2L 12s
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Step pattern
LssssssLssssss
ssssssLssssssL
Equave
2/1 (1200.0 ¢)
Period
1\2 (600.0 ¢)
Bright
6\14 to 1\2 (514.3 ¢ to 600.0 ¢)
Dark
0\2 to 1\14 (0.0 ¢ to 85.7 ¢)
Descends from
2L 8s (jaric)
Ancestor's step ratio range
3:1 to 1:0 (hard)
Parent
2L 10s
Sister
12L 2s
Daughters
14L 2s, 2L 14s
Neutralized
4L 10s
2-Flought
16L 12s, 2L 26s
Equalized (L:s = 1:1)
6\14 (514.3 ¢)
Supersoft (L:s = 4:3)
19\44 (518.2 ¢)
Soft (L:s = 3:2)
13\30 (520.0 ¢)
Semisoft (L:s = 5:3)
20\46 (521.7 ¢)
Basic (L:s = 2:1)
7\16 (525.0 ¢)
Semihard (L:s = 5:2)
15\34 (529.4 ¢)
Hard (L:s = 3:1)
8\18 (533.3 ¢)
Superhard (L:s = 4:1)
9\20 (540.0 ¢)
Collapsed (L:s = 1:0)
1\2 (600.0 ¢)
| ↖ 1L 11s | ↑ 2L 11s | 3L 11s ↗ |
| ← 1L 12s | 2L 12s | 3L 12s → |
| ↙ 1L 13s | ↓ 2L 13s | 3L 13s ↘ |
┌╥┬┬┬┬┬┬╥┬┬┬┬┬┬┐ │║││││││║│││││││ ││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssssssLssssssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
2L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 12 small steps, with a period of 1 large step and 6 small steps that repeats every 600.0 ¢, or twice every octave. 2L 12s is a grandchild scale of 2L 8s, expanding it by 4 tones. Generators that produce this scale range from 514.3 ¢ to 600 ¢, or from 0 ¢ to 85.7 ¢.
Scale properties
- This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.
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 85.7 ¢ |
| Augmented 1-mosstep | A1ms | L | 85.7 ¢ to 600.0 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | 2s | 0.0 ¢ to 171.4 ¢ |
| Major 2-mosstep | M2ms | L + s | 171.4 ¢ to 600.0 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 3s | 0.0 ¢ to 257.1 ¢ |
| Major 3-mosstep | M3ms | L + 2s | 257.1 ¢ to 600.0 ¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 4s | 0.0 ¢ to 342.9 ¢ |
| Major 4-mosstep | M4ms | L + 3s | 342.9 ¢ to 600.0 ¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 5s | 0.0 ¢ to 428.6 ¢ |
| Major 5-mosstep | M5ms | L + 4s | 428.6 ¢ to 600.0 ¢ | |
| 6-mosstep | Diminished 6-mosstep | d6ms | 6s | 0.0 ¢ to 514.3 ¢ |
| Perfect 6-mosstep | P6ms | L + 5s | 514.3 ¢ to 600.0 ¢ | |
| 7-mosstep | Perfect 7-mosstep | P7ms | L + 6s | 600.0 ¢ |
| 8-mosstep | Perfect 8-mosstep | P8ms | L + 7s | 600.0 ¢ to 685.7 ¢ |
| Augmented 8-mosstep | A8ms | 2L + 6s | 685.7 ¢ to 1200.0 ¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | L + 8s | 600.0 ¢ to 771.4 ¢ |
| Major 9-mosstep | M9ms | 2L + 7s | 771.4 ¢ to 1200.0 ¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | L + 9s | 600.0 ¢ to 857.1 ¢ |
| Major 10-mosstep | M10ms | 2L + 8s | 857.1 ¢ to 1200.0 ¢ | |
| 11-mosstep | Minor 11-mosstep | m11ms | L + 10s | 600.0 ¢ to 942.9 ¢ |
| Major 11-mosstep | M11ms | 2L + 9s | 942.9 ¢ to 1200.0 ¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | L + 11s | 600.0 ¢ to 1028.6 ¢ |
| Major 12-mosstep | M12ms | 2L + 10s | 1028.6 ¢ to 1200.0 ¢ | |
| 13-mosstep | Diminished 13-mosstep | d13ms | L + 12s | 600.0 ¢ to 1114.3 ¢ |
| Perfect 13-mosstep | P13ms | 2L + 11s | 1114.3 ¢ to 1200.0 ¢ | |
| 14-mosstep | Perfect 14-mosstep | P14ms | 2L + 12s | 1200.0 ¢ |
Generator chain
| Bright gens | Scale degree | Abbrev. | Scale degree | Abbrev. |
|---|---|---|---|---|
| 7 | Augmented 0-mosdegree | A0md | Augmented 7-mosdegree | A7md |
| 6 | Augmented 1-mosdegree | A1md | Augmented 8-mosdegree | A8md |
| 5 | Major 2-mosdegree | M2md | Major 9-mosdegree | M9md |
| 4 | Major 3-mosdegree | M3md | Major 10-mosdegree | M10md |
| 3 | Major 4-mosdegree | M4md | Major 11-mosdegree | M11md |
| 2 | Major 5-mosdegree | M5md | Major 12-mosdegree | M12md |
| 1 | Perfect 6-mosdegree | P6md | Perfect 13-mosdegree | P13md |
| 0 | Perfect 0-mosdegree Perfect 7-mosdegree |
