1-3-5-7-9-13 eikosany

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Circle diagram.

The second simplest possible eikosany. This creates a scale of 1 21/20 13/12 9/8 91/80 7/6 39/32 13/10 21/16 7/5 117/80 3/2 91/60 63/40 13/8 273/160 7/4 9/5 91/48 39/20, with steps of 21/20 65/63 27/26 91/90 40/39 117/112 16/15 105/104 16/15 117/112 40/39 91/90 27/26 65/63 21/20 40/39 36/35 455/432 36/35 40/39. With several large steps around its line of symmetry and three microsteps that blur into their neighbours, this is definitely more uneven than the simplest eikosany, but still has more than enough perfect fifths and major thirds that you can compose non-xenharmonic sounding music using the right subset of it.

! 1-3-5-7-9-13_Eikosany.scl
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1 3 5 7 9 13 3-combination Eikosany
20
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84.467
138.572
203.910
223.039
266.871
342.482
454.213
470.781
582.512
658.123
701.955
721.084
786.422
840.527
924.994
968.825
1017.596
1107.398
1156.168
1200