1L 20s

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1L 20s 2L 20s →
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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
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 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 ¢)

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 ¢.

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

Icon-Deprecated.png Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
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 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


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