12L 7s

↖ 11L 6s	↑ 12L 6s	13L 6s ↗
← 11L 7s	12L 7s	13L 7s →
↙ 11L 8s	↓ 12L 8s	13L 8s ↘

┌╥╥┬╥╥┬╥╥┬╥┬╥╥┬╥╥┬╥┬┐ │║║│║║│║║│║│║║│║║│║││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLLsLsLLsLLsLs sLsLLsLLsLsLLsLLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\19 to 7\12 (694.7 ¢ to 700.0 ¢)
Dark	5\12 to 8\19 (500.0 ¢ to 505.3 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	7L 5s
Sister	7L 12s
Daughters	19L 12s, 12L 19s
Neutralized	5L 14s
2-Flought	31L 7s, 12L 26s
Equal tunings
Equalized (L:s = 1:1)	11\19 (694.7 ¢)
Supersoft (L:s = 4:3)	40\69 (695.7 ¢)
Soft (L:s = 3:2)	29\50 (696.0 ¢)
Semisoft (L:s = 5:3)	47\81 (696.3 ¢)
Basic (L:s = 2:1)	18\31 (696.8 ¢)
Semihard (L:s = 5:2)	43\74 (697.3 ¢)
Hard (L:s = 3:1)	25\43 (697.7 ¢)
Superhard (L:s = 4:1)	32\55 (698.2 ¢)
Collapsed (L:s = 1:0)	7\12 (700.0 ¢)

12L 7s, also called m-enharmonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 7 small steps, repeating every octave. 12L 7s is a grandchild scale of 5L 2s, expanding it by 12 tones. Generators that produce this scale range from 694.7 ¢ to 700 ¢, or from 500 ¢ to 505.3 ¢.

Temperaments associated with this scale include meantone, as the meantone enharmonic scale.

Modes

Modes of 12L 7s

UDP	Cyclic order	Step pattern
18|0	1	LLsLLsLLsLsLLsLLsLs
17|1	12	LLsLLsLsLLsLLsLLsLs
16|2	4	LLsLLsLsLLsLLsLsLLs
15|3	15	LLsLsLLsLLsLLsLsLLs
14|4	7	LLsLsLLsLLsLsLLsLLs
13|5	18	LsLLsLLsLLsLsLLsLLs
12|6	10	LsLLsLLsLsLLsLLsLLs
11|7	2	LsLLsLLsLsLLsLLsLsL
10|8	13	LsLLsLsLLsLLsLLsLsL
9|9	5	LsLLsLsLLsLLsLsLLsL
8|10	16	LsLsLLsLLsLLsLsLLsL
7|11	8	LsLsLLsLLsLsLLsLLsL
6|12	19	sLLsLLsLLsLsLLsLLsL
5|13	11	sLLsLLsLsLLsLLsLLsL
4|14	3	sLLsLLsLsLLsLLsLsLL
3|15	14	sLLsLsLLsLLsLLsLsLL
2|16	6	sLLsLsLLsLLsLsLLsLL
1|17	17	sLsLLsLLsLLsLsLLsLL
0|18	9	sLsLLsLLsLsLLsLLsLL

Intervals

Intervals of 12L 7s

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 63.2 ¢
	Major 1-mosstep	M1ms	L	63.2 ¢ to 100.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	100.0 ¢ to 126.3 ¢
	Major 2-mosstep	M2ms	2L	126.3 ¢ to 200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	100.0 ¢ to 189.5 ¢
	Major 3-mosstep	M3ms	2L + s	189.5 ¢ to 200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	200.0 ¢ to 252.6 ¢
	Major 4-mosstep	M4ms	3L + s	252.6 ¢ to 300.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	300.0 ¢ to 315.8 ¢
	Major 5-mosstep	M5ms	4L + s	315.8 ¢ to 400.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	300.0 ¢ to 378.9 ¢
	Major 6-mosstep	M6ms	4L + 2s	378.9 ¢ to 400.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	4L + 3s	400.0 ¢ to 442.1 ¢
	Major 7-mosstep	M7ms	5L + 2s	442.1 ¢ to 500.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	5L + 3s	500.0 ¢ to 505.3 ¢
	Augmented 8-mosstep	A8ms	6L + 2s	505.3 ¢ to 600.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	5L + 4s	500.0 ¢ to 568.4 ¢
	Major 9-mosstep	M9ms	6L + 3s	568.4 ¢ to 600.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	6L + 4s	600.0 ¢ to 631.6 ¢
	Major 10-mosstep	M10ms	7L + 3s	631.6 ¢ to 700.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	6L + 5s	600.0 ¢ to 694.7 ¢
	Perfect 11-mosstep	P11ms	7L + 4s	694.7 ¢ to 700.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	7L + 5s	700.0 ¢ to 757.9 ¢
	Major 12-mosstep	M12ms	8L + 4s	757.9 ¢ to 800.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	8L + 5s	800.0 ¢ to 821.1 ¢
	Major 13-mosstep	M13ms	9L + 4s	821.1 ¢ to 900.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	8L + 6s	800.0 ¢ to 884.2 ¢
	Major 14-mosstep	M14ms	9L + 5s	884.2 ¢ to 900.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	9L + 6s	900.0 ¢ to 947.4 ¢
	Major 15-mosstep	M15ms	10L + 5s	947.4 ¢ to 1000.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	10L + 6s	1000.0 ¢ to 1010.5 ¢
	Major 16-mosstep	M16ms	11L + 5s	1010.5 ¢ to 1100.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	10L + 7s	1000.0 ¢ to 1073.7 ¢
	Major 17-mosstep	M17ms	11L + 6s	1073.7 ¢ to 1100.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	11L + 7s	1100.0 ¢ to 1136.8 ¢
	Major 18-mosstep	M18ms	12L + 6s	1136.8 ¢ to 1200.0 ¢
19-mosstep	Perfect 19-mosstep	P19ms	12L + 7s	1200.0 ¢