6L 15s
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Scale structure
Step pattern
LssLsssLssLsssLssLsss
sssLssLsssLssLsssLssL
Equave
2/1 (1200.0¢)
Period
1\3 (400.0¢)
Generator size
Bright
3\21 to 1\6 (171.4¢ to 200.0¢)
Dark
1\6 to 4\21 (200.0¢ to 228.6¢)
TAMNAMS information
Descends from
6L 3s (hyrulic)
Ancestor's step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
6L 9s
Sister
15L 6s
Daughters
21L 6s, 6L 21s
Neutralized
12L 9s
2-Flought
27L 15s, 6L 36s
Equal tunings
Equalized (L:s = 1:1)
3\21 (171.4¢)
Supersoft (L:s = 4:3)
10\69 (173.9¢)
Soft (L:s = 3:2)
7\48 (175.0¢)
Semisoft (L:s = 5:3)
11\75 (176.0¢)
Basic (L:s = 2:1)
4\27 (177.8¢)
Semihard (L:s = 5:2)
9\60 (180.0¢)
Hard (L:s = 3:1)
5\33 (181.8¢)
Superhard (L:s = 4:1)
6\39 (184.6¢)
Collapsed (L:s = 1:0)
1\6 (200.0¢)
| ↖ 5L 14s | ↑ 6L 14s | 7L 14s ↗ |
| ← 5L 15s | 6L 15s | 7L 15s → |
| ↙ 5L 16s | ↓ 6L 16s | 7L 16s ↘ |
┌╥┬┬╥┬┬┬╥┬┬╥┬┬┬╥┬┬╥┬┬┬┐ │║││║│││║││║│││║││║││││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLssLsssLssLsssLssL
6L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 15 small steps, with a period of 2 large steps and 5 small steps that repeats every 400.0¢, or 3 times every octave. 6L 15s is a grandchild scale of 6L 3s, expanding it by 12 tones. Generators that produce this scale range from 171.4¢ to 200¢, or from 200¢ to 228.6¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0(3) | 1 | LssLsssLssLsssLssLsss |
| 15|3(3) | 4 | LsssLssLsssLssLsssLss |
| 12|6(3) | 7 | sLssLsssLssLsssLssLss |
| 9|9(3) | 3 | sLsssLssLsssLssLsssLs |
| 6|12(3) | 6 | ssLssLsssLssLsssLssLs |
| 3|15(3) | 2 | ssLsssLssLsssLssLsssL |
| 0|18(3) | 5 | sssLssLsssLssLsssLssL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 3\21 | 171.429 | 228.571 | 1:1 | 1.000 | Equalized 6L 15s | |||||
| 16\111 | 172.973 | 227.027 | 6:5 | 1.200 | ||||||
| 13\90 | 173.333 | 226.667 | 5:4 | 1.250 | ||||||
| 23\159 | 173.585 | 226.415 | 9:7 | 1.286 | ||||||
| 10\69 | 173.913 | 226.087 | 4:3 | 1.333 | Supersoft 6L 15s | |||||
| 27\186 | 174.194 | 225.806 | 11:8 | 1.375 | ||||||
| 17\117 | 174.359 | 225.641 | 7:5 | 1.400 | ||||||
| 24\165 | 174.545 | 225.455 | 10:7 | 1.429 | ||||||
| 7\48 | 175.000 | 225.000 | 3:2 | 1.500 | Soft 6L 15s | |||||
| 25\171 | 175.439 | 224.561 | 11:7 | 1.571 | ||||||
| 18\123 | 175.610 | 224.390 | 8:5 | 1.600 | ||||||
| 29\198 | 175.758 | 224.242 | 13:8 | 1.625 | ||||||
| 11\75 | 176.000 | 224.000 | 5:3 | 1.667 | Semisoft 6L 15s | |||||
| 26\177 | 176.271 | 223.729 | 12:7 | 1.714 | ||||||
| 15\102 | 176.471 | 223.529 | 7:4 | 1.750 | ||||||
| 19\129 | 176.744 | 223.256 | 9:5 | 1.800 | ||||||
| 4\27 | 177.778 | 222.222 | 2:1 | 2.000 | Basic 6L 15s Scales with tunings softer than this are proper | |||||
| 17\114 | 178.947 | 221.053 | 9:4 | 2.250 | ||||||
| 13\87 | 179.310 | 220.690 | 7:3 | 2.333 | ||||||
| 22\147 | 179.592 | 220.408 | 12:5 | 2.400 | ||||||
| 9\60 | 180.000 | 220.000 | 5:2 | 2.500 | Semihard 6L 15s | |||||
| 23\153 | 180.392 | 219.608 | 13:5 | 2.600 | ||||||
| 14\93 | 180.645 | 219.355 | 8:3 | 2.667 | ||||||
| 19\126 | 180.952 | 219.048 | 11:4 | 2.750 | ||||||
| 5\33 | 181.818 | 218.182 | 3:1 | 3.000 | Hard 6L 15s | |||||
| 16\105 | 182.857 | 217.143 | 10:3 | 3.333 | ||||||
| 11\72 | 183.333 | 216.667 | 7:2 | 3.500 | ||||||
| 17\111 | 183.784 | 216.216 | 11:3 | 3.667 | ||||||
| 6\39 | 184.615 | 215.385 | 4:1 | 4.000 | Superhard 6L 15s | |||||
| 13\84 | 185.714 | 214.286 | 9:2 | 4.500 | ||||||
| 7\45 | 186.667 | 213.333 | 5:1 | 5.000 | ||||||
| 8\51 | 188.235 | 211.765 | 6:1 | 6.000 | ||||||
| 1\6 | 200.000 | 200.000 | 1:0 | → ∞ | Collapsed 6L 15s | |||||