7L 5s

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↖6L 4s↑7L 4s 8L 4s↗
←6L 5s7L 5s8L 5s→
↙6L 6s↓7L 6s 8L 6s↘
Brightest mode LLsLsLLsLsLs
Period 2/1
Range for bright generator 5\12 (500¢) to 3\7 (514.3¢)
Range for dark generator 4\7 (685.7¢) to 7\12 (700¢)
Parent MOS 5L 2s
Sister MOS 5L 7s
Daughter MOSes 12L 7s, 7L 12s
Equal tunings
Supersoft (L:s = 4:3) 18\43 (502.3¢)
Soft (L:s = 3:2) 13\31 (503.2¢)
Semisoft (L:s = 5:3) 21\50 (504¢)
Basic (L:s = 2:1) 8\19 (505.3¢)
Semihard (L:s = 5:2) 19\45 (506.7¢)
Hard (L:s = 3:1) 11\26 (507.7¢)
Superhard (L:s = 4:1) 14\33 (509.1¢)

7L 5s is the MOS pattern of the meantone chromatic scale, which is the only notable harmonic entropy minimum in this range of possible scales. In meantone, "diatonic" semitones (~16/15), such as appear in the diatonic scale, for example B-C, are larger than "chromatic" semitones (~25/24), the intervals by which flats and sharps alter pitches.

The meantone chromatic scale with generator between 5\12 (500 cents) and 8\19 (505.263 cents) is proper.

Modes

Eliora proposes mode names based on the layout of the Gregorian calendar. For example, since starting with January months are 31-28*-31-30-31-30-31-31-30-31-30-31, making a LsLsLsLLsLsL pattern, the associated mode is named January.

  • 11|0 LLsLsLLsLsLs - July
  • 10|1 LLsLsLsLLsLs - December
  • 9|2 LsLLsLsLLsLs - May
  • 8|3 LsLLsLsLsLLs - October
  • 7|4 LsLsLLsLsLLs - March
  • 6|5 LsLsLLsLsLsL - August
  • 5|6 LsLsLsLLsLsL - January
  • 4|7 sLLsLsLLsLsL - June
  • 3|8 sLLsLsLsLLsL - November
  • 2|9 sLsLLsLsLLsL - April
  • 1|10 sLsLLsLsLsLL - September
  • 0|11 sLsLsLLsLsLL - February

Scales

  • Meaneb471a – an equal beating tuning of meantone
  • Meantone12 – 31edo tuning
  • Ratwolf – 20/13 wolf fifth tuning of meantone
  • Meaneb471 – the other equal beating tuning of meantone
  • Flattone12 – 13-limit POTE tuning of flattone

Scale tree

Generator ranges:

  • Chroma-positive generator: 500 cents (5\12) to 514.2857 cents (3\7)
  • Chroma-negative generator: 685.7143 cents (4\7) to 700 cents (7\12)
Generator Cents L s L/s Comments
5\12 500.000 1 1 1.000
28\67 501.493 6 5 1.200
23\55 501.818 5 4 1.250
41\98 502.041 9 7 1.286
18\43 502.326 4 3 1.333 Meantone / meridetone
49\117 502.564 11 8 1.375
31\74 502.703 7 5 1.400 Meantone / huygens / grosstone
44\105 502.857 10 7 1.428
13\31 503.226 3 2 1.500
47\112 503.571 11 7 1.571
34\81 503.704 8 5 1.600 Meantone
55\131 503.817 13 8 1.625 Golden meantone (503.7855¢)
21\50 504.000 5 3 1.667 Meantone / meanpop
50\119 504.202 12 7 1.714
29\69 504.348 7 4 1.750
37\88 504.545 9 5 1.800
8\19 505.263 2 1 2.000 Basic m-chromatic
(Generators smaller than this are proper)
35\83 506.024 9 4 2.250
27\64 506.250 7 3 2.333
46\109 506.422 12 5 2.400
19\45 506.667 5 2 2.500 Flattone
49\116 506.897 13 5 2.600 Golden flattone (506.9365¢)
30\71 507.042 8 3 2.667
41\97 507.216 11 4 2.750
11\26 507.692 3 1 3.000
36\85 508.235 10 3 3.333
25\59 508.475 7 2 3.500
39\92 508.696 11 3 3.667
14\33 509.091 4 1 4.000
31\73 509.589 9 2 4.500
17\40 510.000 5 1 5.000
20\47 510.638 6 1 6.000
3\7 514.286 1 0 → inf