↖ 6L 11s ↑ 7L 11s 8L 11s ↗
← 6L 12s 7L 12s 8L 12s →
↙ 6L 13s ↓ 7L 13s 8L 13s ↘
┌╥┬╥┬┬╥┬┬╥┬╥┬┬╥┬┬╥┬┬┐
│║│║││║││║│║││║││║│││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
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
Related to 5L 2s (diatonic)
With tunings 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 ¢)

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.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.
  MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 7L 12s
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