3-5-7-11-13 dekany

The simplest Dekany comprised entirely out of prime numbers. This creates a scale of 1 13/12 11/10 7/6 143/120 77/60 13/10 7/5 91/60 11/6 2/1, with steps of 13/12 66/65 35/33 143/140 154/143 78/77 14/13 13/12 110/91 12/11. While it does hit many simple composite intervals, as it has no factors of 2 in it, it is completely devoid of any pure harmonics, making for a very xenharmonic sound overall. It it also very lopsided, with multiple tiny intervals and a gap of over 300 cents near the end. The closest thing to a perfect fifth is the 91/90 sharp one above the root, which is indistinguishable from a 5edo one.

Circle diagram.

! 3-5-7-11-13_Dekany.scl
!
3 5 7 11 13 2-combination Dekany
10
!
138.572
165.004
266.871
303.576
431.875
454.213
582.512
721.084
1049.362
1200

Suggested keyboard mapping: Start on C, skip the A and Bb notes.