7L 5s
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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¢)
| ↖6L 4s | ↑7L 4s | 8L 4s↗ |
| ←6L 5s | 7L 5s | 8L 5s→ |
| ↙6L 6s | ↓7L 6s | 8L 6s↘ |
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 | ||||||