1-3-5-7-13-15 eikosany

A 15-odd-limit eikosany. This creates a scale of 1 65/64 13/12 35/32 91/80 7/6 39/32 5/4 13/10 21/16 7/5 91/64 3/2 91/60 13/8 7/4 15/8 91/48 2/1, with steps of 65/64 16/15 105/104 26/25 40/39 117/112 40/39 26/25 105/104 16/15 65/64 96/91 91/90 15/14 14/13 15/14 91/90 96/91. (7/4 and 13/8 appear twice, reducing this to an 18 note scale.) This is noticeably clustered on one side, with many variants of the same note separated by small commas that would conflate them in a regular temperament. However, it does still have 7 perfect 5ths and covers a substantial part of the harmonic sequence, so it is still entirely possible to compose consonant music with it. In addition, at 18 notes, this is easier to keep track of than most large scales when mapped a regular keyboard because the notes are on the same key every other octave, although your range will still be somewhat compressed.

Circle diagram.

! 1-3-5-7-13-15_Eikosany.scl
!
1 3 5 7 13 15 3-combination Eikosany
18
!
26.841
138.572
155.139
223.039
266.871
342.482
386.313
454.213
470.781
582.512
609.353
701.955
721.084
840.527
968.825
1088.268
1107.398
1200