1L 20s

1L 20s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 20 small steps, repeating every octave. 1L 20s is related to 1L 9s, expanding it by 11 tones. Generators that produce this scale range from 1142.9 ¢ to 1200 ¢, or from 0 ¢ to 57.1 ¢.

	↑ 1L 19s	2L 19s ↗
	1L 20s	2L 20s →
	↓ 1L 21s	2L 21s ↘

Scale structure
Step pattern	Lssssssssssssssssssss ssssssssssssssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	20\21 to 1\1 (1142.9 ¢ to 1200.0 ¢)
Dark	0\1 to 1\21 (0.0 ¢ to 57.1 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	12:1 to 1:0
Related MOS scales
Parent	1L 19s
Sister	20L 1s
Daughters	21L 1s, 1L 21s
Neutralized	2L 19s
2-Flought	22L 20s, 1L 41s
Equal tunings
Equalized (L:s = 1:1)	20\21 (1142.9 ¢)
Supersoft (L:s = 4:3)	61\64 (1143.8 ¢)
Soft (L:s = 3:2)	41\43 (1144.2 ¢)
Semisoft (L:s = 5:3)	62\65 (1144.6 ¢)
Basic (L:s = 2:1)	21\22 (1145.5 ¢)
Semihard (L:s = 5:2)	43\45 (1146.7 ¢)
Hard (L:s = 3:1)	22\23 (1147.8 ¢)
Superhard (L:s = 4:1)	23\24 (1150.0 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)
View • Talk • Edit

Modes

Modes of 1L 20s

UDP	Cyclic order	Step pattern
20|0	1	Lssssssssssssssssssss
19|1	21	sLsssssssssssssssssss
18|2	20	ssLssssssssssssssssss
17|3	19	sssLsssssssssssssssss
16|4	18	ssssLssssssssssssssss
15|5	17	sssssLsssssssssssssss
14|6	16	ssssssLssssssssssssss
13|7	15	sssssssLsssssssssssss
12|8	14	ssssssssLssssssssssss
11|9	13	sssssssssLsssssssssss
10|10	12	ssssssssssLssssssssss
9|11	11	sssssssssssLsssssssss
8|12	10	ssssssssssssLssssssss
7|13	9	sssssssssssssLsssssss
6|14	8	ssssssssssssssLssssss
5|15	7	sssssssssssssssLsssss
4|16	6	ssssssssssssssssLssss
3|17	5	sssssssssssssssssLsss
2|18	4	ssssssssssssssssssLss
1|19	3	sssssssssssssssssssLs
0|20	2	ssssssssssssssssssssL

