7L 13s
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Scale structure
Step pattern
LsLssLssLssLssLssLss
ssLssLssLssLssLssLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
17\20 to 6\7 (1020.0¢ to 1028.6¢)
Dark
1\7 to 3\20 (171.4¢ to 180.0¢)
TAMNAMS information
Descends from
6L 1s (archaeotonic)
Required step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
7L 6s
Sister
13L 7s
Daughters
20L 7s
7L 20s
Equal tunings
Equalized (L:s = 1:1)
17\20 (1020.0¢)
Supersoft (L:s = 4:3)
57\67 (1020.9¢)
Soft (L:s = 3:2)
40\47 (1021.3¢)
Semisoft (L:s = 5:3)
63\74 (1021.6¢)
Basic (L:s = 2:1)
23\27 (1022.2¢)
Semihard (L:s = 5:2)
52\61 (1023.0¢)
Hard (L:s = 3:1)
29\34 (1023.5¢)
Superhard (L:s = 4:1)
35\41 (1024.4¢)
Collapsed (L:s = 1:0)
6\7 (1028.6¢)
Todo: review
Adopt scale tree template, review entries
| ↖6L 12s | ↑7L 12s | 8L 12s↗ |
| ←6L 13s | 7L 13s | 8L 13s→ |
| ↙6L 14s | ↓7L 14s | 8L 14s↘ |
┌╥┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║││║││║││║│││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLssLssLssLsL
7L 20s
7L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 13 small steps, repeating every octave. 7L 13s is a grandchild scale of 6L 1s, expanding it by 13 tones. Generators that produce this scale range from 1020¢ to 1028.6¢, or from 171.4¢ to 180¢.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 19|0 | 1 | LsLssLssLssLssLssLss |
| 18|1 | 18 | LssLsLssLssLssLssLss |
| 17|2 | 15 | LssLssLsLssLssLssLss |
| 16|3 | 12 | LssLssLssLsLssLssLss |
| 15|4 | 9 | LssLssLssLssLsLssLss |
| 14|5 | 6 | LssLssLssLssLssLsLss |
| 13|6 | 3 | LssLssLssLssLssLssLs |
| 12|7 | 20 | sLsLssLssLssLssLssLs |
| 11|8 | 17 | sLssLsLssLssLssLssLs |
| 10|9 | 14 | sLssLssLsLssLssLssLs |
| 9|10 | 11 | sLssLssLssLsLssLssLs |
| 8|11 | 8 | sLssLssLssLssLsLssLs |
| 7|12 | 5 | sLssLssLssLssLssLsLs |
| 6|13 | 2 | sLssLssLssLssLssLssL |
| 5|14 | 19 | ssLsLssLssLssLssLssL |
| 4|15 | 16 | ssLssLsLssLssLssLssL |
| 3|16 | 13 | ssLssLssLsLssLssLssL |
| 2|17 | 10 | ssLssLssLssLsLssLssL |
| 1|18 | 7 | ssLssLssLssLssLsLssL |
| 0|19 | 4 | ssLssLssLssLssLssLsL |
Tuning spectrum
Tetracot / enipucrop range. See also 7L 6s 7L 13s and 13L 7s.
| generator | L | s | L/s | gen (cents) | comment | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1\7 | 1 | 0 | 171.429 | |||||||||
| 10\69 | 8 | 1 | 8.000 | 173.913 | ||||||||
| 9\62 | 7 | 1 | 7.000 | 174.194 | ^ Enipucrop | |||||||
| 8\55 | 6 | 1 | 6.000 | 174.545 | ||||||||
| 15\103 | 11 | 2 | 5.500 | 174.757 | ||||||||
| 7\48 | 5 | 1 | 5.000 | 175.000 | ||||||||
| 13\89 | 9 | 2 | 4.500 | 175.281 | Sesquiquartififths | |||||||
| 6\41 | 4 | 1 | 4.000 | 175.610 | Monkey | |||||||
| 17\116 | 11 | 3 | 3.667 | 175.862 | Bunya | |||||||
| 11\75 | 7 | 2 | 3.500 | 176.000 | ||||||||
| 16\109 | 10 | 3 | 3.333 | 176.147 | Tetracot | |||||||
| 5\34 | 3 | 1 | 3.000 | 176.471 | ||||||||
| 14\95 | 8 | 3 | 2.667 | 176.842 | Modus | |||||||
| 9\61 | 5 | 2 | 2.500 | 177.049 | ||||||||
| 13\88 | 7 | 3 | 2.333 | 177.273 | Ponens | |||||||
| 17\115 | 9 | 4 | 2.250 | 177.391 | Wollemia | |||||||
| 4\27 | 2 | 1 | 2.000 | 177.778 | ||||||||
| 15\101 | 7 | 4 | 1.750 | 178.218 | ||||||||
| 11\74 | 5 | 3 | 1.667 | 178.378 | ||||||||
| 7\47 | 3 | 2 | 1.500 | 178.723 | ||||||||
| 17\114 | 7 | 5 | 1.400 | 178.947 | ||||||||
| 10\67 | 4 | 3 | 1.333 | 179.104 | ||||||||
| 13\87 | 5 | 4 | 1.250 | 179.310 | ||||||||
| 16\107 | 6 | 5 | 1.200 | 179.439 | ||||||||
| 19\127 | 7 | 6 | 1.167 | 179.528 | ||||||||
| 22\147 | 8 | 7 | 1.143 | 179.591 | ||||||||
| 3\20 | 1 | 1 | 1.000 | 180.000 | ||||||||