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1L 18s

Revision as of 08:11, 15 December 2024 by BudjarnLambeth (talk | contribs) (== Intervals == {{MOS intervals}})

1L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 18 small steps, repeating every octave. 1L 18s is related to 1L 9s, expanding it by 9 tones. Generators that produce this scale range from 1136.8 ¢ to 1200 ¢, or from 0 ¢ to 63.2 ¢.

↑ 1L 17s 2L 17s ↗
1L 18s 2L 18s →
↓ 1L 19s 2L 19s ↘
Scale structure
Step pattern Lssssssssssssssssss
ssssssssssssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 18\19 to 1\1 (1136.8 ¢ to 1200.0 ¢)
Dark 0\1 to 1\19 (0.0 ¢ to 63.2 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 10:1 to 1:0
Related MOS scales
Parent 1L 17s
Sister 18L 1s
Daughters 19L 1s, 1L 19s
Neutralized 2L 17s
2-Flought 20L 18s, 1L 37s
Equal tunings
Equalized (L:s = 1:1) 18\19 (1136.8 ¢)
Supersoft (L:s = 4:3) 55\58 (1137.9 ¢)
Soft (L:s = 3:2) 37\39 (1138.5 ¢)
Semisoft (L:s = 5:3) 56\59 (1139.0 ¢)
Basic (L:s = 2:1) 19\20 (1140.0 ¢)
Semihard (L:s = 5:2) 39\41 (1141.5 ¢)
Hard (L:s = 3:1) 20\21 (1142.9 ¢)
Superhard (L:s = 4:1) 21\22 (1145.5 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)
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Modes

Modes of 1L 18s
UDP Cyclic
order		 Step
pattern
18|0 1 Lssssssssssssssssss
17|1 19 sLsssssssssssssssss
16|2 18 ssLssssssssssssssss
15|3 17 sssLsssssssssssssss
14|4 16 ssssLssssssssssssss
13|5 15 sssssLsssssssssssss
12|6 14 ssssssLssssssssssss
11|7 13 sssssssLsssssssssss
10|8 12 ssssssssLssssssssss
9|9 11 sssssssssLsssssssss
8|10 10 ssssssssssLssssssss
7|11 9 sssssssssssLsssssss
6|12 8 ssssssssssssLssssss
5|13 7 sssssssssssssLsssss
4|14 6 ssssssssssssssLssss
3|15 5 sssssssssssssssLsss
2|16 4 ssssssssssssssssLss
1|17 3 sssssssssssssssssLs
0|18 2 ssssssssssssssssssL

