3-5-9-11-13-15 eikosany
A 15-odd-limit eikosany. This creates a scale of 1 13/12 11/10 143/120 11/9 5/4 13/10 143/108 11/8 13/9 3/2 55/36 143/90 13/8 5/3 65/36 11/6 143/72 2/1, with steps of 13/12 66/65 13/12 40/39 45/44 26/25 55/54 27/26 104/99 27/26 55/54 26/25 45/44 40/39 13/12 66/65 13/12 144/143. (11/6 and 13/12 appear twice, reducing it to an 18 note scale) This is an extremely lopsided eikosany contaning tiny comma steps and large gaps on one side of the scale and a more even fan of notes on the other. It has 8 perfect fifths, plus plenty of additional imperfect ones due to all the comma steps and it is not impossible to construct consonant chords in it, but melodically it is very xenharmonic, with the two sides of the scale obviously distinct to even untrained ears.
! 3-5-9-11-13-15_Eikosany.scl ! 3 5 9 11 13 15 3-combination Eikosany 18 ! 138.572 165.004 303.576 347.407 386.313 454.213 485.980 551.317 636.617 701.955 733.721 801.621 840.527 884.358 1022.931 1049.362 1187.935 1200