11L 2s: Difference between revisions
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this fact is the most prominent about 11L 2s, why it isn't at the top of the page |
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{{Infobox MOS | {{Infobox MOS | ||
| Other names =Wyschnegradsky's<br> diatonicized chromatic | | Other names =hendecoid, Wyschnegradsky's<br> diatonicized chromatic | ||
| Periods = 1 | | Periods = 1 | ||
| nLargeSteps = 11 | | nLargeSteps = 11 | ||
| Line 8: | Line 8: | ||
| Pattern = LLLLLLsLLLLLs | | Pattern = LLLLLLsLLLLLs | ||
}} | }} | ||
The '''11L 2s''' [[MOS scale]] is most notable for being used by [[Ivan Wyschnegradsky]] and having a name "diatonicized chromatic scale". | The '''11L 2s''' [[MOS scale]] is most notable for being used by [[Ivan Wyschnegradsky]] and having a name "diatonicized chromatic scale". The more concise name for the scale, proposed by Eliora, is '''hendecoid'''. | ||
From a regular temperament theory perspective, is notable for correponding to the mega chromatic scale of [[Heinz]] temperament. Its generator of 5\11 to 6\13 hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale. | From a regular temperament theory perspective, is notable for correponding to the mega chromatic scale of [[Heinz]] temperament. Its generator of 5\11 to 6\13 hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale. | ||
Revision as of 01:03, 20 February 2023
| ↖ 10L 1s | ↑ 11L 1s | 12L 1s ↗ |
| ← 10L 2s | 11L 2s | 12L 2s → |
| ↙ 10L 3s | ↓ 11L 3s | 12L 3s ↘ |
┌╥╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║║│║║║║║││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLLLLsLLLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
The 11L 2s MOS scale is most notable for being used by Ivan Wyschnegradsky and having a name "diatonicized chromatic scale". The more concise name for the scale, proposed by Eliora, is hendecoid.
From a regular temperament theory perspective, is notable for correponding to the mega chromatic scale of Heinz temperament. Its generator of 5\11 to 6\13 hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale.
Scale tree
| generator | L | s | L/s | gen (cents) | comment | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 5\11 | 1 | 0 | 545.455 | |||||||||
| 41\90 | 8 | 1 | 8.000 | 546.667 | ||||||||
| 36\79 | 7 | 1 | 7.000 | 546.835 | ||||||||
| 31\68 | 6 | 1 | 6.000 | 547.059 | ||||||||
| 26\57 | 5 | 1 | 5.000 | 547.368 | ||||||||
| 21\46 | 4 | 1 | 4.000 | 547.826 | Heinz is around here | |||||||
| 37\81 | 7 | 2 | 3.500 | 548.148 | ||||||||
| 16\35 | 3 | 1 | 3.000 | 548.571 | ||||||||
| 43\94 | 8 | 3 | 2.667 | 548.936 | ||||||||
| 27\59 | 5 | 2 | 2.500 | 549.153 | ||||||||
| 38\83 | 7 | 3 | 2.333 | 549.398 | ||||||||
| 11\24 | 2 | 1 | 2.000 | 550.000 | ||||||||
| 39\85 | 7 | 4 | 1.750 | 550.588 | ||||||||
| 28\61 | 5 | 3 | 1.667 | 550.820 | ||||||||
| (5φ+1)/(11φ+2) | φ | 1 | 1.618 | 550.965 | ||||||||
| 45\98 | 8 | 5 | 1.600 | 551.020 | ||||||||
| 17\37 | 3 | 2 | 1.500 | 551.351 | ||||||||
| 40\87 | 7 | 5 | 1.400 | 551.724 | ||||||||
| 23\50 | 4 | 3 | 1.333 | 552.000 | ||||||||
| 29\63 | 5 | 4 | 1.250 | 552.381 | ||||||||
| 35\76 | 6 | 5 | 1.200 | 552.632 | ||||||||
| 41\89 | 7 | 6 | 1.167 | 552.809 | ||||||||
| 47\102 | 8 | 7 | 1.125 | 552.941 | ||||||||
| 6\13 | 1 | 1 | 1.000 | 553.846 | ||||||||