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.

Circle diagram.

! 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