1-3-5-7-9-11-15 pentatriandekany
The second simplest possible pentatriandekany. This creates a scale of 1 33/32 21/20 35/32 11/10 9/8 7/6 77/64 99/80 5/4 77/60 21/16 11/8 7/5 45/32 231/160 3/2 99/64 63/40 77/48 33/20 27/16 55/32 7/4 9/5 11/6 15/8 77/40 63/32 2/1, with steps of 33/32 56/55 25/24 176/175 45/44 28/27 33/32 36/35 100/99 77/75 45/44 22/21 56/55 225/224 77/75 80/77 33/32 56/55 55/54 36/35 45/44 55/54 56/55 36/35 55/54 45/44 77/75 45/44 64/63. 6 of the notes are duplicated, reducing this to a 29 note scale. There are a couple of anomalously small steps that blur into their neighbours, but like the corresponding enaeikosany, this is otherwise quite even and easy to use for a scale of this size. 18 of the notes have perfect fifths above them, plus at this density of notes there are plenty more imperfect but still diatonic ones to exploit to create and release tension.
! 1-3-5-7-9-11-15_Pentatriandekany.scl ! 1 3 5 7 9 11 15 3-combination Pentatriandekany 35 ! 53.272 84.467 155.139 165.004 203.910 266.871 320.143 368.914 386.313 431.875 470.781 551.317 582.512 590.223 635.785 701.955 755.227 786.422 818.188 866.959 905.865 937.631 968.825 1017.596 1049.362 1088.268 1133.830 1172.735 1200