7L 12s: Difference between revisions
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'''7L 12s''' is the MOS pattern of the [[flattone]] enharmonic or mega-chromatic scale. This MOS separates its large steps by intervals of 2s-2s-2s-1s-2s-2s-1s like the familiar [[12edo]] diatonic scale. The perfect fourth which generates it measures 8\19 (505.263 cents) to 3\7 (514.286 cents). | '''7L 12s''' is the MOS pattern of the [[flattone]] enharmonic or mega-chromatic scale. This MOS separates its large steps by intervals of 2s-2s-2s-1s-2s-2s-1s like the familiar [[12edo]] diatonic scale. The perfect fourth which generates it measures 8\19 (505.263 cents) to 3\7 (514.286 cents). | ||
The flattone | The flattone enharmonic scale with generator between 8\19 (505.263 cents) and 11\26 (507.692 cents) is [[Rothenberg propriety|proper]]. | ||
== Modes == | == Modes == | ||
| Line 34: | Line 34: | ||
== Scale tree == | == Scale tree == | ||
Chroma-positive generator: 505.2632 cents (8\19) to 514.2857 cents (3\7) | Generator ranges: | ||
* Chroma-positive generator: 505.2632 cents (8\19) to 514.2857 cents (3\7) | |||
Chroma-negative generator: 685.7143 cents (4\7) to 694.7368 cents (11\19) | * Chroma-negative generator: 685.7143 cents (4\7) to 694.7368 cents (11\19) | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
Revision as of 13:23, 13 February 2022
| ↖ 6L 11s | ↑ 7L 11s | 8L 11s ↗ |
| ← 6L 12s | 7L 12s | 8L 12s → |
| ↙ 6L 13s | ↓ 7L 13s | 8L 13s ↘ |
┌╥┬╥┬┬╥┬┬╥┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║│║││║││║│││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
ssLssLssLsLssLssLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
7L 12s is the MOS pattern of the flattone enharmonic or mega-chromatic scale. This MOS separates its large steps by intervals of 2s-2s-2s-1s-2s-2s-1s like the familiar 12edo diatonic scale. The perfect fourth which generates it measures 8\19 (505.263 cents) to 3\7 (514.286 cents).
The flattone enharmonic scale with generator between 8\19 (505.263 cents) and 11\26 (507.692 cents) is proper.
Modes
- 18|0 LsLssLssLsLssLssLss
- 17|1 LsLssLssLssLsLssLss
- 16|2 LssLsLssLssLsLssLss
- 15|3 LssLsLssLssLssLsLss
- 14|4 LssLssLsLssLssLsLss
- 13|5 LssLssLsLssLssLssLs
- 12|6 LssLssLssLsLssLssLs
- 11|7 sLsLssLssLsLssLssLs
- 10|8 sLsLssLssLssLsLssLs
- 9|9 sLssLsLssLssLsLssLs
- 8|10 sLssLsLssLssLssLsLs
- 7|11 sLssLssLsLssLssLsLs
- 6|12 sLssLssLsLssLssLssL
- 5|13 sLssLssLssLsLssLssL
- 4|14 ssLsLssLssLsLssLssL
- 3|15 ssLsLssLssLssLsLssL
- 2|16 ssLssLsLssLssLsLssL
- 1|17 ssLssLsLssLssLssLsL
- 0|18 ssLssLssLsLssLssLsL
Scale tree
Generator ranges:
- Chroma-positive generator: 505.2632 cents (8\19) to 514.2857 cents (3\7)
- Chroma-negative generator: 685.7143 cents (4\7) to 694.7368 cents (11\19)
| Generator | Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 8\19 | 505.263 | 1 | 1 | 1.000 | ||||||
| 43\102 | 505.882 | 6 | 5 | 1.200 | ||||||
| 35\83 | 506.024 | 5 | 4 | 1.250 | ||||||
| 62\147 | 506.122 | 9 | 7 | 1.286 | ||||||
| 27\64 | 506.250 | 4 | 3 | 1.333 | ||||||
| 73\173 | 506.358 | 11 | 8 | 1.375 | ||||||
| 46\109 | 506.422 | 7 | 5 | 1.400 | ||||||
| 65\154 | 506.494 | 10 | 7 | 1.428 | ||||||
| 19\45 | 506.667 | 3 | 2 | 1.500 | Flattone | |||||
| 68\161 | 506.832 | 11 | 7 | 1.571 | ||||||
| 49\116 | 506.897 | 8 | 5 | 1.600 | ||||||
| 79\187 | 506.952 | 13 | 8 | 1.625 | Golden flattone (506.9365¢) | |||||
| 30\71 | 507.042 | 5 | 3 | 1.667 | ||||||
| 71\168 | 507.143 | 12 | 7 | 1.714 | ||||||
| 41\97 | 507.216 | 7 | 4 | 1.750 | ||||||
| 52\123 | 507.317 | 9 | 5 | 1.800 | ||||||
| 11\26 | 507.692 | 2 | 1 | 2.000 | Basic 7L 12s (Generators smaller than this are proper) | |||||
| 47\111 | 508.108 | 9 | 4 | 2.250 | ||||||
| 36\85 | 508.235 | 7 | 3 | 2.333 | ||||||
| 61\144 | 508.333 | 12 | 5 | 2.400 | ||||||
| 25\59 | 508.475 | 5 | 2 | 2.500 | ||||||
| 64\151 | 508.609 | 13 | 5 | 2.600 | Unnamed golden tuning (508.6329¢) | |||||
| 39\92 | 508.696 | 8 | 3 | 2.667 | ||||||
| 53\125 | 508.800 | 11 | 4 | 2.750 | ||||||
| 14\33 | 509.091 | 3 | 1 | 3.000 | ||||||
| 45\106 | 509.434 | 10 | 3 | 3.333 | ||||||
| 31\73 | 509.589 | 7 | 2 | 3.500 | ||||||
| 48\113 | 509.735 | 11 | 3 | 3.667 | ||||||
| 17\40 | 510.000 | 4 | 1 | 4.000 | ||||||
| 37\87 | 510.345 | 9 | 2 | 4.500 | ||||||
| 20\47 | 510.638 | 5 | 1 | 5.000 | ||||||
| 23\54 | 511.111 | 6 | 1 | 6.000 | ||||||
| 3\7 | 514.286 | 1 | 0 | → inf | ||||||