7L 12s

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↖6L 11s↑7L 11s 8L 11s↗
←6L 12s7L 12s8L 12s→
↙6L 13s↓7L 13s 8L 13s↘
Brightest mode LsLssLssLsLssLssLss
Period 2/1
Range for bright generator 8\19 (505.3¢) to 3\7 (514.3¢)
Range for dark generator 4\7 (685.7¢) to 11\19 (694.7¢)
Parent MOS 7L 5s
Sister MOS 12L 7s
Daughter MOSes 19L 7s, 7L 19s
Equal tunings
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¢)
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¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard

7L 12s is an 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 adding 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