12L 7s
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Brightest mode | LLsLLsLLsLsLLsLLsLs | |
Period | 2/1 | |
Range for bright generator | 11\19 (694.7¢) to 7\12 (700.0¢) | |
Range for dark generator | 5\12 (500.0¢) to 8\19 (505.3¢) | |
Parent MOS | 7L 5s | |
Daughter MOSes | 19L 12s, 12L 19s | |
Sister MOS | 7L 12s | |
Equal tunings | ||
Supersoft (L:s = 4:3) | 40\69 (695.7¢) | |
Soft (L:s = 3:2) | 29\50 (696.0¢) | |
Semisoft (L:s = 5:3) | 47\81 (696.3¢) | |
Basic (L:s = 2:1) | 18\31 (696.8¢) | |
Semihard (L:s = 5:2) | 43\74 (697.3¢) | |
Hard (L:s = 3:1) | 25\43 (697.7¢) | |
Superhard (L:s = 4:1) | 32\55 (698.2¢) |
12L 7s is the MOS pattern of the meantone enharmonic or mega-chromatic scale. This MOS separates its small steps by intervals of 2L-2L-2L-1L-2L-2L-1L like the familiar 12edo diatonic scale. The perfect fifth which generates it measures 11\19 (694.737 cents) to 7\12 (700 cents).
The meantone enharmonic scale with generator between 11\19 (694.737 cents) and 18\31 (696.774 cents) is proper.
Modes
- 18|0 LLsLLsLLsLsLLsLLsLs
- 17|1 LLsLLsLsLLsLLsLLsLs
- 16|2 LLsLLsLsLLsLLsLsLLs
- 15|3 LLsLsLLsLLsLLsLsLLs
- 14|4 LLsLsLLsLLsLsLLsLLs
- 13|5 LsLLsLLsLLsLsLLsLLs
- 12|6 LsLLsLLsLsLLsLLsLLs
- 11|7 LsLLsLLsLsLLsLLsLsL
- 10|8 LsLLsLsLLsLLsLLsLsL
- 9|9 LsLLsLsLLsLLsLsLLsL
- 8|10 LsLsLLsLLsLLsLsLLsL
- 7|11 LsLsLLsLLsLsLLsLLsL
- 6|12 sLLsLLsLLsLsLLsLLsL
- 5|13 sLLsLLsLsLLsLLsLLsL
- 4|14 sLLsLLsLsLLsLLsLsLL
- 3|15 sLLsLsLLsLLsLLsLsLL
- 2|16 sLLsLsLLsLLsLsLLsLL
- 1|17 sLsLLsLLsLLsLsLLsLL
- 0|18 sLsLLsLLsLsLLsLLsLL
Scale tree
Generator ranges:
- Chroma-positive generator: 694.7368 cents (11\19) to 700 cents (7\12)
- Chroma-negative generator: 500 cents (5\12) to 505.2632 cents (8\19)
Generator | Cents | L | s | L/s | Comments | |||||
---|---|---|---|---|---|---|---|---|---|---|
11\19 | 694.737 | 1 | 1 | 1.000 | ||||||
62\107 | 695.327 | 6 | 5 | 1.200 | ||||||
51\88 | 695.455 | 5 | 4 | 1.250 | ||||||
91\157 | 695.541 | 9 | 7 | 1.286 | ||||||
40\69 | 695.652 | 4 | 3 | 1.333 | ||||||
109\188 | 695.745 | 11 | 8 | 1.375 | ||||||
69\119 | 695.798 | 7 | 5 | 1.400 | ||||||
98\169 | 695.858 | 10 | 7 | 1.428 | ||||||
29\50 | 696.000 | 3 | 2 | 1.500 | Meantone / Meanpop | |||||
105\181 | 696.133 | 11 | 7 | 1.571 | ||||||
76\131 | 696.183 | 8 | 5 | 1.600 | ||||||
123\212 | 696.226 | 13 | 8 | 1.625 | Golden meantone (696.2145¢) | |||||
47\81 | 696.296 | 5 | 3 | 1.667 | Meantone / Meanpop | |||||
112\193 | 696.373 | 12 | 7 | 1.714 | ||||||
65\112 | 696.429 | 7 | 4 | 1.750 | ||||||
83\143 | 696.503 | 9 | 5 | 1.800 | ||||||
18\31 | 696.774 | 2 | 1 | 2.000 | Basic 12L 7s (Generators smaller than this are proper) | |||||
79\136 | 697.059 | 9 | 4 | 2.250 | ||||||
61\105 | 697.143 | 7 | 3 | 2.333 | Meantone / Huygens | |||||
104\179 | 697.207 | 12 | 5 | 2.400 | ||||||
43\74 | 697.297 | 5 | 2 | 2.500 | Meantone / Huygens / Grosstone | |||||
111\191 | 697.382 | 13 | 5 | 2.600 | Golden grosstone (697.3969¢) | |||||
68\117 | 697.436 | 8 | 3 | 2.667 | ||||||
93\160 | 697.500 | 11 | 4 | 2.750 | ||||||
25\43 | 697.674 | 3 | 1 | 3.000 | Meantone / Meridetone | |||||
82\141 | 697.872 | 10 | 3 | 3.333 | ||||||
57\98 | 697.959 | 7 | 2 | 3.500 | ||||||
89\153 | 698.039 | 11 | 3 | 3.667 | ||||||
32\55 | 698.182 | 4 | 1 | 4.000 | ||||||
71\122 | 698.361 | 9 | 2 | 4.500 | ||||||
39\67 | 698.507 | 5 | 1 | 5.000 | ||||||
46\79 | 698.734 | 6 | 1 | 6.000 | ||||||
7\12 | 700.000 | 1 | 0 | → inf |