12L 17s

↖ 11L 16s	↑ 12L 16s	13L 16s ↗
← 11L 17s	12L 17s	13L 17s →
↙ 11L 18s	↓ 12L 18s	13L 18s ↘

┌╥┬╥┬╥┬┬╥┬╥┬┬╥┬╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬┐ │║│║│║││║│║││║│║│║││║│║││║│║│││ │││││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLssLsLssLsLsLssLsLssLsLss ssLsLssLsLssLsLsLssLsLssLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	12\29 to 5\12 (496.6 ¢ to 500.0 ¢)
Dark	7\12 to 17\29 (700.0 ¢ to 703.4 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	2:1 to 5:2 (minihard)
Related MOS scales
Parent	12L 5s
Sister	17L 12s
Daughters	29L 12s, 12L 29s
Neutralized	24L 5s
2-Flought	41L 17s, 12L 46s
Equal tunings
Equalized (L:s = 1:1)	12\29 (496.6 ¢)
Supersoft (L:s = 4:3)	41\99 (497.0 ¢)
Soft (L:s = 3:2)	29\70 (497.1 ¢)
Semisoft (L:s = 5:3)	46\111 (497.3 ¢)
Basic (L:s = 2:1)	17\41 (497.6 ¢)
Semihard (L:s = 5:2)	39\94 (497.9 ¢)
Hard (L:s = 3:1)	22\53 (498.1 ¢)
Superhard (L:s = 4:1)	27\65 (498.5 ¢)
Collapsed (L:s = 1:0)	5\12 (500.0 ¢)

12L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 17 small steps, repeating every octave. 12L 17s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 496.6 ¢ to 500 ¢, or from 700 ¢ to 703.4 ¢. Its chroma-positive generator is a near-perfect fourth of no more than 5\12 (500 ¢), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.

Scale tree

12/29					496.552
				53/128	496.875
			41/99		496.97
				70/169	497.041
		29/70			497.143
					497.211
				75/181	497.238
					497.254
			46/111		497.297
					497.353
				63/152	497.368
	17/41				497.561
				56/135	497.778
			39/94		497.842
					497.935
				61/147	497.959
					497.985
		22/53			498.113
					498.178
				49/118	498.305
			27/65		498.4615
				32/77	498.701
5/12					500