10L 1s

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.

← 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 ¢)
View • Talk • Edit

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