1-3-7-9-11-15 eikosany

A 15-odd-limit eikosany. This creates a scale of 1 33/32 15/14 495/448 9/8 33/28 135/112 5/4 9/7 11/8 45/32 165/112 3/2 11/7 45/28 55/32 99/56 11/6 15/8 55/28 2/1, with steps of 33/32 80/77 33/32 56/55 22/21 45/44 28/27 36/35 77/72 45/44 22/21 56/55 22/21 45/44 77/72 36/35 28/27 45/44 22/21 56/55. With no steps larger than 120 cents or smaller than 30 cents, this is melodically excellent for its number of notes and quite harmonically strong as well. 12 of the notes have perfect fifths above them and due to the note density, all of them have multiple thirds and sevenths of various kinds to construct chords with.

Circle diagram.
! 1-3-7-9-11-15_Eikosany.scl
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1 3 7 9 11 15 3-combination Eikosany
20
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53.272
119.442
172.715
203.910
284.447
323.352
386.313
435.084
551.317
590.223
670.760
701.955
782.492
821.397
937.631
986.402
1049.362
1088.268
1168.805
1200