Intervals

Intervals of 1L 20s

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 57.1 ¢
	Augmented 1-mosstep	A1ms	L	57.1 ¢ to 1200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 114.3 ¢
	Major 2-mosstep	M2ms	L + s	114.3 ¢ to 1200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 171.4 ¢
	Major 3-mosstep	M3ms	L + 2s	171.4 ¢ to 1200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 228.6 ¢
	Major 4-mosstep	M4ms	L + 3s	228.6 ¢ to 1200.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	5s	0.0 ¢ to 285.7 ¢
	Major 5-mosstep	M5ms	L + 4s	285.7 ¢ to 1200.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	6s	0.0 ¢ to 342.9 ¢
	Major 6-mosstep	M6ms	L + 5s	342.9 ¢ to 1200.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	7s	0.0 ¢ to 400.0 ¢
	Major 7-mosstep	M7ms	L + 6s	400.0 ¢ to 1200.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	8s	0.0 ¢ to 457.1 ¢
	Major 8-mosstep	M8ms	L + 7s	457.1 ¢ to 1200.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	9s	0.0 ¢ to 514.3 ¢
	Major 9-mosstep	M9ms	L + 8s	514.3 ¢ to 1200.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	10s	0.0 ¢ to 571.4 ¢
	Major 10-mosstep	M10ms	L + 9s	571.4 ¢ to 1200.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	11s	0.0 ¢ to 628.6 ¢
	Major 11-mosstep	M11ms	L + 10s	628.6 ¢ to 1200.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	12s	0.0 ¢ to 685.7 ¢
	Major 12-mosstep	M12ms	L + 11s	685.7 ¢ to 1200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	13s	0.0 ¢ to 742.9 ¢
	Major 13-mosstep	M13ms	L + 12s	742.9 ¢ to 1200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	14s	0.0 ¢ to 800.0 ¢
	Major 14-mosstep	M14ms	L + 13s	800.0 ¢ to 1200.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	15s	0.0 ¢ to 857.1 ¢
	Major 15-mosstep	M15ms	L + 14s	857.1 ¢ to 1200.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	16s	0.0 ¢ to 914.3 ¢
	Major 16-mosstep	M16ms	L + 15s	914.3 ¢ to 1200.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	17s	0.0 ¢ to 971.4 ¢
	Major 17-mosstep	M17ms	L + 16s	971.4 ¢ to 1200.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	18s	0.0 ¢ to 1028.6 ¢
	Major 18-mosstep	M18ms	L + 17s	1028.6 ¢ to 1200.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	19s	0.0 ¢ to 1085.7 ¢
	Major 19-mosstep	M19ms	L + 18s	1085.7 ¢ to 1200.0 ¢
20-mosstep	Diminished 20-mosstep	d20ms	20s	0.0 ¢ to 1142.9 ¢
	Perfect 20-mosstep	P20ms	L + 19s	1142.9 ¢ to 1200.0 ¢
21-mosstep	Perfect 21-mosstep	P21ms	L + 20s	1200.0 ¢

Scale tree

Scale tree and tuning spectrum of 1L 20s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
20\21						1142.857	57.143	1:1	1.000	Equalized 1L 20s
					101\106	1143.396	56.604	6:5	1.200
				81\85		1143.529	56.471	5:4	1.250
					142\149	1143.624	56.376	9:7	1.286
			61\64			1143.750	56.250	4:3	1.333	Supersoft 1L 20s
					163\171	1143.860	56.140	11:8	1.375
				102\107		1143.925	56.075	7:5	1.400
					143\150	1144.000	56.000	10:7	1.429
		41\43				1144.186	55.814	3:2	1.500	Soft 1L 20s
					144\151	1144.371	55.629	11:7	1.571
				103\108		1144.444	55.556	8:5	1.600
					165\173	1144.509	55.491	13:8	1.625
			62\65			1144.615	55.385	5:3	1.667	Semisoft 1L 20s
					145\152	1144.737	55.263	12:7	1.714
				83\87		1144.828	55.172	7:4	1.750
					104\109	1144.954	55.046	9:5	1.800
	21\22					1145.455	54.545	2:1	2.000	Basic 1L 20s Scales with tunings softer than this are proper
					85\89	1146.067	53.933	9:4	2.250
				64\67		1146.269	53.731	7:3	2.333
					107\112	1146.429	53.571	12:5	2.400
			43\45			1146.667	53.333	5:2	2.500	Semihard 1L 20s
					108\113	1146.903	53.097	13:5	2.600
				65\68		1147.059	52.941	8:3	2.667
					87\91	1147.253	52.747	11:4	2.750
		22\23				1147.826	52.174	3:1	3.000	Hard 1L 20s
					67\70	1148.571	51.429	10:3	3.333
				45\47		1148.936	51.064	7:2	3.500
					68\71	1149.296	50.704	11:3	3.667
			23\24			1150.000	50.000	4:1	4.000	Superhard 1L 20s
					47\49	1151.020	48.980	9:2	4.500
				24\25		1152.000	48.000	5:1	5.000
					25\26	1153.846	46.154	6:1	6.000
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 20s

This page is a stub. You can help the Xenharmonic Wiki by expanding it.