1L 18s

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↑ 1L 17s 2L 17s ↗
1L 18s 2L 18s →
↓ 1L 19s 2L 19s ↘
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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
Descends from 1L 9s (antisinatonic)
Ancestor's step ratio range 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¢)

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¢.

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

Scale tree

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