12L 17s

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

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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.

Intervals

Intervals of 12L 17s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 41.4 ¢
	Major 1-mosstep	M1ms	L	41.4 ¢ to 100.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 82.8 ¢
	Major 2-mosstep	M2ms	L + s	82.8 ¢ to 100.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	100.0 ¢ to 124.1 ¢
	Major 3-mosstep	M3ms	2L + s	124.1 ¢ to 200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	100.0 ¢ to 165.5 ¢
	Major 4-mosstep	M4ms	2L + 2s	165.5 ¢ to 200.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	200.0 ¢ to 206.9 ¢
	Major 5-mosstep	M5ms	3L + 2s	206.9 ¢ to 300.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	200.0 ¢ to 248.3 ¢
	Major 6-mosstep	M6ms	3L + 3s	248.3 ¢ to 300.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	200.0 ¢ to 289.7 ¢
	Major 7-mosstep	M7ms	3L + 4s	289.7 ¢ to 300.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	300.0 ¢ to 331.0 ¢
	Major 8-mosstep	M8ms	4L + 4s	331.0 ¢ to 400.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	3L + 6s	300.0 ¢ to 372.4 ¢
	Major 9-mosstep	M9ms	4L + 5s	372.4 ¢ to 400.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	400.0 ¢ to 413.8 ¢
	Major 10-mosstep	M10ms	5L + 5s	413.8 ¢ to 500.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	4L + 7s	400.0 ¢ to 455.2 ¢
	Major 11-mosstep	M11ms	5L + 6s	455.2 ¢ to 500.0 ¢
12-mosstep	Diminished 12-mosstep	d12ms	4L + 8s	400.0 ¢ to 496.6 ¢
	Perfect 12-mosstep	P12ms	5L + 7s	496.6 ¢ to 500.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	5L + 8s	500.0 ¢ to 537.9 ¢
	Major 13-mosstep	M13ms	6L + 7s	537.9 ¢ to 600.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	5L + 9s	500.0 ¢ to 579.3 ¢
	Major 14-mosstep	M14ms	6L + 8s	579.3 ¢ to 600.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	6L + 9s	600.0 ¢ to 620.7 ¢
	Major 15-mosstep	M15ms	7L + 8s	620.7 ¢ to 700.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	6L + 10s	600.0 ¢ to 662.1 ¢
	Major 16-mosstep	M16ms	7L + 9s	662.1 ¢ to 700.0 ¢
17-mosstep	Perfect 17-mosstep	P17ms	7L + 10s	700.0 ¢ to 703.4 ¢
	Augmented 17-mosstep	A17ms	8L + 9s	703.4 ¢ to 800.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	7L + 11s	700.0 ¢ to 744.8 ¢
	Major 18-mosstep	M18ms	8L + 10s	744.8 ¢ to 800.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	7L + 12s	700.0 ¢ to 786.2 ¢
	Major 19-mosstep	M19ms	8L + 11s	786.2 ¢ to 800.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	8L + 12s	800.0 ¢ to 827.6 ¢
	Major 20-mosstep	M20ms	9L + 11s	827.6 ¢ to 900.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	8L + 13s	800.0 ¢ to 869.0 ¢
	Major 21-mosstep	M21ms	9L + 12s	869.0 ¢ to 900.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	9L + 13s	900.0 ¢ to 910.3 ¢
	Major 22-mosstep	M22ms	10L + 12s	910.3 ¢ to 1000.0 ¢
23-mosstep	Minor 23-mosstep	m23ms	9L + 14s	900.0 ¢ to 951.7 ¢
	Major 23-mosstep	M23ms	10L + 13s	951.7 ¢ to 1000.0 ¢
24-mosstep	Minor 24-mosstep	m24ms	9L + 15s	900.0 ¢ to 993.1 ¢
	Major 24-mosstep	M24ms	10L + 14s	993.1 ¢ to 1000.0 ¢
25-mosstep	Minor 25-mosstep	m25ms	10L + 15s	1000.0 ¢ to 1034.5 ¢
	Major 25-mosstep	M25ms	11L + 14s	1034.5 ¢ to 1100.0 ¢
26-mosstep	Minor 26-mosstep	m26ms	10L + 16s	1000.0 ¢ to 1075.9 ¢
	Major 26-mosstep	M26ms	11L + 15s	1075.9 ¢ to 1100.0 ¢
27-mosstep	Minor 27-mosstep	m27ms	11L + 16s	1100.0 ¢ to 1117.2 ¢
	Major 27-mosstep	M27ms	12L + 15s	1117.2 ¢ to 1200.0 ¢
28-mosstep	Minor 28-mosstep	m28ms	11L + 17s	1100.0 ¢ to 1158.6 ¢
	Major 28-mosstep	M28ms	12L + 16s	1158.6 ¢ to 1200.0 ¢
29-mosstep	Perfect 29-mosstep	P29ms	12L + 17s	1200.0 ¢