7L 12s
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Scale structure
Step pattern
LsLssLssLsLssLssLss
ssLssLssLsLssLssLsL
Equave
2/1 (1200.0¢)
Period
1\19 (63.2¢)
Generator size
Bright
8\19 to 3\7 (505.3¢ to 514.3¢)
Dark
4\7 to 11\19 (685.7¢ to 694.7¢)
TAMNAMS information
Descends from
5L 2s (diatonic)
Ancestor's step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
7L 5s
Sister
12L 7s
Daughters
19L 7s, 7L 19s
Neutralized
14L 5s
2-Flought
26L 12s, 7L 31s
Equal tunings
Equalized (L:s = 1:1)
8\19 (505.3¢)
Supersoft (L:s = 4:3)
27\64 (506.2¢)
Soft (L:s = 3:2)
19\45 (506.7¢)
Semisoft (L:s = 5:3)
30\71 (507.0¢)
Basic (L:s = 2:1)
11\26 (507.7¢)
Semihard (L:s = 5:2)
25\59 (508.5¢)
Hard (L:s = 3:1)
14\33 (509.1¢)
Superhard (L:s = 4:1)
17\40 (510.0¢)
Collapsed (L:s = 1:0)
3\7 (514.3¢)
Todo: review Adopt scale tree template, review entries |
↖ 6L 11s | ↑7L 11s | 8L 11s ↗ |
← 6L 12s | 7L 12s | 8L 12s → |
↙ 6L 13s | ↓7L 13s | 8L 13s ↘ |
┌╥┬╥┬┬╥┬┬╥┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║│║││║││║│││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLsLssLssLsL
7L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 12 small steps, repeating every octave. 7L 12s is a grandchild scale of 5L 2s, expanding it by 12 tones. Generators that produce this scale range from 505.3¢ to 514.3¢, or from 685.7¢ to 694.7¢. Temperaments associated with this scale include flattone, as the flattone enharmonic scale.
Modes
UDP | Rotational order | Step pattern |
---|---|---|
17|0 | 1 | LsLssLssLsLssLssLss |
16|1 | 9 | LsLssLssLssLsLssLss |
15|2 | 17 | LssLsLssLssLsLssLss |
14|3 | 6 | LssLsLssLssLssLsLss |
13|4 | 14 | LssLssLsLssLssLsLss |
12|5 | 3 | LssLssLsLssLssLssLs |
11|6 | 11 | LssLssLssLsLssLssLs |
10|7 | 19 | sLsLssLssLsLssLssLs |
9|8 | 8 | sLsLssLssLssLsLssLs |
8|9 | 16 | sLssLsLssLssLsLssLs |
7|10 | 5 | sLssLsLssLssLssLsLs |
6|11 | 13 | sLssLssLsLssLssLsLs |
5|12 | 2 | sLssLssLsLssLssLssL |
4|13 | 10 | sLssLssLssLsLssLssL |
3|14 | 18 | ssLsLssLssLsLssLssL |
2|15 | 7 | ssLsLssLssLssLsLssL |
1|16 | 15 | ssLssLsLssLssLsLssL |
0|17 | 4 | ssLssLsLssLssLssLsL |
-1|18 | 12 | ssLssLssLsLssLssLsL |
Scale tree
Generator ranges:
- Chroma-positive generator: 505.2632 cents (8\19) to 514.2857 cents (3\7)
- Chroma-negative generator: 685.7143 cents (4\7) to 694.7368 cents (11\19)
Generator | Cents | L | s | L/s | Comments | |||||
---|---|---|---|---|---|---|---|---|---|---|
8\19 | 505.263 | 1 | 1 | 1.000 | ||||||
43\102 | 505.882 | 6 | 5 | 1.200 | ||||||
35\83 | 506.024 | 5 | 4 | 1.250 | ||||||
62\147 | 506.122 | 9 | 7 | 1.286 | ||||||
27\64 | 506.250 | 4 | 3 | 1.333 | ||||||
73\173 | 506.358 | 11 | 8 | 1.375 | ||||||
46\109 | 506.422 | 7 | 5 | 1.400 | ||||||
65\154 | 506.494 | 10 | 7 | 1.428 | ||||||
19\45 | 506.667 | 3 | 2 | 1.500 | Flattone | |||||
68\161 | 506.832 | 11 | 7 | 1.571 | ||||||
49\116 | 506.897 | 8 | 5 | 1.600 | ||||||
79\187 | 506.952 | 13 | 8 | 1.625 | Golden flattone (506.9365¢) | |||||
30\71 | 507.042 | 5 | 3 | 1.667 | ||||||
71\168 | 507.143 | 12 | 7 | 1.714 | ||||||
41\97 | 507.216 | 7 | 4 | 1.750 | ||||||
52\123 | 507.317 | 9 | 5 | 1.800 | ||||||
11\26 | 507.692 | 2 | 1 | 2.000 | Basic 7L 12s (Generators smaller than this are proper) | |||||
47\111 | 508.108 | 9 | 4 | 2.250 | ||||||
36\85 | 508.235 | 7 | 3 | 2.333 | ||||||
61\144 | 508.333 | 12 | 5 | 2.400 | ||||||
25\59 | 508.475 | 5 | 2 | 2.500 | ||||||
64\151 | 508.609 | 13 | 5 | 2.600 | Unnamed golden tuning (508.6329¢) | |||||
39\92 | 508.696 | 8 | 3 | 2.667 | ||||||
53\125 | 508.800 | 11 | 4 | 2.750 | ||||||
14\33 | 509.091 | 3 | 1 | 3.000 | ||||||
45\106 | 509.434 | 10 | 3 | 3.333 | ||||||
31\73 | 509.589 | 7 | 2 | 3.500 | ||||||
48\113 | 509.735 | 11 | 3 | 3.667 | ||||||
17\40 | 510.000 | 4 | 1 | 4.000 | ||||||
37\87 | 510.345 | 9 | 2 | 4.500 | ||||||
20\47 | 510.638 | 5 | 1 | 5.000 | ||||||
23\54 | 511.111 | 6 | 1 | 6.000 | ||||||
3\7 | 514.286 | 1 | 0 | → inf |