5L 18s
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Step pattern
LsssLssssLsssLssssLssss
ssssLssssLsssLssssLsssL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
9\23 to 2\5 (469.6 ¢ to 480.0 ¢)
Dark
3\5 to 14\23 (720.0 ¢ to 730.4 ¢)
Related to
5L 3s (oneirotonic)
With tunings
4:1 to 1:0 (ultrahard)
Parent
5L 13s
Sister
18L 5s
Daughters
23L 5s, 5L 23s
Neutralized
10L 13s
2-Flought
28L 18s, 5L 41s
Equalized (L:s = 1:1)
9\23 (469.6 ¢)
Supersoft (L:s = 4:3)
29\74 (470.3 ¢)
Soft (L:s = 3:2)
20\51 (470.6 ¢)
Semisoft (L:s = 5:3)
31\79 (470.9 ¢)
Basic (L:s = 2:1)
11\28 (471.4 ¢)
Semihard (L:s = 5:2)
24\61 (472.1 ¢)
Hard (L:s = 3:1)
13\33 (472.7 ¢)
Superhard (L:s = 4:1)
15\38 (473.7 ¢)
Collapsed (L:s = 1:0)
2\5 (480.0 ¢)
| ↖ 4L 17s | ↑ 5L 17s | 6L 17s ↗ |
| ← 4L 18s | 5L 18s | 6L 18s → |
| ↙ 4L 19s | ↓ 5L 19s | 6L 19s ↘ |
┌╥┬┬┬╥┬┬┬┬╥┬┬┬╥┬┬┬┬╥┬┬┬┬┐ │║│││║││││║│││║││││║│││││ │││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssssLssssLsssLssssLsssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
5L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 18 small steps, repeating every octave. 5L 18s is a great-grandchild scale of 5L 3s, expanding it by 15 tones. Generators that produce this scale range from 469.6 ¢ to 480 ¢, or from 720 ¢ to 730.4 ¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 22|0 | 1 | LsssLssssLsssLssssLssss |
| 21|1 | 10 | LsssLssssLssssLsssLssss |
| 20|2 | 19 | LssssLsssLssssLsssLssss |
| 19|3 | 5 | LssssLsssLssssLssssLsss |
| 18|4 | 14 | LssssLssssLsssLssssLsss |
| 17|5 | 23 | sLsssLssssLsssLssssLsss |
| 16|6 | 9 | sLsssLssssLssssLsssLsss |
| 15|7 | 18 | sLssssLsssLssssLsssLsss |
| 14|8 | 4 | sLssssLsssLssssLssssLss |
| 13|9 | 13 | sLssssLssssLsssLssssLss |
| 12|10 | 22 | ssLsssLssssLsssLssssLss |
| 11|11 | 8 | ssLsssLssssLssssLsssLss |
| 10|12 | 17 | ssLssssLsssLssssLsssLss |
| 9|13 | 3 | ssLssssLsssLssssLssssLs |
| 8|14 | 12 | ssLssssLssssLsssLssssLs |
| 7|15 | 21 | sssLsssLssssLsssLssssLs |
| 6|16 | 7 | sssLsssLssssLssssLsssLs |
| 5|17 | 16 | sssLssssLsssLssssLsssLs |
| 4|18 | 2 | sssLssssLsssLssssLssssL |
| 3|19 | 11 | sssLssssLssssLsssLssssL |
| 2|20 | 20 | ssssLsssLssssLsssLssssL |
| 1|21 | 6 | ssssLsssLssssLssssLsssL |
| 0|22 | 15 | ssssLssssLsssLssssLsssL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0 ¢ |
| 1-mosstep | Minor 1-mosstep | m1ms | s | 0.0 ¢ to 52.2 ¢ |
| Major 1-mosstep | M1ms | L | 52.2 ¢ to 240.0 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0 ¢ to 104.3 ¢ |
| Major 2-mosstep | M2ms | L + s | 104.3 ¢ to 240.0 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0 ¢ to 156.5 ¢ |
| Major 3-mosstep | M3ms | L + 2s | 156.5 ¢ to 240.0 ¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 4s | 0.0 ¢ to 208.7 ¢ |
| Major 4-mosstep | M4ms | L + 3s | 208.7 ¢ to 240.0 ¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | L + 4s | 240.0 ¢ to 260.9 ¢ |
| Major 5-mosstep | M5ms | 2L + 3s | 260.9 ¢ to 480.0 ¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | L + 5s | 240.0 ¢ to 313.0 ¢ |
| Major 6-mosstep | M6ms | 2L + 4s | 313.0 ¢ to 480.0 ¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | L + 6s | 240.0 ¢ to 365.2 ¢ |
| Major 7-mosstep | M7ms | 2L + 5s | 365.2 ¢ to 480.0 ¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | L + 7s | 240.0 ¢ to 417.4 ¢ |
| Major 8-mosstep | M8ms | 2L + 6s | 417.4 ¢ to 480.0 ¢ | |
| 9-mosstep | Diminished 9-mosstep | d9ms | L + 8s | 240.0 ¢ to 469.6 ¢ |
| Perfect 9-mosstep | P9ms | 2L + 7s | 469.6 ¢ to 480.0 ¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 2L + 8s | 480.0 ¢ to 521.7 ¢ |
| Major 10-mosstep | M10ms | 3L + 7s | 521.7 ¢ to 720.0 ¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | 2L + 9s | 480.0 ¢ to 573.9 ¢ |
