16L 2s
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Scale structure
Step pattern
LLLLLLLLsLLLLLLLLs
sLLLLLLLLsLLLLLLLL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
1\18 to 1\16 (66.7¢ to 75.0¢)
Dark
7\16 to 8\18 (525.0¢ to 533.3¢)
TAMNAMS information
Descends from
2L 8s (jaric)
Ancestor's step ratio range
4:1 to 5:1
Related MOS scales
Parent
2L 14s
Sister
2L 16s
Daughters
18L 16s, 16L 18s
Neutralized
14L 4s
2-Flought
34L 2s, 16L 20s
Equal tunings
Equalized (L:s = 1:1)
1\18 (66.7¢)
Supersoft (L:s = 4:3)
4\70 (68.6¢)
Soft (L:s = 3:2)
3\52 (69.2¢)
Semisoft (L:s = 5:3)
5\86 (69.8¢)
Basic (L:s = 2:1)
2\34 (70.6¢)
Semihard (L:s = 5:2)
5\84 (71.4¢)
Hard (L:s = 3:1)
3\50 (72.0¢)
Superhard (L:s = 4:1)
4\66 (72.7¢)
Collapsed (L:s = 1:0)
1\16 (75.0¢)
| ↖ 15L 1s | ↑ 16L 1s | 17L 1s ↗ |
| ← 15L 2s | 16L 2s | 17L 2s → |
| ↙ 15L 3s | ↓ 16L 3s | 17L 3s ↘ |
┌╥╥╥╥╥╥╥╥┬╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║│║║║║║║║║││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLLLLLLLLsLLLLLLLL
16L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 2 small steps, with a period of 8 large steps and 1 small step that repeats every 600.0¢, or twice every octave. 16L 2s is related to 2L 8s, expanding it by 8 tones. Generators that produce this scale range from 66.7¢ to 75¢, or from 525¢ to 533.3¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.
Modes
| UDP | Cyclic Order |
Step Pattern |
|---|---|---|
| 16|0(2) | 1 | LLLLLLLLsLLLLLLLLs |
| 14|2(2) | 2 | LLLLLLLsLLLLLLLLsL |
| 12|4(2) | 3 | LLLLLLsLLLLLLLLsLL |
| 10|6(2) | 4 | LLLLLsLLLLLLLLsLLL |
| 8|8(2) | 5 | LLLLsLLLLLLLLsLLLL |
| 6|10(2) | 6 | LLLsLLLLLLLLsLLLLL |
| 4|12(2) | 7 | LLsLLLLLLLLsLLLLLL |
| 2|14(2) | 8 | LsLLLLLLLLsLLLLLLL |
| 0|16(2) | 9 | sLLLLLLLLsLLLLLLLL |
Scale tree
| Generator(edo) | Cents | Step Ratio | Comments(always proper) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 1\18 | 66.667 | 533.333 | 1:1 | 1.000 | Equalized 16L 2s | |||||
| 6\106 | 67.925 | 532.075 | 6:5 | 1.200 | ||||||
| 5\88 | 68.182 | 531.818 | 5:4 | 1.250 | ||||||
| 9\158 | 68.354 | 531.646 | 9:7 | 1.286 | ||||||
| 4\70 | 68.571 | 531.429 | 4:3 | 1.333 | Supersoft 16L 2s | |||||
| 11\192 | 68.750 | 531.250 | 11:8 | 1.375 | ||||||
| 7\122 | 68.852 | 531.148 | 7:5 | 1.400 | ||||||
| 10\174 | 68.966 | 531.034 | 10:7 | 1.429 | ||||||
| 3\52 | 69.231 | 530.769 | 3:2 | 1.500 | Soft 16L 2s | |||||
| 11\190 | 69.474 | 530.526 | 11:7 | 1.571 | ||||||
| 8\138 | 69.565 | 530.435 | 8:5 | 1.600 | ||||||
| 13\224 | 69.643 | 530.357 | 13:8 | 1.625 | ||||||
| 5\86 | 69.767 | 530.233 | 5:3 | 1.667 | Semisoft 16L 2s | |||||
| 12\206 | 69.903 | 530.097 | 12:7 | 1.714 | ||||||
| 7\120 | 70.000 | 530.000 | 7:4 | 1.750 | ||||||
| 9\154 | 70.130 | 529.870 | 9:5 | 1.800 | ||||||
| 2\34 | 70.588 | 529.412 | 2:1 | 2.000 | Basic 16L 2s | |||||
| 9\152 | 71.053 | 528.947 | 9:4 | 2.250 | ||||||
| 7\118 | 71.186 | 528.814 | 7:3 | 2.333 | ||||||
| 12\202 | 71.287 | 528.713 | 12:5 | 2.400 | ||||||
| 5\84 | 71.429 | 528.571 | 5:2 | 2.500 | Semihard 16L 2s | |||||
| 13\218 | 71.560 | 528.440 | 13:5 | 2.600 | ||||||
| 8\134 | 71.642 | 528.358 | 8:3 | 2.667 | ||||||
| 11\184 | 71.739 | 528.261 | 11:4 | 2.750 | ||||||
| 3\50 | 72.000 | 528.000 | 3:1 | 3.000 | Hard 16L 2s | |||||
| 10\166 | 72.289 | 527.711 | 10:3 | 3.333 | ||||||
| 7\116 | 72.414 | 527.586 | 7:2 | 3.500 | ||||||
| 11\182 | 72.527 | 527.473 | 11:3 | 3.667 | ||||||
| 4\66 | 72.727 | 527.273 | 4:1 | 4.000 | Superhard 16L 2s | |||||
| 9\148 | 72.973 | 527.027 | 9:2 | 4.500 | ||||||
| 5\82 | 73.171 | 526.829 | 5:1 | 5.000 | ||||||
| 6\98 | 73.469 | 526.531 | 6:1 | 6.000 | ||||||
| 1\16 | 75.000 | 525.000 | 1:0 | → ∞ | Collapsed 16L 2s | |||||