1-5-7-13-15 dekany

A 15-odd-limit dekany. This creates a scale of 1 91/80 39/32 13/10 21/16 7/5 3/2 13/8 7/4 15/8 2/1, with steps of 91/80 15/14 16/15 105/104 16/15 15/14 13/12 14/13 15/14 16/15. Like several other combination product sets using the same prime subgroup, this is a detemper of the 1L 8s scale of negri, a chain of superparticular ratios between 13/12 and 16/15 plus a single microtone separating two notes that would be conflated in the regular temperament. Since this one neatly puts the harmonic sequence 12:13:14:15:16 above the root, and has two other perfect fifths plus an additional one that is flat by a marvel comma, it is a quite solid scale that shows plenty of compositional potential and is easily mapped to a regular keyboard despite having several very obviously xenharmonic intervals.

Circle diagram.

! 1-5-7-13-15_Dekany.scl
!
1 5 7 13 15 2-combination Dekany
10
!
223.039
342.482
454.213
470.781
582.512
701.955
840.527
968.825
1088.268
1200

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