1-3-5-7-9-15 pentadekany
The simplest possible 15-odd-limit pentadekany. This creates a scale of 1 35/32 9/8 7/6 5/4 21/16 45/32 35/24 3/2 25/16 5/3 7/4 15/8 2/1, with steps of 35/32 36/35 28/27 15/14 21/20 15/14 28/27 36/35 25/24 16/15 21/20 15/14 16/15. As with hexanies and dekanies, the 15-odd limit is where we start to see combination product sets with duplicated notes. (5/4 and 15/8 both appear twice here, reducing it to a 13 note scale.) This does at least mean there are no intervals smaller than a quartertone and many simple chords available, but there are still more notes than can fit on a standard keyboard, requiring you to either leave one out to map it in a regular fashion or get used to each note being in a different place as you move from one octave to another.
! 1-3-5-7-9-15_Pentadekany.scl ! 1 3 5 7 9 15 2-combination Pentadekany 13 ! 155.139 203.910 266.871 386.313 470.781 590.223 653.184 701.955 772.627 884.358 968.825 1088.268 1200