervals while still keeping the ratios as simple as possible, although some of the individual steps that result are smaller than optimal.
! 3-5-7-15_by_11/7_Hexany.scl ! 3 5 7 15 by 11/7 2-combination Hexany 12 ! 165.004 266.871 284.447 386.313 551.317 582.512 701.955 782.492 968.825 1049.362 1168.805 1200