P0md P7md |
Perfect 7-mosdegree Perfect 14-mosdegree |
P7md P14md |
| −1 | Perfect 1-mosdegree | P1md | Perfect 8-mosdegree | P8md |
| −2 | Minor 2-mosdegree | m2md | Minor 9-mosdegree | m9md |
| −3 | Minor 3-mosdegree | m3md | Minor 10-mosdegree | m10md |
| −4 | Minor 4-mosdegree | m4md | Minor 11-mosdegree | m11md |
| −5 | Minor 5-mosdegree | m5md | Minor 12-mosdegree | m12md |
| −6 | Diminished 6-mosdegree | d6md | Diminished 13-mosdegree | d13md |
| −7 | Diminished 7-mosdegree | d7md | Diminished 14-mosdegree | d14md |
Modes
| UDP | Cyclic order |
Step pattern |
Scale degree (mosdegree) | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | |||
| 12|0(2) | 1 | LssssssLssssss | Perf. | Aug. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. | Aug. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 10|2(2) | 7 | sLssssssLsssss | Perf. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 8|4(2) | 6 | ssLssssssLssss | Perf. | Perf. | Min. | Maj. | Maj. | Maj. | Perf. | Perf. | Perf. | Min. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 6|6(2) | 5 | sssLssssssLsss | Perf. | Perf. | Min. | Min. | Maj. | Maj. | Perf. | Perf. | Perf. | Min. | Min. | Maj. | Maj. | Perf. | Perf. |
| 4|8(2) | 4 | ssssLssssssLss | Perf. | Perf. | Min. | Min. | Min. | Maj. | Perf. | Perf. | Perf. | Min. | Min. | Min. | Maj. | Perf. | Perf. |
| 2|10(2) | 3 | sssssLssssssLs | Perf. | Perf. | Min. | Min. | Min. | Min. | Perf. | Perf. | Perf. | Min. | Min. | Min. | Min. | Perf. | Perf. |
| 0|12(2) | 2 | ssssssLssssssL | Perf. | Perf. | Min. | Min. | Min. | Min. | Dim. | Perf. | Perf. | Min. | Min. | Min. | Min. | Dim. | Perf. |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 6\14 | 514.286 | 85.714 | 1:1 | 1.000 | Equalized 2L 12s | |||||
| 31\72 | 516.667 | 83.333 | 6:5 | 1.200 | Harry is around here | |||||
| 25\58 | 517.241 | 82.759 | 5:4 | 1.250 | ||||||
| 44\102 | 517.647 | 82.353 | 9:7 | 1.286 | ||||||
| 19\44 | 518.182 | 81.818 | 4:3 | 1.333 | Supersoft 2L 12s | |||||
| 51\118 | 518.644 | 81.356 | 11:8 | 1.375 | ||||||
| 32\74 | 518.919 | 81.081 | 7:5 | 1.400 | Bipelog is optimal around here | |||||
| 45\104 | 519.231 | 80.769 | 10:7 | 1.429 | ||||||
| 13\30 | 520.000 | 80.000 | 3:2 | 1.500 | Soft 2L 12s | |||||
| 46\106 | 520.755 | 79.245 | 11:7 | 1.571 | ||||||
| 33\76 | 521.053 | 78.947 | 8:5 | 1.600 | ||||||
| 53\122 | 521.311 | 78.689 | 13:8 | 1.625 | ||||||
| 20\46 | 521.739 | 78.261 | 5:3 | 1.667 | Semisoft 2L 12s | |||||
| 47\108 | 522.222 | 77.778 | 12:7 | 1.714 | ||||||
| 27\62 | 522.581 | 77.419 | 7:4 | 1.750 | Semivalentine is around here | |||||
| 34\78 | 523.077 | 76.923 | 9:5 | 1.800 | ||||||
| 7\16 | 525.000 | 75.000 | 2:1 | 2.000 | Basic 2L 12s Scales with tunings softer than this are proper | |||||
| 29\66 | 527.273 | 72.727 | 9:4 | 2.250 | ||||||
| 22\50 | 528.000 | 72.000 | 7:3 | 2.333 | ||||||
| 37\84 | 528.571 | 71.429 | 12:5 | 2.400 | ||||||
| 15\34 | 529.412 | 70.588 | 5:2 | 2.500 | Semihard 2L 12s | |||||
| 38\86 | 530.233 | 69.767 | 13:5 | 2.600 | ||||||
| 23\52 | 530.769 | 69.231 | 8:3 | 2.667 | ||||||
| 31\70 | 531.429 | 68.571 | 11:4 | 2.750 | ||||||
| 8\18 | 533.333 | 66.667 | 3:1 | 3.000 | Hard 2L 12s | |||||
| 25\56 | 535.714 | 64.286 | 10:3 | 3.333 | ||||||
| 17\38 | 536.842 | 63.158 | 7:2 | 3.500 | ||||||
| 26\58 | 537.931 | 62.069 | 11:3 | 3.667 | ||||||
| 9\20 | 540.000 | 60.000 | 4:1 | 4.000 | Superhard 2L 12s | |||||
| 19\42 | 542.857 | 57.143 | 9:2 | 4.500 | ||||||
| 10\22 | 545.455 | 54.545 | 5:1 | 5.000 | ||||||
| 11\24 | 550.000 | 50.000 | 6:1 | 6.000 | ||||||
| 1\2 | 600.000 | 0.000 | 1:0 | → ∞ | Collapsed 2L 12s | |||||
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