3-9-13-15 by 27/26 bihexany: Difference between revisions

[[File:3-9-13-15_by_27-26_Bihexany.png|thumb|Circle diagram.]] A [[13-limit]] [[bihexany]]. This creates a scale of 1 27/26 13/12 9/8 5/4 135/104 13/9 3/2 5/3 45/26 65/36 15/8 2/1, with steps of 27/26 169/162 27/26 10/9 27/26 1352/1215 27/26 10/9 27/26 169/162 27/26 16/15. This degree of offset divides the smallest steps in the [[3-9-13-15_hexany|base hexany]] near equally in two, while also cancelling out many factors to produce strings of simple ratios that are near the optimal size for melody. 6 notes have perfect fifths above them, although not all are mapped to 7 steps above their roots, and it can still be mapped to a standard 12 tone keyboard without any note deviating from 12edo by more than 100 cents, although the need to map 9/8 to Eb and 5/3 to Ab may be unintuitive to some players.

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