3-5-9-11-15 dekany
A 15-odd-limit dekany. This creates a scale of 1 11/10 9/8 5/4 11/8 3/2 33/20 9/5 11/6 2/1, with steps of 11/10 45/44 10/9 11/10 12/11 11/10 12/11 55/54 12/11. (3/2 appears twice as the reduced product of 3x15 and 5x9) Like many combination product sets in the 2.3.5.11 subgroup, this has a shape similar to porcupine scales, a near equal heptatonic scale of 10/9's 11/10's and 12/11's with a few comma sized steps filling in the gaps and differentiating notes that would be tempered together in a linear temperament. As it has many simple intervals, including four perfect fifths and the harmonic sequence 8:9:10:11:12 above the root, this is quite good despite the repeated note and multiple microtones, with no major gaps in the scale and plenty of compositional potential.
! 3-5-9-11-15_Dekany.scl ! 3 5 9 11 15 2-combination Dekany 9 ! 165.004 203.910 386.313 551.317 701.955 866.959 1017.596 1049.362 1200
Suggested keyboard mapping: Start on C, Skipping the Eb, Gb and Ab notes.