10L 10s

10L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 10 small steps, with a period of 1 large step and 1 small step that repeats every 120.0 ¢, or 10 times every octave. Generators that produce this scale range from 60 ¢ to 120 ¢, or from 0 ¢ to 60 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

↖ 9L 9s	↑ 10L 9s	11L 9s ↗
← 9L 10s	10L 10s	11L 10s →
↙ 9L 11s	↓ 10L 11s	11L 11s ↘

Scale structure
Step pattern	LsLsLsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	1\10 (120.0 ¢)
Generator size
Bright	1\20 to 1\10 (60.0 ¢ to 120.0 ¢)
Dark	0\10 to 1\20 (0.0 ¢ to 60.0 ¢)
Related MOS scales
Parent	none
Sister	10L 10s (self)
Daughters	20L 10s, 10L 20s
Neutralized	20edo
2-Flought	30L 10s, 10L 30s
Equal tunings
Equalized (L:s = 1:1)	1\20 (60.0 ¢)
Supersoft (L:s = 4:3)	4\70 (68.6 ¢)
Soft (L:s = 3:2)	3\50 (72.0 ¢)
Semisoft (L:s = 5:3)	5\80 (75.0 ¢)
Basic (L:s = 2:1)	2\30 (80.0 ¢)
Semihard (L:s = 5:2)	5\70 (85.7 ¢)
Hard (L:s = 3:1)	3\40 (90.0 ¢)
Superhard (L:s = 4:1)	4\50 (96.0 ¢)
Collapsed (L:s = 1:0)	1\10 (120.0 ¢)
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Modes

Modes of 10L 10s

UDP	Cyclic order	Step pattern
10|0(10)	1	LsLsLsLsLsLsLsLsLsLs
0|10(10)	2	sLsLsLsLsLsLsLsLsLsL

Intervals

Intervals of 10L 10s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 60.0 ¢
	Major 1-mosstep	M1ms	L	60.0 ¢ to 120.0 ¢
2-mosstep	Perfect 2-mosstep	P2ms	L + s	120.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	120.0 ¢ to 180.0 ¢
	Major 3-mosstep	M3ms	2L + s	180.0 ¢ to 240.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	2L + 2s	240.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	240.0 ¢ to 300.0 ¢
	Major 5-mosstep	M5ms	3L + 2s	300.0 ¢ to 360.0 ¢
6-mosstep	Perfect 6-mosstep	P6ms	3L + 3s	360.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	360.0 ¢ to 420.0 ¢
	Major 7-mosstep	M7ms	4L + 3s	420.0 ¢ to 480.0 ¢
8-mosstep	Perfect 8-mosstep	P8ms	4L + 4s	480.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	480.0 ¢ to 540.0 ¢
	Major 9-mosstep	M9ms	5L + 4s	540.0 ¢ to 600.0 ¢
10-mosstep	Perfect 10-mosstep	P10ms	5L + 5s	600.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	600.0 ¢ to 660.0 ¢
	Major 11-mosstep	M11ms	6L + 5s	660.0 ¢ to 720.0 ¢
12-mosstep	Perfect 12-mosstep	P12ms	6L + 6s	720.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	6L + 7s	720.0 ¢ to 780.0 ¢
	Major 13-mosstep	M13ms	7L + 6s	780.0 ¢ to 840.0 ¢
14-mosstep	Perfect 14-mosstep	P14ms	7L + 7s	840.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	7L + 8s	840.0 ¢ to 900.0 ¢
	Major 15-mosstep	M15ms	8L + 7s	900.0 ¢ to 960.0 ¢
16-mosstep	Perfect 16-mosstep	P16ms	8L + 8s	960.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	8L + 9s	960.0 ¢ to 1020.0 ¢
	Major 17-mosstep	M17ms	9L + 8s	1020.0 ¢ to 1080.0 ¢
18-mosstep	Perfect 18-mosstep	P18ms	9L + 9s	1080.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	9L + 10s	1080.0 ¢ to 1140.0 ¢
	Major 19-mosstep	M19ms	10L + 9s	1140.0 ¢ to 1200.0 ¢
20-mosstep	Perfect 20-mosstep	P20ms	10L + 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 10L 10s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\20						60.000	60.000	1:1	1.000	Equalized 10L 10s
					6\110	65.455	54.545	6:5	1.200
				5\90		66.667	53.333	5:4	1.250
					9\160	67.500	52.500	9:7	1.286
			4\70			68.571	51.429	4:3	1.333	Supersoft 10L 10s
					11\190	69.474	50.526	11:8	1.375
				7\120		70.000	50.000	7:5	1.400
					10\170	70.588	49.412	10:7	1.429
		3\50				72.000	48.000	3:2	1.500	Soft 10L 10s
					11\180	73.333	46.667	11:7	1.571
				8\130		73.846	46.154	8:5	1.600
					13\210	74.286	45.714	13:8	1.625
			5\80			75.000	45.000	5:3	1.667	Semisoft 10L 10s
					12\190	75.789	44.211	12:7	1.714
				7\110		76.364	43.636	7:4	1.750
					9\140	77.143	42.857	9:5	1.800
	2\30					80.000	40.000	2:1	2.000	Basic 10L 10s
					9\130	83.077	36.923	9:4	2.250
				7\100		84.000	36.000	7:3	2.333
					12\170	84.706	35.294	12:5	2.400
			5\70			85.714	34.286	5:2	2.500	Semihard 10L 10s
					13\180	86.667	33.333	13:5	2.600
				8\110		87.273	32.727	8:3	2.667
					11\150	88.000	32.000	11:4	2.750
		3\40				90.000	30.000	3:1	3.000	Hard 10L 10s
					10\130	92.308	27.692	10:3	3.333
				7\90		93.333	26.667	7:2	3.500
					11\140	94.286	25.714	11:3	3.667
			4\50			96.000	24.000	4:1	4.000	Superhard 10L 10s
					9\110	98.182	21.818	9:2	4.500
				5\60		100.000	20.000	5:1	5.000
					6\70	102.857	17.143	6:1	6.000
1\10						120.000	0.000	1:0	→ ∞	Collapsed 10L 10s