1-5-7-9-11-15 eikosany

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A 15-odd-limit eikosany. This creates a scale of 1 33/32 15/14 11/10 9/8 33/28 135/112 99/80 9/7 297/224 11/8 99/70 165/112 3/2 11/7 27/16 99/56 9/5 15/8 27/14 2/1, with steps of 33/32 80/77 77/75 45/44 22/21 45/44 77/75 80/77 33/32 28/27 36/35 25/24 56/55 22/21 189/176 22/21 56/55 25/24 36/35 28/27. With no steps smaller than 30 cents, and only one larger than 100, this is a quite evenly distributed eikosany with many consonant chords. It has 8 perfect fifths, plus an additional 6 that are imperfect but still within the diatonic range, giving you plenty of freedom to modulate and create chord sequences with many subtle variants.

Circle diagram.
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1 5 7 9 11 15 3-combination Eikosany
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53.272
119.442
165.004
203.910
284.447
323.352
368.914
435.084
488.357
551.317
600.088
670.760
701.955
782.492
905.865
986.402
1017.596
1088.268
1137.039
1200