1L 10s

	↑ 1L 9s	2L 9s ↗
	1L 10s	2L 10s →
	↓ 1L 11s	2L 11s ↘

┌╥┬┬┬┬┬┬┬┬┬┬┐ │║│││││││││││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lssssssssss ssssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	10\11 to 1\1 (1090.9 ¢ to 1200.0 ¢)
Dark	0\1 to 1\11 (0.0 ¢ to 109.1 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	1L 9s
Sister	10L 1s
Daughters	11L 1s, 1L 11s
Neutralized	2L 9s
2-Flought	12L 10s, 1L 21s
Equal tunings
Equalized (L:s = 1:1)	10\11 (1090.9 ¢)
Supersoft (L:s = 4:3)	31\34 (1094.1 ¢)
Soft (L:s = 3:2)	21\23 (1095.7 ¢)
Semisoft (L:s = 5:3)	32\35 (1097.1 ¢)
Basic (L:s = 2:1)	11\12 (1100.0 ¢)
Semihard (L:s = 5:2)	23\25 (1104.0 ¢)
Hard (L:s = 3:1)	12\13 (1107.7 ¢)
Superhard (L:s = 4:1)	13\14 (1114.3 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)

1L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 10 small steps, repeating every octave. 1L 10s is a child scale of 1L 9s, expanding it by 1 tones. Generators that produce this scale range from 1090.9 ¢ to 1200 ¢, or from 0 ¢ to 109.1 ¢.

This MOS achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5 = +3 generators), Octacot (3/2 = +8 generators), Nautilus (3/2 = -6 generators) and Valentine (7/4 = -3 generators).

Modes

Modes of 1L 10s

UDP	Cyclic order	Step pattern
10|0	1	Lssssssssss
9|1	11	sLsssssssss
8|2	10	ssLssssssss
7|3	9	sssLsssssss
6|4	8	ssssLssssss
5|5	7	sssssLsssss
4|6	6	ssssssLssss
3|7	5	sssssssLsss
2|8	4	ssssssssLss
1|9	3	sssssssssLs
0|10	2	ssssssssssL

Intervals

Intervals of 1L 10s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Perfect 1-mosstep	P1ms	s	0.0 ¢ to 109.1 ¢
	Augmented 1-mosstep	A1ms	L	109.1 ¢ to 1200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 218.2 ¢
	Major 2-mosstep	M2ms	L + s	218.2 ¢ to 1200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 327.3 ¢
	Major 3-mosstep	M3ms	L + 2s	327.3 ¢ to 1200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 436.4 ¢
	Major 4-mosstep	M4ms	L + 3s	436.4 ¢ to 1200.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 545.5 ¢
	Major 5-mosstep	M5ms	L + 4s	545.5 ¢ to 1200.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0 ¢ to 654.5 ¢
	Major 6-mosstep	M6ms	L + 5s	654.5 ¢ to 1200.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0 ¢ to 763.6 ¢
	Major 7-mosstep	M7ms	L + 6s	763.6 ¢ to 1200.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0 ¢ to 872.7 ¢
	Major 8-mosstep	M8ms	L + 7s	872.7 ¢ to 1200.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	9s	0.0 ¢ to 981.8 ¢
	Major 9-mosstep	M9ms	L + 8s	981.8 ¢ to 1200.0 ¢
10-mosstep	Diminished 10-mosstep	d10ms	10s	0.0 ¢ to 1090.9 ¢
	Perfect 10-mosstep	P10ms	L + 9s	1090.9 ¢ to 1200.0 ¢
11-mosstep	Perfect 11-mosstep	P11ms	L + 10s	1200.0 ¢