1-3-5-7-9-11-13-15 hexapenindasany

The simplest possible hexapenindasany, comprised of three-combination sum products of the first 8 odd numbers. This creates a scale of 1 65/64 33/32 1001/960 21/20 13/12 35/32 11/10 143/128 9/8 91/80 7/6 143/120 77/64 39/32 99/80 5/4 77/60 13/10 21/16 429/320 11/8 7/5 45/32 91/64 231/160 117/80 143/96 3/2 91/60 99/64 63/40 77/48 13/8 33/20 27/16 273/160 55/32 7/4 143/80 9/5 117/64 11/6 15/8 91/48 77/40 39/20 63/32 2/1, with steps of 65/64 66/65 91/90 144/143 65/63 105/104 176/175 65/64 144/143 91/90 40/39 143/140 105/104 78/77 66/65 100/99 77/75 78/77 105/104 143/140 40/39 56/55 225/224 91/90 66/65 78/77 55/54 144/143 91/90 1485/1456 56/55 55/54 78/77 66/65 55/54 91/90 275/273 56/55 143/140 144/143 65/64 352/351 45/44 91/90 66/65 78/77 105/104 64/63. (8 notes are duplicated, reducing it from a 56 note scale to a 48 note one.) No notes are larger than a quartertone and many are considerably smaller, so there are no major gaps that might impede your ability to compose whatever you hear in your head as long as you have an instrument capable of playing the full gamut. However, the number of notes does make this challenging to not only play, but even represent, with the scale circle generator struggling to show all the ratios without them blurring into one-another even on the most extreme settings. As such, this approaches the limits of what it makes sense to catalog in this field of scales.

! 1-3-5-7-9-11-13-15_Hexapenindasany.scl
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1 3 5 7 9 11 13 15 3-combination Hexapenindasany
48
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26.841
53.272
72.402
84.467
138.572
155.139
165.004
191.845
203.910
223.039
266.871
303.576
320.143
342.482
368.914
386.313
431.875
454.213
470.781
507.486
551.317
582.512
590.223
609.353
635.785
658.123
689.890
701.955
721.084
755.227
786.422
818.188
840.527
866.959
905.865
924.994
937.631
968.825
1005.531
1017.596
1044.437
1049.362
1088.268
1107.398
1133.830
1156.168
1172.736
1200