7L 12s
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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)
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¢)
| ↖ 6L 11s | ↑ 7L 11s | 8L 11s ↗ |
| ← 6L 12s | 7L 12s | 8L 12s → |
| ↙ 6L 13s | ↓ 7L 13s | 8L 13s ↘ |
┌╥┬╥┬┬╥┬┬╥┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║│║││║││║│││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
ssLssLssLsLssLssLsL
7L 12s, also called f-enharmonic, 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 | Cyclic order |
Step pattern |
|---|---|---|
| 18|0 | 1 | LsLssLssLsLssLssLss |
| 17|1 | 9 | LsLssLssLssLsLssLss |
| 16|2 | 17 | LssLsLssLssLsLssLss |
| 15|3 | 6 | LssLsLssLssLssLsLss |
| 14|4 | 14 | LssLssLsLssLssLsLss |
| 13|5 | 3 | LssLssLsLssLssLssLs |
| 12|6 | 11 | LssLssLssLsLssLssLs |
| 11|7 | 19 | sLsLssLssLsLssLssLs |
| 10|8 | 8 | sLsLssLssLssLsLssLs |
| 9|9 | 16 | sLssLsLssLssLsLssLs |
| 8|10 | 5 | sLssLsLssLssLssLsLs |
| 7|11 | 13 | sLssLssLsLssLssLsLs |
| 6|12 | 2 | sLssLssLsLssLssLssL |
| 5|13 | 10 | sLssLssLssLsLssLssL |
| 4|14 | 18 | ssLsLssLssLsLssLssL |
| 3|15 | 7 | ssLsLssLssLssLsLssL |
| 2|16 | 15 | ssLssLsLssLssLsLssL |
| 1|17 | 4 | ssLssLsLssLssLssLsL |
| 0|18 | 12 | ssLssLssLsLssLssLsL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 8\19 | 505.263 | 694.737 | 1:1 | 1.000 | Equalized 7L 12s | |||||
| 43\102 | 505.882 | 694.118 | 6:5 | 1.200 | ||||||
| 35\83 | 506.024 | 693.976 | 5:4 | 1.250 | ||||||
| 62\147 | 506.122 | 693.878 | 9:7 | 1.286 | ||||||
| 27\64 | 506.250 | 693.750 | 4:3 | 1.333 | Supersoft 7L 12s | |||||
| 73\173 | 506.358 | 693.642 | 11:8 | 1.375 | ||||||
| 46\109 | 506.422 | 693.578 | 7:5 | 1.400 | ||||||
| 65\154 | 506.494 | 693.506 | 10:7 | 1.429 | ||||||
| 19\45 | 506.667 | 693.333 | 3:2 | 1.500 | Soft 7L 12s Flattone | |||||
| 68\161 | 506.832 | 693.168 | 11:7 | 1.571 | ||||||
| 49\116 | 506.897 | 693.103 | 8:5 | 1.600 | ||||||
| 79\187 | 506.952 | 693.048 | 13:8 | 1.625 | Golden flattone (506.9365¢) | |||||
| 30\71 | 507.042 | 692.958 | 5:3 | 1.667 | Semisoft 7L 12s | |||||
| 71\168 | 507.143 | 692.857 | 12:7 | 1.714 | ||||||
| 41\97 | 507.216 | 692.784 | 7:4 | 1.750 | ||||||
| 52\123 | 507.317 | 692.683 | 9:5 | 1.800 | ||||||
| 11\26 | 507.692 | 692.308 | 2:1 | 2.000 | Basic 7L 12s Scales with tunings softer than this are proper | |||||
| 47\111 | 508.108 | 691.892 | 9:4 | 2.250 | ||||||
| 36\85 | 508.235 | 691.765 | 7:3 | 2.333 | ||||||
| 61\144 | 508.333 | 691.667 | 12:5 | 2.400 | ||||||
| 25\59 | 508.475 | 691.525 | 5:2 | 2.500 | Semihard 7L 12s Flattertone | |||||
| 64\151 | 508.609 | 691.391 | 13:5 | 2.600 | Unnamed golden tuning (508.6329¢) | |||||
| 39\92 | 508.696 | 691.304 | 8:3 | 2.667 | ||||||
| 53\125 | 508.800 | 691.200 | 11:4 | 2.750 | ||||||
| 14\33 | 509.091 | 690.909 | 3:1 | 3.000 | Hard 7L 12s | |||||
| 45\106 | 509.434 | 690.566 | 10:3 | 3.333 | ||||||
| 31\73 | 509.589 | 690.411 | 7:2 | 3.500 | ||||||
| 48\113 | 509.735 | 690.265 | 11:3 | 3.667 | ||||||
| 17\40 | 510.000 | 690.000 | 4:1 | 4.000 | Superhard 7L 12s | |||||
| 37\87 | 510.345 | 689.655 | 9:2 | 4.500 | ||||||
| 20\47 | 510.638 | 689.362 | 5:1 | 5.000 | ||||||
| 23\54 | 511.111 | 688.889 | 6:1 | 6.000 | Deeptone | |||||
| 3\7 | 514.286 | 685.714 | 1:0 | → ∞ | Collapsed 7L 12s | |||||