1-3-5-7-11-13 pentadekany
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A 13-odd-limit pentadekany. This creates a scale of 1 13/12 55/48 7/6 5/4 65/48 11/8 35/24 143/96 77/48 13/8 5/3 7/4 11/6 91/48 2/1, with steps of 13/12 55/52 56/55 15/14 13/12 66/65 35/33 143/140 14/13 78/77 40/39 21/20 22/21 91/88 96/91. This has five perfect fifths, plus several more imperfect ones, including a 12 cent flat one above the root, which gives it some familiar chords, but none of them connect to one-another via chains of fifths and there are many highly xenharmonic combinations of notes as well, which you are more likely to hit if you just play around randomly in this scale.
! 1-3-5-7-11-13_Pentadekany.scl ! 1 3 5 7 11 13 2-combination Pentadekany 15 ! 138.572 235.676 266.871 386.313 524.886 551.317 653.184 689.890 818.188 840.527 884.358 968.825 1049.362 1107.398 1200