7L 5s: Difference between revisions
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'''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 [[5L 2s|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 [[ | The meantone chromatic scale is [[Rothenberg propriety|proper]]. | ||
== Scale tree == | |||
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[[Category:Scales]] | |||
[[Category:12-tone scales]] | |||
[[Category:MOS scales]] | |||
[[Category:Abstract MOS patterns]] | |||
Revision as of 06:21, 29 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
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 is proper.
Scale tree
| 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 | ||||||