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 ¢)
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12L 7s 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 ¢

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

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
			47\81			696.296	503.704	5:3	1.667	Semisoft 12L 7s
					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
					104\179	697.207	502.793	12:5	2.400
			43\74			697.297	502.703	5:2	2.500	Semihard 12L 7s
					111\191	697.382	502.618	13:5	2.600
				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
					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