10L 12s

↖ 9L 11s	↑ 10L 11s	11L 11s ↗
← 9L 12s	10L 12s	11L 12s →
↙ 9L 13s	↓ 10L 13s	11L 13s ↘

┌╥┬╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║││║│║│║│║│║│││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLsLsLssLsLsLsLsLss ssLsLsLsLsLssLsLsLsLsL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	2\22 to 1\10 (109.1¢ to 120.0¢)
Dark	4\10 to 9\22 (480.0¢ to 490.9¢)
TAMNAMS information
Descends from	2L 8s (jaric)
Ancestor's step ratio range	1:1 to 3:2 (soft)
Related MOS scales
Parent	10L 2s
Sister	12L 10s
Daughters	22L 10s, 10L 22s
Neutralized	20L 2s
2-Flought	32L 12s, 10L 34s
Equal tunings
Equalized (L:s = 1:1)	2\22 (109.1¢)
Supersoft (L:s = 4:3)	7\76 (110.5¢)
Soft (L:s = 3:2)	5\54 (111.1¢)
Semisoft (L:s = 5:3)	8\86 (111.6¢)
Basic (L:s = 2:1)	3\32 (112.5¢)
Semihard (L:s = 5:2)	7\74 (113.5¢)
Hard (L:s = 3:1)	4\42 (114.3¢)
Superhard (L:s = 4:1)	5\52 (115.4¢)
Collapsed (L:s = 1:0)	1\10 (120.0¢)

10L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 12 small steps, with a period of 5 large steps and 6 small steps that repeats every 600.0¢, or twice every octave. 10L 12s is a grandchild scale of 2L 8s, expanding it by 12 tones. Generators that produce this scale range from 109.1¢ to 120¢, or from 480¢ to 490.9¢.

Intervals

Intervals of 10L 12s

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 54.5¢
	Major 1-mosstep	M1ms	L	54.5¢ to 120.0¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0¢ to 109.1¢
	Perfect 2-mosstep	P2ms	L + s	109.1¢ to 120.0¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	120.0¢ to 163.6¢
	Major 3-mosstep	M3ms	2L + s	163.6¢ to 240.0¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	120.0¢ to 218.2¢
	Major 4-mosstep	M4ms	2L + 2s	218.2¢ to 240.0¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	240.0¢ to 272.7¢
	Major 5-mosstep	M5ms	3L + 2s	272.7¢ to 360.0¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	240.0¢ to 327.3¢
	Major 6-mosstep	M6ms	3L + 3s	327.3¢ to 360.0¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	360.0¢ to 381.8¢
	Major 7-mosstep	M7ms	4L + 3s	381.8¢ to 480.0¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	360.0¢ to 436.4¢
	Major 8-mosstep	M8ms	4L + 4s	436.4¢ to 480.0¢
9-mosstep	Perfect 9-mosstep	P9ms	4L + 5s	480.0¢ to 490.9¢
	Augmented 9-mosstep	A9ms	5L + 4s	490.9¢ to 600.0¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	480.0¢ to 545.5¢
	Major 10-mosstep	M10ms	5L + 5s	545.5¢ to 600.0¢
11-mosstep	Perfect 11-mosstep	P11ms	5L + 6s	600.0¢
12-mosstep	Minor 12-mosstep	m12ms	5L + 7s	600.0¢ to 654.5¢
	Major 12-mosstep	M12ms	6L + 6s	654.5¢ to 720.0¢
13-mosstep	Diminished 13-mosstep	d13ms	5L + 8s	600.0¢ to 709.1¢
	Perfect 13-mosstep	P13ms	6L + 7s	709.1¢ to 720.0¢
14-mosstep	Minor 14-mosstep	m14ms	6L + 8s	720.0¢ to 763.6¢
	Major 14-mosstep	M14ms	7L + 7s	763.6¢ to 840.0¢
15-mosstep	Minor 15-mosstep	m15ms	6L + 9s	720.0¢ to 818.2¢
	Major 15-mosstep	M15ms	7L + 8s	818.2¢ to 840.0¢
16-mosstep	Minor 16-mosstep	m16ms	7L + 9s	840.0¢ to 872.7¢
	Major 16-mosstep	M16ms	8L + 8s	872.7¢ to 960.0¢
17-mosstep	Minor 17-mosstep	m17ms	7L + 10s	840.0¢ to 927.3¢
	Major 17-mosstep	M17ms	8L + 9s	927.3¢ to 960.0¢
18-mosstep	Minor 18-mosstep	m18ms	8L + 10s	960.0¢ to 981.8¢
	Major 18-mosstep	M18ms	9L + 9s	981.8¢ to 1080.0¢
19-mosstep	Minor 19-mosstep	m19ms	8L + 11s	960.0¢ to 1036.4¢
	Major 19-mosstep	M19ms	9L + 10s	1036.4¢ to 1080.0¢
20-mosstep	Perfect 20-mosstep	P20ms	9L + 11s	1080.0¢ to 1090.9¢
	Augmented 20-mosstep	A20ms	10L + 10s	1090.9¢ to 1200.0¢
21-mosstep	Minor 21-mosstep	m21ms	9L + 12s	1080.0¢ to 1145.5¢
	Major 21-mosstep	M21ms	10L + 11s	1145.5¢ to 1200.0¢
22-mosstep	Perfect 22-mosstep	P22ms	10L + 12s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 10L 12s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\22						109.091	490.909	1:1	1.000	Equalized 10L 12s
					11\120	110.000	490.000	6:5	1.200
				9\98		110.204	489.796	5:4	1.250
					16\174	110.345	489.655	9:7	1.286
			7\76			110.526	489.474	4:3	1.333	Supersoft 10L 12s
					19\206	110.680	489.320	11:8	1.375
				12\130		110.769	489.231	7:5	1.400
					17\184	110.870	489.130	10:7	1.429
		5\54				111.111	488.889	3:2	1.500	Soft 10L 12s
					18\194	111.340	488.660	11:7	1.571
				13\140		111.429	488.571	8:5	1.600
					21\226	111.504	488.496	13:8	1.625
			8\86			111.628	488.372	5:3	1.667	Semisoft 10L 12s
					19\204	111.765	488.235	12:7	1.714
				11\118		111.864	488.136	7:4	1.750
					14\150	112.000	488.000	9:5	1.800
	3\32					112.500	487.500	2:1	2.000	Basic 10L 12s Scales with tunings softer than this are proper
					13\138	113.043	486.957	9:4	2.250
				10\106		113.208	486.792	7:3	2.333
					17\180	113.333	486.667	12:5	2.400
			7\74			113.514	486.486	5:2	2.500	Semihard 10L 12s
					18\190	113.684	486.316	13:5	2.600
				11\116		113.793	486.207	8:3	2.667
					15\158	113.924	486.076	11:4	2.750
		4\42				114.286	485.714	3:1	3.000	Hard 10L 12s
					13\136	114.706	485.294	10:3	3.333
				9\94		114.894	485.106	7:2	3.500
					14\146	115.068	484.932	11:3	3.667
			5\52			115.385	484.615	4:1	4.000	Superhard 10L 12s
					11\114	115.789	484.211	9:2	4.500
				6\62		116.129	483.871	5:1	5.000
					7\72	116.667	483.333	6:1	6.000
1\10						120.000	480.000	1:0	→ ∞	Collapsed 10L 12s

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