Intervals

Intervals of 1L 18s
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 63.2 ¢
Augmented 1-mosstep A1ms L 63.2 ¢ to 1200.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 126.3 ¢
Major 2-mosstep M2ms L + s 126.3 ¢ to 1200.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 189.5 ¢
Major 3-mosstep M3ms L + 2s 189.5 ¢ to 1200.0 ¢
4-mosstep Minor 4-mosstep m4ms 4s 0.0 ¢ to 252.6 ¢
Major 4-mosstep M4ms L + 3s 252.6 ¢ to 1200.0 ¢
5-mosstep Minor 5-mosstep m5ms 5s 0.0 ¢ to 315.8 ¢
Major 5-mosstep M5ms L + 4s 315.8 ¢ to 1200.0 ¢
6-mosstep Minor 6-mosstep m6ms 6s 0.0 ¢ to 378.9 ¢
Major 6-mosstep M6ms L + 5s 378.9 ¢ to 1200.0 ¢
7-mosstep Minor 7-mosstep m7ms 7s 0.0 ¢ to 442.1 ¢
Major 7-mosstep M7ms L + 6s 442.1 ¢ to 1200.0 ¢
8-mosstep Minor 8-mosstep m8ms 8s 0.0 ¢ to 505.3 ¢
Major 8-mosstep M8ms L + 7s 505.3 ¢ to 1200.0 ¢
9-mosstep Minor 9-mosstep m9ms 9s 0.0 ¢ to 568.4 ¢
Major 9-mosstep M9ms L + 8s 568.4 ¢ to 1200.0 ¢
10-mosstep Minor 10-mosstep m10ms 10s 0.0 ¢ to 631.6 ¢
Major 10-mosstep M10ms L + 9s 631.6 ¢ to 1200.0 ¢
11-mosstep Minor 11-mosstep m11ms 11s 0.0 ¢ to 694.7 ¢
Major 11-mosstep M11ms L + 10s 694.7 ¢ to 1200.0 ¢
12-mosstep Minor 12-mosstep m12ms 12s 0.0 ¢ to 757.9 ¢
Major 12-mosstep M12ms L + 11s 757.9 ¢ to 1200.0 ¢
13-mosstep Minor 13-mosstep m13ms 13s 0.0 ¢ to 821.1 ¢
Major 13-mosstep M13ms L + 12s 821.1 ¢ to 1200.0 ¢
14-mosstep Minor 14-mosstep m14ms 14s 0.0 ¢ to 884.2 ¢
Major 14-mosstep M14ms L + 13s 884.2 ¢ to 1200.0 ¢
15-mosstep Minor 15-mosstep m15ms 15s 0.0 ¢ to 947.4 ¢
Major 15-mosstep M15ms L + 14s 947.4 ¢ to 1200.0 ¢
16-mosstep Minor 16-mosstep m16ms 16s 0.0 ¢ to 1010.5 ¢
Major 16-mosstep M16ms L + 15s 1010.5 ¢ to 1200.0 ¢
17-mosstep Minor 17-mosstep m17ms 17s 0.0 ¢ to 1073.7 ¢
Major 17-mosstep M17ms L + 16s 1073.7 ¢ to 1200.0 ¢
18-mosstep Diminished 18-mosstep d18ms 18s 0.0 ¢ to 1136.8 ¢
Perfect 18-mosstep P18ms L + 17s 1136.8 ¢ to 1200.0 ¢
19-mosstep Perfect 19-mosstep P19ms L + 18s 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 18s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
18\19 1136.842 63.158 1:1 1.000 Equalized 1L 18s
91\96 1137.500 62.500 6:5 1.200
73\77 1137.662 62.338 5:4 1.250
128\135 1137.778 62.222 9:7 1.286
55\58 1137.931 62.069 4:3 1.333 Supersoft 1L 18s
147\155 1138.065 61.935 11:8 1.375
92\97 1138.144 61.856 7:5 1.400
129\136 1138.235 61.765 10:7 1.429
37\39 1138.462 61.538 3:2 1.500 Soft 1L 18s
130\137 1138.686 61.314 11:7 1.571
93\98 1138.776 61.224 8:5 1.600
149\157 1138.854 61.146 13:8 1.625
56\59 1138.983 61.017 5:3 1.667 Semisoft 1L 18s
131\138 1139.130 60.870 12:7 1.714
75\79 1139.241 60.759 7:4 1.750
94\99 1139.394 60.606 9:5 1.800
19\20 1140.000 60.000 2:1 2.000 Basic 1L 18s
Scales with tunings softer than this are proper
77\81 1140.741 59.259 9:4 2.250
58\61 1140.984 59.016 7:3 2.333
97\102 1141.176 58.824 12:5 2.400
39\41 1141.463 58.537 5:2 2.500 Semihard 1L 18s
98\103 1141.748 58.252 13:5 2.600
59\62 1141.935 58.065 8:3 2.667
79\83 1142.169 57.831 11:4 2.750
20\21 1142.857 57.143 3:1 3.000 Hard 1L 18s
61\64 1143.750 56.250 10:3 3.333
41\43 1144.186 55.814 7:2 3.500
62\65 1144.615 55.385 11:3 3.667
21\22 1145.455 54.545 4:1 4.000 Superhard 1L 18s
43\45 1146.667 53.333 9:2 4.500
22\23 1147.826 52.174 5:1 5.000
23\24 1150.000 50.000 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 18s


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