10L 1s

← 9L 1s	10L 1s	11L 1s →
↙ 9L 2s	↓ 10L 2s	11L 2s ↘

Scale structure
Step pattern	LLLLLLLLLLs sLLLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\11 to 1\10 (109.1 ¢ to 120.0 ¢)
Dark	9\10 to 10\11 (1080.0 ¢ to 1090.9 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	1L 9s
Sister	1L 10s
Daughters	11L 10s, 10L 11s
Neutralized	9L 2s
2-Flought	21L 1s, 10L 12s
Equal tunings
Equalized (L:s = 1:1)	1\11 (109.1 ¢)
Supersoft (L:s = 4:3)	4\43 (111.6 ¢)
Soft (L:s = 3:2)	3\32 (112.5 ¢)
Semisoft (L:s = 5:3)	5\53 (113.2 ¢)
Basic (L:s = 2:1)	2\21 (114.3 ¢)
Semihard (L:s = 5:2)	5\52 (115.4 ¢)
Hard (L:s = 3:1)	3\31 (116.1 ¢)
Superhard (L:s = 4:1)	4\41 (117.1 ¢)
Collapsed (L:s = 1:0)	1\10 (120.0 ¢)
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10L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 1 small step, repeating every octave. 10L 1s is a child scale of 1L 9s, expanding it by 1 tones. Generators that produce this scale range from 109.1 ¢ to 120 ¢, or from 1080 ¢ to 1090.9 ¢. Scales of this form are always proper because there is only one small step. This MOS functions as the superdiatonic scale^{[clarification needed]} of Miracle temperment.

Modes

Modes of 10L 1s

UDP	Cyclic order	Step pattern
10|0	1	LLLLLLLLLLs
9|1	2	LLLLLLLLLsL
8|2	3	LLLLLLLLsLL
7|3	4	LLLLLLLsLLL
6|4	5	LLLLLLsLLLL
5|5	6	LLLLLsLLLLL
4|6	7	LLLLsLLLLLL
3|7	8	LLLsLLLLLLL
2|8	9	LLsLLLLLLLL
1|9	10	LsLLLLLLLLL
0|10	11	sLLLLLLLLLL

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 10L 1s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\11						109.091	1090.909	1:1	1.000	Equalized 10L 1s
					6\65	110.769	1089.231	6:5	1.200
				5\54		111.111	1088.889	5:4	1.250
					9\97	111.340	1088.660	9:7	1.286
			4\43			111.628	1088.372	4:3	1.333	Supersoft 10L 1s
					11\118	111.864	1088.136	11:8	1.375
				7\75		112.000	1088.000	7:5	1.400
					10\107	112.150	1087.850	10:7	1.429
		3\32				112.500	1087.500	3:2	1.500	Soft 10L 1s
					11\117	112.821	1087.179	11:7	1.571
				8\85		112.941	1087.059	8:5	1.600
					13\138	113.043	1086.957	13:8	1.625
			5\53			113.208	1086.792	5:3	1.667	Semisoft 10L 1s
					12\127	113.386	1086.614	12:7	1.714
				7\74		113.514	1086.486	7:4	1.750
					9\95	113.684	1086.316	9:5	1.800
	2\21					114.286	1085.714	2:1	2.000	Basic 10L 1s
					9\94	114.894	1085.106	9:4	2.250
				7\73		115.068	1084.932	7:3	2.333
					12\125	115.200	1084.800	12:5	2.400
			5\52			115.385	1084.615	5:2	2.500	Semihard 10L 1s
					13\135	115.556	1084.444	13:5	2.600
				8\83		115.663	1084.337	8:3	2.667
					11\114	115.789	1084.211	11:4	2.750
		3\31				116.129	1083.871	3:1	3.000	Hard 10L 1s
					10\103	116.505	1083.495	10:3	3.333
				7\72		116.667	1083.333	7:2	3.500
					11\113	116.814	1083.186	11:3	3.667
			4\41			117.073	1082.927	4:1	4.000	Superhard 10L 1s
					9\92	117.391	1082.609	9:2	4.500
				5\51		117.647	1082.353	5:1	5.000
					6\61	118.033	1081.967	6:1	6.000
1\10						120.000	1080.000	1:0	→ ∞	Collapsed 10L 1s