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.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 12L 7s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
11\19						694.737	505.263	1:1	1.000	Equalized 12L 7s
					62\107	695.327	504.673	6:5	1.200
				51\88		695.455	504.545	5:4	1.250
					91\157	695.541	504.459	9:7	1.286
			40\69			695.652	504.348	4:3	1.333	Supersoft 12L 7s
					109\188	695.745	504.255	11:8	1.375
				69\119		695.798	504.202	7:5	1.400
					98\169	695.858	504.142	10:7	1.429
		29\50				696.000	504.000	3:2	1.500	Soft 12L 7s
					105\181	696.133	503.867	11:7	1.571
				76\131		696.183	503.817	8:5	1.600
					123\212	696.226	503.774	13:8	1.625	Golden meantone (696.2145¢);
			47\81			696.296	503.704	5:3	1.667	Semisoft 12L 7s Meantone / meanpop;
					112\193	696.373	503.627	12:7	1.714
				65\112		696.429	503.571	7:4	1.750
					83\143	696.503	503.497	9:5	1.800
	18\31					696.774	503.226	2:1	2.000	Basic 12L 7s Scales with tunings softer than this are proper
					79\136	697.059	502.941	9:4	2.250
				61\105		697.143	502.857	7:3	2.333	Meantone / huygens;
					104\179	697.207	502.793	12:5	2.400
			43\74			697.297	502.703	5:2	2.500	Semihard 12L 7s Meantone / huygens / grosstone;
					111\191	697.382	502.618	13:5	2.600	Golden grosstone (697.3969¢);
				68\117		697.436	502.564	8:3	2.667
					93\160	697.500	502.500	11:4	2.750
		25\43				697.674	502.326	3:1	3.000	Hard 12L 7s Meantone / meridetone
					82\141	697.872	502.128	10:3	3.333
				57\98		697.959	502.041	7:2	3.500
					89\153	698.039	501.961	11:3	3.667
			32\55			698.182	501.818	4:1	4.000	Superhard 12L 7s
					71\122	698.361	501.639	9:2	4.500
				39\67		698.507	501.493	5:1	5.000
					46\79	698.734	501.266	6:1	6.000
7\12						700.000	500.000	1:0	→ ∞	Collapsed 12L 7s