1L 18s
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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 17s | 2L 17s ↗ | |
| 1L 18s | 2L 18s → | |
| ↓ 1L 19s | 2L 19s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┐ │║│││││││││││││││││││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssssssssssssL
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
| 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
| 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 | |||||