1L 15s
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Scale structure
Step pattern
Lsssssssssssssss
sssssssssssssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
15\16 to 1\1 (1125.0¢ to 1200.0¢)
Dark
0\1 to 1\16 (0.0¢ to 75.0¢)
TAMNAMS information
Descends from
1L 9s (antisinatonic)
Ancestor's step ratio range
7:1 to 1:0
Related MOS scales
Parent
1L 14s
Sister
15L 1s
Daughters
16L 1s, 1L 16s
Neutralized
2L 14s
2-Flought
17L 15s, 1L 31s
Equal tunings
Equalized (L:s = 1:1)
15\16 (1125.0¢)
Supersoft (L:s = 4:3)
46\49 (1126.5¢)
Soft (L:s = 3:2)
31\33 (1127.3¢)
Semisoft (L:s = 5:3)
47\50 (1128.0¢)
Basic (L:s = 2:1)
16\17 (1129.4¢)
Semihard (L:s = 5:2)
33\35 (1131.4¢)
Hard (L:s = 3:1)
17\18 (1133.3¢)
Superhard (L:s = 4:1)
18\19 (1136.8¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
| ↑ 1L 14s | 2L 14s ↗ | |
| 1L 15s | 2L 15s → | |
| ↓ 1L 16s | 2L 16s ↘ |
┌╥┬┬┬┬┬┬┬┬┬┬┬┬┬┬┬┐ │║││││││││││││││││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssssssssssssL
1L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 15 small steps, repeating every octave. 1L 15s is related to 1L 9s, expanding it by 6 tones. Generators that produce this scale range from 1125¢ to 1200¢, or from 0¢ to 75¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 15|0 | 1 | Lsssssssssssssss |
| 14|1 | 16 | sLssssssssssssss |
| 13|2 | 15 | ssLsssssssssssss |
| 12|3 | 14 | sssLssssssssssss |
| 11|4 | 13 | ssssLsssssssssss |
| 10|5 | 12 | sssssLssssssssss |
| 9|6 | 11 | ssssssLsssssssss |
| 8|7 | 10 | sssssssLssssssss |
| 7|8 | 9 | ssssssssLsssssss |
| 6|9 | 8 | sssssssssLssssss |
| 5|10 | 7 | ssssssssssLsssss |
| 4|11 | 6 | sssssssssssLssss |
| 3|12 | 5 | ssssssssssssLsss |
| 2|13 | 4 | sssssssssssssLss |
| 1|14 | 3 | ssssssssssssssLs |
| 0|15 | 2 | sssssssssssssssL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 15\16 | 1125.000 | 75.000 | 1:1 | 1.000 | Equalized 1L 15s | |||||
| 76\81 | 1125.926 | 74.074 | 6:5 | 1.200 | ||||||
| 61\65 | 1126.154 | 73.846 | 5:4 | 1.250 | ||||||
| 107\114 | 1126.316 | 73.684 | 9:7 | 1.286 | ||||||
| 46\49 | 1126.531 | 73.469 | 4:3 | 1.333 | Supersoft 1L 15s | |||||
| 123\131 | 1126.718 | 73.282 | 11:8 | 1.375 | ||||||
| 77\82 | 1126.829 | 73.171 | 7:5 | 1.400 | ||||||
| 108\115 | 1126.957 | 73.043 | 10:7 | 1.429 | ||||||
| 31\33 | 1127.273 | 72.727 | 3:2 | 1.500 | Soft 1L 15s | |||||
| 109\116 | 1127.586 | 72.414 | 11:7 | 1.571 | ||||||
| 78\83 | 1127.711 | 72.289 | 8:5 | 1.600 | ||||||
| 125\133 | 1127.820 | 72.180 | 13:8 | 1.625 | ||||||
| 47\50 | 1128.000 | 72.000 | 5:3 | 1.667 | Semisoft 1L 15s | |||||
| 110\117 | 1128.205 | 71.795 | 12:7 | 1.714 | ||||||
| 63\67 | 1128.358 | 71.642 | 7:4 | 1.750 | ||||||
| 79\84 | 1128.571 | 71.429 | 9:5 | 1.800 | ||||||
| 16\17 | 1129.412 | 70.588 | 2:1 | 2.000 | Basic 1L 15s Scales with tunings softer than this are proper | |||||
| 65\69 | 1130.435 | 69.565 | 9:4 | 2.250 | ||||||
| 49\52 | 1130.769 | 69.231 | 7:3 | 2.333 | ||||||
| 82\87 | 1131.034 | 68.966 | 12:5 | 2.400 | ||||||
| 33\35 | 1131.429 | 68.571 | 5:2 | 2.500 | Semihard 1L 15s | |||||
| 83\88 | 1131.818 | 68.182 | 13:5 | 2.600 | ||||||
| 50\53 | 1132.075 | 67.925 | 8:3 | 2.667 | ||||||
| 67\71 | 1132.394 | 67.606 | 11:4 | 2.750 | ||||||
| 17\18 | 1133.333 | 66.667 | 3:1 | 3.000 | Hard 1L 15s | |||||
| 52\55 | 1134.545 | 65.455 | 10:3 | 3.333 | ||||||
| 35\37 | 1135.135 | 64.865 | 7:2 | 3.500 | ||||||
| 53\56 | 1135.714 | 64.286 | 11:3 | 3.667 | ||||||
| 18\19 | 1136.842 | 63.158 | 4:1 | 4.000 | Superhard 1L 15s | |||||
| 37\39 | 1138.462 | 61.538 | 9:2 | 4.500 | ||||||
| 19\20 | 1140.000 | 60.000 | 5:1 | 5.000 | ||||||
| 20\21 | 1142.857 | 57.143 | 6:1 | 6.000 | ||||||
| 1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 15s | |||||