17L 12s

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↖ 16L 11s ↑ 17L 11s 18L 11s ↗
← 16L 12s 17L 12s 18L 12s →
↙ 16L 13s ↓ 17L 13s 18L 13s ↘
┌╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬┐
│║║│║│║║│║│║║│║│║│║║│║│║║│║│║││
│││││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLLsLsLLsLsLsLLsLsLLsLsLs
sLsLsLLsLsLLsLsLsLLsLsLLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\29 to 10\17 (703.4 ¢ to 705.9 ¢)
Dark 7\17 to 12\29 (494.1 ¢ to 496.6 ¢)
TAMNAMS information
Related to 5L 2s (diatonic)
With tunings 5:2 to 3:1 (quasihard)
Related MOS scales
Parent 12L 5s
Sister 12L 17s
Daughters 29L 17s, 17L 29s
Neutralized 5L 24s
2-Flought 46L 12s, 17L 41s
Equal tunings
Equalized (L:s = 1:1) 17\29 (703.4 ¢)
Supersoft (L:s = 4:3) 61\104 (703.8 ¢)
Soft (L:s = 3:2) 44\75 (704.0 ¢)
Semisoft (L:s = 5:3) 71\121 (704.1 ¢)
Basic (L:s = 2:1) 27\46 (704.3 ¢)
Semihard (L:s = 5:2) 64\109 (704.6 ¢)
Hard (L:s = 3:1) 37\63 (704.8 ¢)
Superhard (L:s = 4:1) 47\80 (705.0 ¢)
Collapsed (L:s = 1:0) 10\17 (705.9 ¢)

17L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 12 small steps, repeating every octave. 17L 12s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 703.4 ¢ to 705.9 ¢, or from 494.1 ¢ to 496.6 ¢. This mos, belonging to the leapday temperament, is generated by taking a chain of 29 fifths tempered 1.49 to 3.93 cents sharp. That is to say, its region includes all linear combinations of 17edo and 29edo and divides at 80edo into Margo Schulter's gentle region extending down to 29edo and a yet-unnamed region extending up to 17edo.

Scale tree

Template:Scale tree