1-3-5-7-9-11 eikosany

The simplest possible eikosany, comprised of three-combination sum products of the first 6 odd numbers. This creates a scale of 1 33/32 21/20 11/10 9/8 7/6 99/80 77/60 21/16 11/8 7/5 231/160 3/2 63/40 77/48 33/20 7/4 9/5 11/6 77/40 2/1, with steps of 33/32 56/55 22/21 45/44 28/27 297/280 28/27 45/44 22/21 56/55 33/32 80/77 21/20 55/54 36/35 35/33 36/35 55/54 21/20 80/77. With largest steps of slightly over 100 cents and smallest ones of 31 cents, this is actually fairly optimal melodically for the number of notes it has and contains many simple familiar chords, making it a good introduction to larger just intonation scales, but is still a significant step upwards in complexity compared to using 12edo and requires a custom instrument to play ergonomically, making it much harder to work in than a hexany or dekany.

Circle diagram.

! 1-3-5-7-9-11_Eikosany.scl
!
1 3 5 7 9 11 3-combination Eikosany
15
!
53.272
84.467
165.004
203.910
266.870
368.914
431.875
470.780
551.317
582.512
635.785
701.955
786.422
818.188
866.959
968.825
1017.596
1049.362
1133.830
1200