2L 16s
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Scale structure
Step pattern
LssssssssLssssssss
ssssssssLssssssssL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Generator size
Bright
8\18 to 1\2 (533.3¢ to 600.0¢)
Dark
0\2 to 1\18 (0.0¢ to 66.7¢)
TAMNAMS information
Descends from
2L 8s (jaric)
Ancestor's step ratio range
5:1 to 1:0
Related MOS scales
Parent
2L 14s
Sister
16L 2s
Daughters
18L 2s, 2L 18s
Neutralized
4L 14s
2-Flought
20L 16s, 2L 34s
Equal tunings
Equalized (L:s = 1:1)
8\18 (533.3¢)
Supersoft (L:s = 4:3)
25\56 (535.7¢)
Soft (L:s = 3:2)
17\38 (536.8¢)
Semisoft (L:s = 5:3)
26\58 (537.9¢)
Basic (L:s = 2:1)
9\20 (540.0¢)
Semihard (L:s = 5:2)
19\42 (542.9¢)
Hard (L:s = 3:1)
10\22 (545.5¢)
Superhard (L:s = 4:1)
11\24 (550.0¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
| ↖ 1L 15s | ↑ 2L 15s | 3L 15s ↗ |
| ← 1L 16s | 2L 16s | 3L 16s → |
| ↙ 1L 17s | ↓ 2L 17s | 3L 17s ↘ |
┌╥┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┐ │║││││││││║│││││││││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssssssssLssssssssL
2L 16s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 16 small steps, with a period of 1 large step and 8 small steps that repeats every 600.0¢, or twice every octave. 2L 16s is related to 2L 8s, expanding it by 8 tones. Generators that produce this scale range from 533.3¢ to 600¢, or from 0¢ to 66.7¢.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 16|0(2) | 1 | LssssssssLssssssss |
| 14|2(2) | 9 | sLssssssssLsssssss |
| 12|4(2) | 8 | ssLssssssssLssssss |
| 10|6(2) | 7 | sssLssssssssLsssss |
| 8|8(2) | 6 | ssssLssssssssLssss |
| 6|10(2) | 5 | sssssLssssssssLsss |
| 4|12(2) | 4 | ssssssLssssssssLss |
| 2|14(2) | 3 | sssssssLssssssssLs |
| 0|16(2) | 2 | ssssssssLssssssssL |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0¢ |
| 1-mosstep | Perfect 1-mosstep | P1ms | s | 0.0¢ to 66.7¢ |
| Augmented 1-mosstep | A1ms | L | 66.7¢ to 600.0¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0¢ to 133.3¢ |
| Major 2-mosstep | M2ms | L + s | 133.3¢ to 600.0¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0¢ to 200.0¢ |
| Major 3-mosstep | M3ms | L + 2s | 200.0¢ to 600.0¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 4s | 0.0¢ to 266.7¢ |
| Major 4-mosstep | M4ms | L + 3s | 266.7¢ to 600.0¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 5s | 0.0¢ to 333.3¢ |
| Major 5-mosstep | M5ms | L + 4s | 333.3¢ to 600.0¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 6s | 0.0¢ to 400.0¢ |
| Major 6-mosstep | M6ms | L + 5s | 400.0¢ to 600.0¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 7s | 0.0¢ to 466.7¢ |
| Major 7-mosstep | M7ms | L + 6s | 466.7¢ to 600.0¢ | |
| 8-mosstep | Diminished 8-mosstep | d8ms | 8s | 0.0¢ to 533.3¢ |
| Perfect 8-mosstep | P8ms | L + 7s | 533.3¢ to 600.0¢ | |
| 9-mosstep | Perfect 9-mosstep | P9ms | L + 8s | 600.0¢ |
| 10-mosstep | Perfect 10-mosstep | P10ms | L + 9s | 600.0¢ to 666.7¢ |
