1-3-7-9-15 dekany

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A 15-odd-limit dekany. This creates a scale of 1 35/32 9/8 7/6 5/4 21/16 45/32 3/2 7/4 15/8 2/1, with steps of 35/32 36/35 28/27 15/14 21/20 15/14 16/15 7/6 15/14 16/15. This extends the basic archy scale of the 1-3-7-9 hexany into a 10 note scale with 6 perfect 5ths and multiple simple 5-limit chords, with no intervals smaller than a quarter-tone, making it harmonically excellent and melodically fairly good as well, although the fact that it does not reduce the size of the largest step means there is a noticeable gap on one side of the scale. If you want a 12 note scale that contains all these notes plus an extra couple to fill the whole keyboard with, there is the 1-3-7-9 by 5/4 bihexany.

Circle diagram.
! 1-3-7-9-15_Dekany.scl
!
1 3 7 9 15 2-combination Dekany
10
!
155.139
203.910
266.871
386.313
470.781
590.223
701.955
968.825
1088.268
1200

Suggested keyboard mapping: Start on A, skipping the F and Gb notes.