3-5-7-15 stellated hexany

A 7-limit Stellated Hexany. This creates a scale of 1 35/32 7/6 75/64 5/4 175/128 35/24 25/16 105/64 5/3 7/4 15/8 2/1, with steps of 35/32 16/15 225/224 16/15 35/32 16/15 15/14 21/20 64/63 21/20 15/14 16/15. (5/4 and 35/24 each appear twice as the reduced products of 15 & 3x5 and 7x15 & 3x5x7). Due to the repeated notes, this can be mapped onto a standard keyboard. Unlike the base hexany, this does not put a 3/2 above the root and so is best used in a rotated mode that has the greatest number of simple ratios. It does have 6 perfect fifths and a decent number of highly consonant chords, but it also has two comma sized steps that are well below useful size for melody, making it not particularly optimal as a 12-note scale.

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3 5 7 15 1-3 combination Hexany
12
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155.139
266.870
274.582
386.313
541.453
653.184
772.627
857.094
884.358
968.825
1088.268
1200