| Augmented 10-mosstep | A10ms | 2L + 8s | 666.7¢ to 1200.0¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | L + 10s | 600.0¢ to 733.3¢ |
| Major 11-mosstep | M11ms | 2L + 9s | 733.3¢ to 1200.0¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | L + 11s | 600.0¢ to 800.0¢ |
| Major 12-mosstep | M12ms | 2L + 10s | 800.0¢ to 1200.0¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | L + 12s | 600.0¢ to 866.7¢ |
| Major 13-mosstep | M13ms | 2L + 11s | 866.7¢ to 1200.0¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | L + 13s | 600.0¢ to 933.3¢ |
| Major 14-mosstep | M14ms | 2L + 12s | 933.3¢ to 1200.0¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | L + 14s | 600.0¢ to 1000.0¢ |
| Major 15-mosstep | M15ms | 2L + 13s | 1000.0¢ to 1200.0¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | L + 15s | 600.0¢ to 1066.7¢ |
| Major 16-mosstep | M16ms | 2L + 14s | 1066.7¢ to 1200.0¢ | |
| 17-mosstep | Diminished 17-mosstep | d17ms | L + 16s | 600.0¢ to 1133.3¢ |
| Perfect 17-mosstep | P17ms | 2L + 15s | 1133.3¢ to 1200.0¢ | |
| 18-mosstep | Perfect 18-mosstep | P18ms | 2L + 16s | 1200.0¢ |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 8\18 | 533.333 | 66.667 | 1:1 | 1.000 | Equalized 2L 16s | |||||
| 41\92 | 534.783 | 65.217 | 6:5 | 1.200 | ||||||
| 33\74 | 535.135 | 64.865 | 5:4 | 1.250 | ||||||
| 58\130 | 535.385 | 64.615 | 9:7 | 1.286 | ||||||
| 25\56 | 535.714 | 64.286 | 4:3 | 1.333 | Supersoft 2L 16s | |||||
| 67\150 | 536.000 | 64.000 | 11:8 | 1.375 | ||||||
| 42\94 | 536.170 | 63.830 | 7:5 | 1.400 | ||||||
| 59\132 | 536.364 | 63.636 | 10:7 | 1.429 | ||||||
| 17\38 | 536.842 | 63.158 | 3:2 | 1.500 | Soft 2L 16s | |||||
| 60\134 | 537.313 | 62.687 | 11:7 | 1.571 | ||||||
| 43\96 | 537.500 | 62.500 | 8:5 | 1.600 | ||||||
| 69\154 | 537.662 | 62.338 | 13:8 | 1.625 | ||||||
| 26\58 | 537.931 | 62.069 | 5:3 | 1.667 | Semisoft 2L 16s | |||||
| 61\136 | 538.235 | 61.765 | 12:7 | 1.714 | ||||||
| 35\78 | 538.462 | 61.538 | 7:4 | 1.750 | ||||||
| 44\98 | 538.776 | 61.224 | 9:5 | 1.800 | ||||||
| 9\20 | 540.000 | 60.000 | 2:1 | 2.000 | Basic 2L 16s Scales with tunings softer than this are proper | |||||
| 37\82 | 541.463 | 58.537 | 9:4 | 2.250 | ||||||
| 28\62 | 541.935 | 58.065 | 7:3 | 2.333 | ||||||
| 47\104 | 542.308 | 57.692 | 12:5 | 2.400 | ||||||
| 19\42 | 542.857 | 57.143 | 5:2 | 2.500 | Semihard 2L 16s | |||||
| 48\106 | 543.396 | 56.604 | 13:5 | 2.600 | ||||||
| 29\64 | 543.750 | 56.250 | 8:3 | 2.667 | ||||||
| 39\86 | 544.186 | 55.814 | 11:4 | 2.750 | ||||||
| 10\22 | 545.455 | 54.545 | 3:1 | 3.000 | Hard 2L 16s | |||||
| 31\68 | 547.059 | 52.941 | 10:3 | 3.333 | ||||||
| 21\46 | 547.826 | 52.174 | 7:2 | 3.500 | ||||||
| 32\70 | 548.571 | 51.429 | 11:3 | 3.667 | ||||||
| 11\24 | 550.000 | 50.000 | 4:1 | 4.000 | Superhard 2L 16s | |||||
| 23\50 | 552.000 | 48.000 | 9:2 | 4.500 | ||||||
| 12\26 | 553.846 | 46.154 | 5:1 | 5.000 | ||||||
| 13\28 | 557.143 | 42.857 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 0.000 | 1:0 | → ∞ | Collapsed 2L 16s | |||||