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11L 2s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS}}
| Other names =hendecoid, Wyschnegradsky's<br> diatonicized chromatic  
{{MOS intro|Other Names=hendecoid; Wyschnegradsky's diatonicized chromatic scale}}
| Periods = 1
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.
| nLargeSteps = 11
 
| nSmallSteps = 2
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.
| Equalized = 7
 
| Collapsed = 6
== Modes ==
| Pattern = LLLLLLsLLLLLs
{{MOS modes}}
}}
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 - the strong relationship to the number 11 is the reason for the name "hendecoid".
== Intervals ==
{{MOS intervals}}


== Scale tree ==
== Scale tree ==
{| class="wikitable"
{{MOS tuning spectrum
! colspan="8" | generator
| 7/5 = ↕ [[Emka]]
! L
| 8/5 = ↕ [[Freivald]]
! s
| 4/1 = [[Heinz]]
! 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
|
|-
|
|
|
|
| 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
|
|}


[[Category:13-tone scales]]
[[Category:13-tone scales]]
Retrieved from "https://en.xen.wiki/w/11L_2s"