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 of the Miracle temperment and its unnamed close neighbors.

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