3-5-7-9-11-13-15 enaeikosany

From Xenharmonic Wiki
Jump to navigation Jump to search
Circle diagram.

The most complex 15-odd-limit enaeikosany. This creates a scale of 1 21/20 13/12 11/10 9/8 7/6 143/120 5/4 77/60 13/10 11/8 7/5 3/2 91/60 13/8 33/20 7/4 9/5 11/6 39/20 2/1, with steps of 21/20 65/63 66/65 45/44 28/27 143/140 150/143 77/75 78/77 55/52 56/55 15/14 91/90 15/14 66/65 35/33 36/35 55/54 117/110 40/39. (3/2 appears twice as the reduced products of 3x15 and 5x9, reducing this to a 20 note scale) With 8 perfect fifths, plus several more imperfect but still diatonic ones, this is another fairly easy to use larger combination product set with plenty of consonant chords available as long as you pick the right notes in the close clusters.

! 3-5-7-9-11-13-15_Enaeikosany.scl
!
3 5 7 9 11 13 15 2-combination Enaeikosany
20
!
84.467
138.572
165.004
203.910
266.871
303.576
386.313
431.875
454.213
551.317
582.512
701.955
721.084
840.527
866.959
968.825
1017.596
1049.362
1156.168
1200