15L 6s
Jump to navigation
Jump to search
Scale structure
Step pattern
LLLsLLsLLLsLLsLLLsLLs
sLLsLLLsLLsLLLsLLsLLL
Equave
2/1 (1200.0¢)
Period
1\3 (400.0¢)
Generator size
Bright
4\21 to 3\15 (228.6¢ to 240.0¢)
Dark
2\15 to 3\21 (160.0¢ to 171.4¢)
TAMNAMS information
Descends from
6L 3s (hyrulic)
Ancestor's step ratio range
2:1 to 3:1 (hypohard)
Related MOS scales
Parent
6L 9s
Sister
6L 15s
Daughters
21L 15s, 15L 21s
Neutralized
9L 12s
2-Flought
36L 6s, 15L 27s
Equal tunings
Equalized (L:s = 1:1)
4\21 (228.6¢)
Supersoft (L:s = 4:3)
15\78 (230.8¢)
Soft (L:s = 3:2)
11\57 (231.6¢)
Semisoft (L:s = 5:3)
18\93 (232.3¢)
Basic (L:s = 2:1)
7\36 (233.3¢)
Semihard (L:s = 5:2)
17\87 (234.5¢)
Hard (L:s = 3:1)
10\51 (235.3¢)
Superhard (L:s = 4:1)
13\66 (236.4¢)
Collapsed (L:s = 1:0)
3\15 (240.0¢)
| ↖ 14L 5s | ↑ 15L 5s | 16L 5s ↗ |
| ← 14L 6s | 15L 6s | 16L 6s → |
| ↙ 14L 7s | ↓ 15L 7s | 16L 7s ↘ |
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║│║║║│║║│║║║│║║││ │││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLLsLLsLLLsLLsLLL
15L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 6 small steps, with a period of 5 large steps and 2 small steps that repeats every 400.0¢, or 3 times every octave. 15L 6s is a grandchild scale of 6L 3s, expanding it by 12 tones. Generators that produce this scale range from 228.6¢ to 240¢, or from 160¢ to 171.4¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 18|0(3) | 1 | LLLsLLsLLLsLLsLLLsLLs |
| 15|3(3) | 5 | LLsLLLsLLsLLLsLLsLLLs |
| 12|6(3) | 2 | LLsLLsLLLsLLsLLLsLLsL |
| 9|9(3) | 6 | LsLLLsLLsLLLsLLsLLLsL |
| 6|12(3) | 3 | LsLLsLLLsLLsLLLsLLsLL |
| 3|15(3) | 7 | sLLLsLLsLLLsLLsLLLsLL |
| 0|18(3) | 4 | sLLsLLLsLLsLLLsLLsLLL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 4\21 | 228.571 | 171.429 | 1:1 | 1.000 | Equalized 15L 6s | |||||
| 23\120 | 230.000 | 170.000 | 6:5 | 1.200 | ||||||
| 19\99 | 230.303 | 169.697 | 5:4 | 1.250 | ||||||
| 34\177 | 230.508 | 169.492 | 9:7 | 1.286 | ||||||
| 15\78 | 230.769 | 169.231 | 4:3 | 1.333 | Supersoft 15L 6s | |||||
| 41\213 | 230.986 | 169.014 | 11:8 | 1.375 | ||||||
| 26\135 | 231.111 | 168.889 | 7:5 | 1.400 | ||||||
| 37\192 | 231.250 | 168.750 | 10:7 | 1.429 | ||||||
| 11\57 | 231.579 | 168.421 | 3:2 | 1.500 | Soft 15L 6s | |||||
| 40\207 | 231.884 | 168.116 | 11:7 | 1.571 | ||||||
| 29\150 | 232.000 | 168.000 | 8:5 | 1.600 | ||||||
| 47\243 | 232.099 | 167.901 | 13:8 | 1.625 | ||||||
| 18\93 | 232.258 | 167.742 | 5:3 | 1.667 | Semisoft 15L 6s | |||||
| 43\222 | 232.432 | 167.568 | 12:7 | 1.714 | ||||||
| 25\129 | 232.558 | 167.442 | 7:4 | 1.750 | ||||||
| 32\165 | 232.727 | 167.273 | 9:5 | 1.800 | ||||||
| 7\36 | 233.333 | 166.667 | 2:1 | 2.000 | Basic 15L 6s Scales with tunings softer than this are proper | |||||
| 31\159 | 233.962 | 166.038 | 9:4 | 2.250 | ||||||
| 24\123 | 234.146 | 165.854 | 7:3 | 2.333 | ||||||
| 41\210 | 234.286 | 165.714 | 12:5 | 2.400 | ||||||
| 17\87 | 234.483 | 165.517 | 5:2 | 2.500 | Semihard 15L 6s | |||||
| 44\225 | 234.667 | 165.333 | 13:5 | 2.600 | ||||||
| 27\138 | 234.783 | 165.217 | 8:3 | 2.667 | ||||||
| 37\189 | 234.921 | 165.079 | 11:4 | 2.750 | ||||||
| 10\51 | 235.294 | 164.706 | 3:1 | 3.000 | Hard 15L 6s | |||||
| 33\168 | 235.714 | 164.286 | 10:3 | 3.333 | ||||||
| 23\117 | 235.897 | 164.103 | 7:2 | 3.500 | ||||||
| 36\183 | 236.066 | 163.934 | 11:3 | 3.667 | ||||||
| 13\66 | 236.364 | 163.636 | 4:1 | 4.000 | Superhard 15L 6s | |||||
| 29\147 | 236.735 | 163.265 | 9:2 | 4.500 | ||||||
| 16\81 | 237.037 | 162.963 | 5:1 | 5.000 | ||||||
| 19\96 | 237.500 | 162.500 | 6:1 | 6.000 | ||||||
| 3\15 | 240.000 | 160.000 | 1:0 | → ∞ | Collapsed 15L 6s | |||||