3-5-11-15 by 21/11 bihexany

An 11-limit bihexany. This creates a scale of 1 21/20 11/10 105/88 5/4 21/16 11/8 63/44 3/2 7/4 11/6 21/11 2/1, with steps of 21/20 22/21 525/484 22/21 21/20 22/21 126/121 22/21 7/6 22/21 126/121 22/21. Since half the steps in the base hexany have 11 as the numerator, this cancels out those factors to produce a string of simple ratios that fit neatly in the gaps between the smallest steps, producing long strings of approximately 80 cent semitones that are highly effective melodically, separated by a couple of larger gaps. It does only have four perfect fifths though, and these are all clustered in one quarter of the scale, making this a heavily modal scale that is excellent melodically but not able to modulate to produce chord sequences in the way that ones based on chains of fifths are.

Circle diagram.

! 3-5-11-15_by_22/11_Bihexany.scl
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3 5 11 15 by 21/11 2-combination Bihexany
12
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84.467
165.004
305.776
386.313
470.781
551.317
621.417
701.955
968.825
1049.362
1119.462
1200