6L 16s
Jump to navigation
Jump to search
Scale structure
Step pattern
LssLsssLsssLssLsssLsss
sssLsssLssLsssLsssLssL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
7\22 to 2\6 (381.8¢ to 400.0¢)
Dark
1\6 to 4\22 (200.0¢ to 218.2¢)
TAMNAMS information
Descends from
6L 4s (lemon)
Required step ratio range
3:1 to 1:0 (hard)
Related MOS scales
Parent
6L 10s
Sister
16L 6s
Daughters
22L 6s
6L 22s
Equal tunings
Equalized (L:s = 1:1)
7\22 (381.8¢)
Supersoft (L:s = 4:3)
23\72 (383.3¢)
Soft (L:s = 3:2)
16\50 (384.0¢)
Semisoft (L:s = 5:3)
25\78 (384.6¢)
Basic (L:s = 2:1)
9\28 (385.7¢)
Semihard (L:s = 5:2)
20\62 (387.1¢)
Hard (L:s = 3:1)
11\34 (388.2¢)
Superhard (L:s = 4:1)
13\40 (390.0¢)
Collapsed (L:s = 1:0)
2\6 (400.0¢)
| ↖5L 15s | ↑6L 15s | 7L 15s↗ |
| ←5L 16s | 6L 16s | 7L 16s→ |
| ↙5L 17s | ↓6L 17s | 7L 17s↘ |
┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬╥┬┬┬╥┬┬┬┐ │║││║│││║│││║││║│││║││││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLsssLssLsssLsssLssL
6L 22s
6L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 16 small steps, with a period of 3 large steps and 8 small steps that repeats every 600.0¢, or twice every octave. 6L 16s is a grandchild scale of 6L 4s, expanding it by 12 tones. Generators that produce this scale range from 381.8¢ to 400¢, or from 200¢ to 218.2¢.
It has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).
| Generator(edo) | Cents | Step Ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 7\22 | 381.818 | 218.182 | 1:1 | 1.000 | Equalized 6L 16s | |||||
| 37\116 | 382.759 | 217.241 | 6:5 | 1.200 | ||||||
| 30\94 | 382.979 | 217.021 | 5:4 | 1.250 | ||||||
| 53\166 | 383.133 | 216.867 | 9:7 | 1.286 | ||||||
| 23\72 | 383.333 | 216.667 | 4:3 | 1.333 | Supersoft 6L 16s | |||||
| 62\194 | 383.505 | 216.495 | 11:8 | 1.375 | ||||||
| 39\122 | 383.607 | 216.393 | 7:5 | 1.400 | ||||||
| 55\172 | 383.721 | 216.279 | 10:7 | 1.429 | ||||||
| 16\50 | 384.000 | 216.000 | 3:2 | 1.500 | Soft 6L 16s | |||||
| 57\178 | 384.270 | 215.730 | 11:7 | 1.571 | ||||||
| 41\128 | 384.375 | 215.625 | 8:5 | 1.600 | ||||||
| 66\206 | 384.466 | 215.534 | 13:8 | 1.625 | ||||||
| 25\78 | 384.615 | 215.385 | 5:3 | 1.667 | Semisoft 6L 16s | |||||
| 59\184 | 384.783 | 215.217 | 12:7 | 1.714 | ||||||
| 34\106 | 384.906 | 215.094 | 7:4 | 1.750 | ||||||
| 43\134 | 385.075 | 214.925 | 9:5 | 1.800 | ||||||
| 9\28 | 385.714 | 214.286 | 2:1 | 2.000 | Basic 6L 16s Scales with tunings softer than this are proper | |||||
| 38\118 | 386.441 | 213.559 | 9:4 | 2.250 | ||||||
| 29\90 | 386.667 | 213.333 | 7:3 | 2.333 | ||||||
| 49\152 | 386.842 | 213.158 | 12:5 | 2.400 | ||||||
| 20\62 | 387.097 | 212.903 | 5:2 | 2.500 | Semihard 6L 16s | |||||
| 51\158 | 387.342 | 212.658 | 13:5 | 2.600 | ||||||
| 31\96 | 387.500 | 212.500 | 8:3 | 2.667 | ||||||
| 42\130 | 387.692 | 212.308 | 11:4 | 2.750 | ||||||
| 11\34 | 388.235 | 211.765 | 3:1 | 3.000 | Hard 6L 16s | |||||
| 35\108 | 388.889 | 211.111 | 10:3 | 3.333 | ||||||
| 24\74 | 389.189 | 210.811 | 7:2 | 3.500 | ||||||
| 37\114 | 389.474 | 210.526 | 11:3 | 3.667 | ||||||
| 13\40 | 390.000 | 210.000 | 4:1 | 4.000 | Superhard 6L 16s | |||||
| 28\86 | 390.698 | 209.302 | 9:2 | 4.500 | ||||||
| 15\46 | 391.304 | 208.696 | 5:1 | 5.000 | ||||||
| 17\52 | 392.308 | 207.692 | 6:1 | 6.000 | ||||||
| 2\6 | 400.000 | 200.000 | 1:0 | → ∞ | Collapsed 6L 16s | |||||