| Major 11-mosstep | M11ms | 3L + 8s | 573.9 ¢ to 720.0 ¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 2L + 10s | 480.0 ¢ to 626.1 ¢ |
| Major 12-mosstep | M12ms | 3L + 9s | 626.1 ¢ to 720.0 ¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 2L + 11s | 480.0 ¢ to 678.3 ¢ |
| Major 13-mosstep | M13ms | 3L + 10s | 678.3 ¢ to 720.0 ¢ | |
| 14-mosstep | Perfect 14-mosstep | P14ms | 3L + 11s | 720.0 ¢ to 730.4 ¢ |
| Augmented 14-mosstep | A14ms | 4L + 10s | 730.4 ¢ to 960.0 ¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 3L + 12s | 720.0 ¢ to 782.6 ¢ |
| Major 15-mosstep | M15ms | 4L + 11s | 782.6 ¢ to 960.0 ¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 3L + 13s | 720.0 ¢ to 834.8 ¢ |
| Major 16-mosstep | M16ms | 4L + 12s | 834.8 ¢ to 960.0 ¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 3L + 14s | 720.0 ¢ to 887.0 ¢ |
| Major 17-mosstep | M17ms | 4L + 13s | 887.0 ¢ to 960.0 ¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 3L + 15s | 720.0 ¢ to 939.1 ¢ |
| Major 18-mosstep | M18ms | 4L + 14s | 939.1 ¢ to 960.0 ¢ | |
| 19-mosstep | Minor 19-mosstep | m19ms | 4L + 15s | 960.0 ¢ to 991.3 ¢ |
| Major 19-mosstep | M19ms | 5L + 14s | 991.3 ¢ to 1200.0 ¢ | |
| 20-mosstep | Minor 20-mosstep | m20ms | 4L + 16s | 960.0 ¢ to 1043.5 ¢ |
| Major 20-mosstep | M20ms | 5L + 15s | 1043.5 ¢ to 1200.0 ¢ | |
| 21-mosstep | Minor 21-mosstep | m21ms | 4L + 17s | 960.0 ¢ to 1095.7 ¢ |
| Major 21-mosstep | M21ms | 5L + 16s | 1095.7 ¢ to 1200.0 ¢ | |
| 22-mosstep | Minor 22-mosstep | m22ms | 4L + 18s | 960.0 ¢ to 1147.8 ¢ |
| Major 22-mosstep | M22ms | 5L + 17s | 1147.8 ¢ to 1200.0 ¢ | |
| 23-mosstep | Perfect 23-mosstep | P23ms | 5L + 18s | 1200.0 ¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 9\23 | 469.565 | 730.435 | 1:1 | 1.000 | Equalized 5L 18s | |||||
| 47\120 | 470.000 | 730.000 | 6:5 | 1.200 | ||||||
| 38\97 | 470.103 | 729.897 | 5:4 | 1.250 | ||||||
| 67\171 | 470.175 | 729.825 | 9:7 | 1.286 | ||||||
| 29\74 | 470.270 | 729.730 | 4:3 | 1.333 | Supersoft 5L 18s | |||||
| 78\199 | 470.352 | 729.648 | 11:8 | 1.375 | ||||||
| 49\125 | 470.400 | 729.600 | 7:5 | 1.400 | ||||||
| 69\176 | 470.455 | 729.545 | 10:7 | 1.429 | ||||||
| 20\51 | 470.588 | 729.412 | 3:2 | 1.500 | Soft 5L 18s | |||||
| 71\181 | 470.718 | 729.282 | 11:7 | 1.571 | ||||||
| 51\130 | 470.769 | 729.231 | 8:5 | 1.600 | ||||||
| 82\209 | 470.813 | 729.187 | 13:8 | 1.625 | ||||||
| 31\79 | 470.886 | 729.114 | 5:3 | 1.667 | Semisoft 5L 18s | |||||
| 73\186 | 470.968 | 729.032 | 12:7 | 1.714 | ||||||
| 42\107 | 471.028 | 728.972 | 7:4 | 1.750 | ||||||
| 53\135 | 471.111 | 728.889 | 9:5 | 1.800 | ||||||
| 11\28 | 471.429 | 728.571 | 2:1 | 2.000 | Basic 5L 18s Scales with tunings softer than this are proper | |||||
| 46\117 | 471.795 | 728.205 | 9:4 | 2.250 | ||||||
| 35\89 | 471.910 | 728.090 | 7:3 | 2.333 | ||||||
| 59\150 | 472.000 | 728.000 | 12:5 | 2.400 | ||||||
| 24\61 | 472.131 | 727.869 | 5:2 | 2.500 | Semihard 5L 18s | |||||
| 61\155 | 472.258 | 727.742 | 13:5 | 2.600 | ||||||
| 37\94 | 472.340 | 727.660 | 8:3 | 2.667 | ||||||
| 50\127 | 472.441 | 727.559 | 11:4 | 2.750 | ||||||
| 13\33 | 472.727 | 727.273 | 3:1 | 3.000 | Hard 5L 18s | |||||
| 41\104 | 473.077 | 726.923 | 10:3 | 3.333 | ||||||
| 28\71 | 473.239 | 726.761 | 7:2 | 3.500 | ||||||
| 43\109 | 473.394 | 726.606 | 11:3 | 3.667 | ||||||
| 15\38 | 473.684 | 726.316 | 4:1 | 4.000 | Superhard 5L 18s | |||||
| 32\81 | 474.074 | 725.926 | 9:2 | 4.500 | ||||||
| 17\43 | 474.419 | 725.581 | 5:1 | 5.000 | ||||||
| 19\48 | 475.000 | 725.000 | 6:1 | 6.000 | ||||||
| 2\5 | 480.000 | 720.000 | 1:0 | → ∞ | Collapsed 5L 18s | |||||
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