11L 2s: Difference between revisions

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This is the mega chromatic scale of Heinz temperament. Its generator of 5\11edo to 6\13edo hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale.
{{Infobox MOS}}
{{MOS intro|Other Names=hendecoid; Wyschnegradsky's diatonicized chromatic scale}}


{| class="wikitable"
This scale is most notable for being used by [[Ivan Wyschnegradsky]], bearing the name '''diatonicized chromatic scale'''. Eliora has proposed the name '''hendecoid''' for its strong relationship to the number 11, as it's an 11+-limit scale and has generators that are close to [[11/8]]. Frostburn has proposed the name '''p-enhar balzano''', as a grandchild scale of 2L 7s.
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| | 5\11
From a regular temperament theory perspective, this scale is notable for corresponding 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. If just 11/8 is used as generator, the step ratio is around 1.509.
| |
 
| | 545.5455
== Modes ==
|-
{{MOS modes}}
| | 26\57
 
| |
== Intervals ==
| | 547.368
{{MOS intervals}}
|-
 
| | 21\46
== Scale tree ==
| |
{{MOS tuning spectrum
| | 547.826
| 7/5 = ↕ [[Emka]]
|-
| 8/5 = ↕ [[Freivald]]
| |
| 4/1 = [[Heinz]]
| |
}}
| | 548.439
 
|-
[[Category:13-tone scales]]
| | 16\35
| |
| | 548.571
|-
| |
| |
| | 548.874
|-
| |
| | 43\94
| | 548.936
|-
| |
| |
| | 548.997
|-
| |
| | 27\59
| | 549.1525
|-
| | 11\24
| |
| | 550
|-
| |
| |
| | 550.636
|-
| |
| | 28\61
| | 550.82
|-
| |
| |
| | 550.965
|-
| |
| | 45\98
| | 551.02
|-
| |
| |
| | 551.113
|-
| | 17\37
| |
| | 551.351
|-
| | 23\50
| |
| | 552
|-
| | 29\63
| |
| | 552.381
|-
| | 6\13
| |
| | 553.846
|}