1-7-9-11-13-15 eikosany

A 15-odd-limit eikosany. This creates a scale of 1 715/672 15/14 143/126 55/48 11/9 143/112 55/42 65/48 11/8 13/9 165/112 65/42 11/7 13/8 5/3 195/112 13/7 15/8 143/72 2/1, with steps of 715/672 144/143 143/135 105/104 16/15 117/112 40/39 91/88 66/65 104/99 1485/1456 104/99 66/65 91/88 40/39 117/112 16/15 105/104 143/135 144/143. With no perfect fifths and only two recognisably diatonic ones, this is a highly xenharmonic scale with many dissonant clusters of notes and very challenging to work with.

Circle diagram.

! 1-7-9-11-13-15_Eikosany.scl
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1 7 9 11 13 15 3-combination Eikosany
20
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107.378
119.442
219.109
235.676
347.407
423.019
466.850
524.886
551.317
636.617
670.760
756.060
782.492
840.527
884.358
959.970
1071.701
1088.268
1187.935
1200