2L 10s
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Scale structure
Step pattern
LsssssLsssss
sssssLsssssL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Step size ranges
Large
1\12 to 1\2 (100.0¢ to 600.0¢)
Small
0\2 to 1\12 (0.0¢ to 100.0¢)
Generator size
Bright
5\12 to 1\2 (500.0¢ to 600.0¢)
Dark
0\2 to 1\12 (0.0¢ to 100.0¢)
TAMNAMS information
Descends from
2L 8s (jaric)
Related MOS scales
Parent
2L 8s
Sister
10L 2s
Daughters
12L 2s
2L 12s
Equal tunings
Equalized (L:s = 1:1)
5\12 (500.0¢)
Supersoft (L:s = 4:3)
16\38 (505.3¢)
Soft (L:s = 3:2)
11\26 (507.7¢)
Semisoft (L:s = 5:3)
17\40 (510.0¢)
Basic (L:s = 2:1)
6\14 (514.3¢)
Semihard (L:s = 5:2)
13\30 (520.0¢)
Hard (L:s = 3:1)
7\16 (525.0¢)
Superhard (L:s = 4:1)
8\18 (533.3¢)
Collapsed (L:s = 1:0)
1\2 (600.0¢)
Todo: review
Adopt scale tree template, review entries
| ↖1L 9s | ↑2L 9s | 3L 9s↗ |
| ←1L 10s | 2L 10s | 3L 10s→ |
| ↙1L 11s | ↓2L 11s | 3L 11s↘ |
┌╥┬┬┬┬┬╥┬┬┬┬┬┐ │║│││││║││││││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
sssssLsssssL
2L 12s
2L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 10 small steps, with a period of 1 large step and 5 small steps that repeats every 600.0¢, or twice every octave. 2L 10s is a child scale of 2L 8s, expanding it by 2 tones. Generators that produce this scale range from 500¢ to 600¢, or from 0¢ to 100¢.
2L 10s appears as the chromatic scale of injera and shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root. The name for this MOS scale is p-chro jaric.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 10|0(2) | 1 | LsssssLsssss |
| 8|2(2) | 6 | sLsssssLssss |
| 6|4(2) | 5 | ssLsssssLsss |
| 4|6(2) | 4 | sssLsssssLss |
| 2|8(2) | 3 | ssssLsssssLs |
| 0|10(2) | 2 | sssssLsssssL |
Scale tree
Note: the following table uses the dark generator.
Generator ranges:
- Bright generator: 500 cents (5\12) to 600 cents (1\2)
- Dark generator: 0 cents (0\2) to 100 cents (1\12)
| Small step (dark generator) |
Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1\12 | 100.000 | 1 | 1 | 1.000 | ||||||
| 5\62 | 96.774 | 6 | 5 | 1.200 | ||||||
| 4\50 | 96.000 | 5 | 4 | 1.250 | ||||||
| 7\88 | 95.455 | 9 | 7 | 1.286 | ||||||
| 3\38 | 94.737 | 4 | 3 | 1.333 | ||||||
| 8\102 | 94.118 | 11 | 8 | 1.375 | ||||||
| 5\64 | 93.750 | 7 | 5 | 1.400 | ||||||
| 7\90 | 93.333 | 10 | 7 | 1.429 | ||||||
| 2\26 | 92.308 | 3 | 2 | 1.500 | Injera | |||||
| 7\92 | 91.304 | 11 | 7 | 1.571 | ||||||
| 5\66 | 90.909 | 8 | 5 | 1.600 | ||||||
| 8\106 | 90.566 | 13 | 8 | 1.625 | Unnamed golden tuning (90.6614¢) | |||||
| 3\40 | 90.000 | 5 | 3 | 1.667 | ||||||
| 7\94 | 89.362 | 12 | 7 | 1.714 | ||||||
| 4\54 | 88.889 | 7 | 4 | 1.750 | ||||||
| 5\68 | 88.235 | 9 | 5 | 1.800 | ||||||
| 1\14 | 85.714 | 2 | 1 | 2.000 | Basic 2L 10s (Generators larger than this are proper) | |||||
| 4\58 | 82.759 | 9 | 4 | 2.250 | ||||||
| 3\44 | 81.818 | 7 | 3 | 2.333 | ||||||
| 5\74 | 81.081 | 12 | 5 | 2.400 | ||||||
| 2\30 | 80.000 | 5 | 2 | 2.500 | ||||||
| 5\76 | 78.947 | 13 | 5 | 2.600 | Unnamed golden tuning (78.7605¢) | |||||
| 3\46 | 78.261 | 8 | 3 | 2.667 | ||||||
| 4\62 | 77.419 | 11 | 4 | 2.750 | ||||||
| 1\16 | 75.000 | 3 | 1 | 3.000 | ||||||
| 3\50 | 72.000 | 10 | 3 | 3.333 | Vishnu/vishnean | |||||
| 2\34 | 70.588 | 7 | 2 | 3.500 | ||||||
| 3\52 | 69.231 | 11 | 3 | 3.667 | ||||||
| 1\18 | 66.667 | 4 | 1 | 4.000 | ||||||
| 2\38 | 63.158 | 9 | 2 | 4.500 | ||||||
| 1\20 | 60.000 | 5 | 1 | 5.000 | ||||||
| 1\22 | 54.545 | 6 | 1 | 6.000 | Shrutar | |||||
| 0\2 | 0 | 1 | 0 | → inf | ||||||