16L 6s
Jump to navigation
Jump to search
Scale structure
Step pattern
LLLsLLLsLLsLLLsLLLsLLs
sLLsLLLsLLLsLLsLLLsLLL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
4\22 to 3\16 (218.2¢ to 225.0¢)
Dark
5\16 to 7\22 (375.0¢ to 381.8¢)
TAMNAMS information
Descends from
6L 4s (lemon)
Ancestor's step ratio range
2:1 to 3:1 (hypohard)
Related MOS scales
Parent
6L 10s
Sister
6L 16s
Daughters
22L 16s, 16L 22s
Neutralized
10L 12s
2-Flought
38L 6s, 16L 28s
Equal tunings
Equalized (L:s = 1:1)
4\22 (218.2¢)
Supersoft (L:s = 4:3)
15\82 (219.5¢)
Soft (L:s = 3:2)
11\60 (220.0¢)
Semisoft (L:s = 5:3)
18\98 (220.4¢)
Basic (L:s = 2:1)
7\38 (221.1¢)
Semihard (L:s = 5:2)
17\92 (221.7¢)
Hard (L:s = 3:1)
10\54 (222.2¢)
Superhard (L:s = 4:1)
13\70 (222.9¢)
Collapsed (L:s = 1:0)
3\16 (225.0¢)
| ↖ 15L 5s | ↑ 16L 5s | 17L 5s ↗ |
| ← 15L 6s | 16L 6s | 17L 6s → |
| ↙ 15L 7s | ↓ 16L 7s | 17L 7s ↘ |
┌╥╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║║│║║│║║║│║║║│║║││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLsLLLsLLLsLLsLLLsLLL
16L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 6 small steps, with a period of 8 large steps and 3 small steps that repeats every 600.0¢, or twice every octave. 16L 6s is a grandchild scale of 6L 4s, expanding it by 12 tones. Generators that produce this scale range from 218.2¢ to 225¢, or from 375¢ to 381.8¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 20|0(2) | 1 | LLLsLLLsLLsLLLsLLLsLLs |
| 18|2(2) | 5 | LLLsLLsLLLsLLLsLLsLLLs |
| 16|4(2) | 9 | LLsLLLsLLLsLLsLLLsLLLs |
| 14|6(2) | 2 | LLsLLLsLLsLLLsLLLsLLsL |
| 12|8(2) | 6 | LLsLLsLLLsLLLsLLsLLLsL |
| 10|10(2) | 10 | LsLLLsLLLsLLsLLLsLLLsL |
| 8|12(2) | 3 | LsLLLsLLsLLLsLLLsLLsLL |
| 6|14(2) | 7 | LsLLsLLLsLLLsLLsLLLsLL |
| 4|16(2) | 11 | sLLLsLLLsLLsLLLsLLLsLL |
| 2|18(2) | 4 | sLLLsLLsLLLsLLLsLLsLLL |
| 0|20(2) | 8 | sLLsLLLsLLLsLLsLLLsLLL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 4\22 | 218.182 | 381.818 | 1:1 | 1.000 | Equalized 16L 6s | |||||
| 23\126 | 219.048 | 380.952 | 6:5 | 1.200 | ||||||
| 19\104 | 219.231 | 380.769 | 5:4 | 1.250 | ||||||
| 34\186 | 219.355 | 380.645 | 9:7 | 1.286 | ||||||
| 15\82 | 219.512 | 380.488 | 4:3 | 1.333 | Supersoft 16L 6s | |||||
| 41\224 | 219.643 | 380.357 | 11:8 | 1.375 | ||||||
| 26\142 | 219.718 | 380.282 | 7:5 | 1.400 | ||||||
| 37\202 | 219.802 | 380.198 | 10:7 | 1.429 | ||||||
| 11\60 | 220.000 | 380.000 | 3:2 | 1.500 | Soft 16L 6s | |||||
| 40\218 | 220.183 | 379.817 | 11:7 | 1.571 | ||||||
| 29\158 | 220.253 | 379.747 | 8:5 | 1.600 | ||||||
| 47\256 | 220.312 | 379.688 | 13:8 | 1.625 | ||||||
| 18\98 | 220.408 | 379.592 | 5:3 | 1.667 | Semisoft 16L 6s | |||||
| 43\234 | 220.513 | 379.487 | 12:7 | 1.714 | ||||||
| 25\136 | 220.588 | 379.412 | 7:4 | 1.750 | ||||||
| 32\174 | 220.690 | 379.310 | 9:5 | 1.800 | ||||||
| 7\38 | 221.053 | 378.947 | 2:1 | 2.000 | Basic 16L 6s Scales with tunings softer than this are proper | |||||
| 31\168 | 221.429 | 378.571 | 9:4 | 2.250 | ||||||
| 24\130 | 221.538 | 378.462 | 7:3 | 2.333 | ||||||
| 41\222 | 221.622 | 378.378 | 12:5 | 2.400 | ||||||
| 17\92 | 221.739 | 378.261 | 5:2 | 2.500 | Semihard 16L 6s | |||||
| 44\238 | 221.849 | 378.151 | 13:5 | 2.600 | ||||||
| 27\146 | 221.918 | 378.082 | 8:3 | 2.667 | ||||||
| 37\200 | 222.000 | 378.000 | 11:4 | 2.750 | ||||||
| 10\54 | 222.222 | 377.778 | 3:1 | 3.000 | Hard 16L 6s | |||||
| 33\178 | 222.472 | 377.528 | 10:3 | 3.333 | ||||||
| 23\124 | 222.581 | 377.419 | 7:2 | 3.500 | ||||||
| 36\194 | 222.680 | 377.320 | 11:3 | 3.667 | ||||||
| 13\70 | 222.857 | 377.143 | 4:1 | 4.000 | Superhard 16L 6s | |||||
| 29\156 | 223.077 | 376.923 | 9:2 | 4.500 | ||||||
| 16\86 | 223.256 | 376.744 | 5:1 | 5.000 | ||||||
| 19\102 | 223.529 | 376.471 | 6:1 | 6.000 | ||||||
| 3\16 | 225.000 | 375.000 | 1:0 | → ∞ | Collapsed 16L 6s | |||||