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 ¢)

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

1/11					109.091
				5/54	111.111
			4/43		111.628
				7/75	112
		3/32			112.5
					112.818
				8/85	112.941
					113.15
			5/53		113.2075
					113.45
				7/74	113.5135
	2/21				114.286
				7/73	115.0685
			5/52		115.308
					115.585
				8/83	115.663
					115.742
		3/31			116.129
					116.298
				7/72	116.667
			4/41		117.073
				5/51	117.647
1/10					120