3-5-7-11-13-15 pentadekany

A 15-odd-limit pentadekany. This creates a scale of 1 13/12 11/10 7/6 143/120 5/4 77/60 13/10 11/8 7/5 3/2 91/60 13/8 7/4 11/6 2/1, with steps of 13/12 66/65 35/33 143/140 150/143 77/75 78/77 55/52 56/55 15/14 91/90 15/14 14/13 22/21 12/11. This has 4 perfect fifths, plus an additional one flat by 105/104, but they are all on one side of the scale, limiting your ability to construct chord sequences. It does have an excellent selection of thirds though, covering subminor, minor, major, supermajor and ultramajor above the root and similar variety on adjacent notes, giving you a lot of scope for shifting moods by changing the upper harmony while remaining on the same tonal centre.

Circle diagram.

! 3-5-7-11-13-15_Pentadekany.scl
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3 5 7 11 13 15 2-combination Pentadekany
15
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138.572
165.004
266.871
303.576
386.313
431.875
454.213
551.317
582.512
701.955
721.084
840.527
968.825
1049.362
1200