7L 12s
Jump to navigation
Jump to search
Scale structure
Step pattern
LsLssLssLsLssLssLss
ssLssLssLsLssLssLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
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)
Required step ratio range
1:1 to 3:2 (soft)
Related MOS scales
Parent
7L 5s
Sister
12L 7s
Daughters
19L 7s
7L 19s
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 19s
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
- 18|0 LsLssLssLsLssLssLss
- 17|1 LsLssLssLssLsLssLss
- 16|2 LssLsLssLssLsLssLss
- 15|3 LssLsLssLssLssLsLss
- 14|4 LssLssLsLssLssLsLss
- 13|5 LssLssLsLssLssLssLs
- 12|6 LssLssLssLsLssLssLs
- 11|7 sLsLssLssLsLssLssLs
- 10|8 sLsLssLssLssLsLssLs
- 9|9 sLssLsLssLssLsLssLs
- 8|10 sLssLsLssLssLssLsLs
- 7|11 sLssLssLsLssLssLsLs
- 6|12 sLssLssLsLssLssLssL
- 5|13 sLssLssLssLsLssLssL
- 4|14 ssLsLssLssLsLssLssL
- 3|15 ssLsLssLssLssLsLssL
- 2|16 ssLssLsLssLssLsLssL
- 1|17 ssLssLsLssLssLssLsL
- 0|18 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 | ||||||