1-5-7-9-11-13 eikosany
A 13-odd-limit eikosany. This creates a scale of 1 143/140 117/112 11/10 9/8 1287/1120 99/80 143/112 9/7 13/10 11/8 99/70 117/80 11/7 13/8 117/70 99/56 143/80 9/5 13/7 2/1, with steps of 143/140 45/44 616/585 45/44 143/140 14/13 65/63 144/143 91/90 55/52 36/35 91/88 880/819 91/88 36/35 55/52 91/90 144/143 65/63 14/13. This is the simplest eikosany that does not have any perfect fifths, although at this density of notes, there are several reasonable approximations: a 5 cent sharp one between 117/112 & 11/7, a 0.8 cent sharp one between 99/80 & 13/7 and another 5 cent sharp one between 117/80 & 11/10. This means it does have more than one stable rooting point that gives it compositional possibilities beyond modal droning or unmoored chaos, and of course there are many interesting melodic options available with this many notes to choose from.
! 1-5-7-9-11-13_Eikosany.scl ! 1 5 7 9 11 13 3-combination Eikosany 20 ! 36.705 75.611 165.004 203.910 240.615 368.914 423.019 435.084 454.213 551.317 600.088 658.123 782.492 840.527 889.298 986.402 1005.531 1017.596 1071.701 1200