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 ¢)
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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 ¢

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 1L 10s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
10\11						1090.909	109.091	1:1	1.000	Equalized 1L 10s
					51\56	1092.857	107.143	6:5	1.200
				41\45		1093.333	106.667	5:4	1.250
					72\79	1093.671	106.329	9:7	1.286
			31\34			1094.118	105.882	4:3	1.333	Supersoft 1L 10s
					83\91	1094.505	105.495	11:8	1.375
				52\57		1094.737	105.263	7:5	1.400
					73\80	1095.000	105.000	10:7	1.429
		21\23				1095.652	104.348	3:2	1.500	Soft 1L 10s
					74\81	1096.296	103.704	11:7	1.571
				53\58		1096.552	103.448	8:5	1.600
					85\93	1096.774	103.226	13:8	1.625
			32\35			1097.143	102.857	5:3	1.667	Semisoft 1L 10s
					75\82	1097.561	102.439	12:7	1.714
				43\47		1097.872	102.128	7:4	1.750
					54\59	1098.305	101.695	9:5	1.800
	11\12					1100.000	100.000	2:1	2.000	Basic 1L 10s Scales with tunings softer than this are proper
					45\49	1102.041	97.959	9:4	2.250
				34\37		1102.703	97.297	7:3	2.333
					57\62	1103.226	96.774	12:5	2.400
			23\25			1104.000	96.000	5:2	2.500	Semihard 1L 10s
					58\63	1104.762	95.238	13:5	2.600
				35\38		1105.263	94.737	8:3	2.667
					47\51	1105.882	94.118	11:4	2.750
		12\13				1107.692	92.308	3:1	3.000	Hard 1L 10s
					37\40	1110.000	90.000	10:3	3.333
				25\27		1111.111	88.889	7:2	3.500
					38\41	1112.195	87.805	11:3	3.667
			13\14			1114.286	85.714	4:1	4.000	Superhard 1L 10s
					27\29	1117.241	82.759	9:2	4.500
				14\15		1120.000	80.000	5:1	5.000
					15\16	1125.000	75.000	6:1	6.000
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 10s