7L 5s: Difference between revisions
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{{Infobox MOS | |||
| Name = m-chromatic | |||
| Periods = 1 | |||
| nLargeSteps = 7 | |||
| nSmallSteps = 5 | |||
| Equalized = 5 | |||
| Paucitonic = 3 | |||
| Pattern = LLsLsLLsLsLs | |||
}} | |||
This is the MOS pattern of the [[Meantone_family|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 [[5L_2s|diatonic scale]], for example B-C, are larger than "chromatic" semitones (~25/24), the intervals by which flats and sharps alter pitches. | This is the MOS pattern of the [[Meantone_family|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 [[5L_2s|diatonic scale]], for example B-C, are larger than "chromatic" semitones (~25/24), the intervals by which flats and sharps alter pitches. | ||
Revision as of 19:50, 27 March 2021
| ↖ 6L 4s | ↑ 7L 4s | 8L 4s ↗ |
| ← 6L 5s | 7L 5s | 8L 5s → |
| ↙ 6L 6s | ↓ 7L 6s | 8L 6s ↘ |
┌╥╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║║│║│║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLsLsLLsLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
This 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 is proper.
| Generator | in cents | Comments | |||||
|---|---|---|---|---|---|---|---|
| 3\7 | 514.286 | ||||||
| 20\47 | 510.638 | ||||||
| 17\40 | 510 | ||||||
| 31\73 | 509.589 | ||||||
| 14\33 | 509.091 | ||||||
| 39\92 | 508.696 | ||||||
| 25\59 | 508.475 | ||||||
| 36\85 | 508.235 | ||||||
| 507.934 | L/s = pi | ||||||
| 11\26 | 507.692 | Flattone | |||||
| 41\97 | 507.216 | Flattone | |||||
| 507.151 | L/s = e | ||||||
| 30\71 | 507.042 | Flattone | |||||
| 506.9365 | L/s = phi+1 | ||||||
| 49\116 | 506.897 | Flattone | |||||
| 19\45 | 506.667 | Flattone | |||||
| 46\109 | 506.422 | Flattone | |||||
| 27\64 | 506.25 | Flattone | |||||
| 35\83 | 506.024 | ||||||
| 8\19 | 505.263 | Boundary of propriety: generators smaller than this are proper.
Meanenneadecal; L/s = 2 | |||||
| 37\88 | 504.5455 | ||||||
| 504.507 | Lucy Tuning | ||||||
| 29\69 | 504.348 | ||||||
| 504.275 | L/s = sqrt(3) | ||||||
| 50\119 | 504.202 | ||||||
| 21\50 | 504 | Meantone / Meanpop | |||||
| 55\131 | 503.817 | Golden meantone | |||||
| 503.7855 | L/s = phi | ||||||
| 34\81 | 503.704 | Optimal meantone is around here | |||||
| 47\112 | 503.571 | Meantone / Meanpop | |||||
| 503.5685 | L/s = pi/2 | ||||||
| 13\31 | 503.226 | Optimal rank range (L/s = 3/2) | |||||
| 44\105 | 502.857 | Meantone / Huygens | |||||
| 31\74 | 502.703 | Meantone / Huygens | |||||
| 49\117 | 502.564 | ||||||
| 18\43 | 502.326 | Meantone / Meridetone | |||||
| 41\98 | 502.041 | ||||||
| 23\55 | 501.818 | ||||||
| 28\67 | 501.493 | ||||||
| 5\12 | 500 | ||||||