11L 2s: Difference between revisions

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{{MOS intro|Other Names=hendecoid; Wyschnegradsky's diatonicized chromatic scale}}{{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
| Equalized = 7
| Collapsed = 6
| Pattern = LLLLLLsLLLLLs
}}
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.


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. If just 11/8 is used as generator, the step ratio is around 1.509.
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.


== Modes ==
== Modes ==
{{MOS modes}}


{{MOS modes}}
== Intervals ==
{{MOS intervals}}


== Scale tree ==
== Scale tree ==
{| class="wikitable center-all"
{{MOS tuning spectrum
! colspan="6" |Generator
| 7/5 = ↕ [[Emka]]
!L
| 8/5 = ↕ [[Freivald]]
!s
| 4/1 = [[Heinz]]
!L/s
}}
!Comments
 
|-
|7\13
|
|
|
|
|
|1
|1
|1.000
|
|-
| || || || || ||41\76||6||5||1.200
|
|-
| || || || ||34\63|| ||5||4||1.250
|
|-
| || || || || ||61\113||9||7||1.286
|
|-
| || || ||27\50|| || ||4||3||1.333
|
|-
| || || || || ||74\137||11||8||1.375
|
|-
| || || || ||47\87|| ||7||5||1.400
|
|-
| || || || || ||67\124||10||7||1.428
|
|-
| || ||20\37|| || || ||3||2||1.500
|
|-
| || || || || ||73\135||11||7||1.571
|
|-
| || || || ||53\98|| ||8||5||1.600
|
|-
| || || || || ||86\159||13||8||1.625
|
|-
| || || ||33\61|| || ||5||3||1.667
|[[Freivald]] / [[emka]] is around here
|-
| || || || || ||79\146||12||7||1.714
|
|-
| || || || ||46\85|| ||7||4||1.750
|
|-
| || || || || ||71\109||9||5||1.800
|
|-
| ||13\24|| || || || ||2||1||2.000
|Basic hendecoid,
Wyschnegradsky's diatonicized chromatic
|-
| || || || || ||70\107||9||4||2.250
|
|-
| || || || ||45\83|| ||7||3||2.333
|
|-
| || || || || ||77\142||12||5||2.400
|
|-
| || || ||32\59|| || ||5||2||2.500
|
|-
| || || || || ||83\152||13||5||2.600
|
|-
| || || || ||51\94|| ||8||3||2.667
|
|-
| || || || || ||70\129||11||4||2.750
|
|-
| || ||19\35|| || || ||3||1||3.000
|
|-
| || || || || ||63\116||10||3||3.333
|
|-
| || || || ||44\81|| ||7||2||3.500
|
|-
| || || || || ||69\127||11||3||3.667
|
|-
| || || ||25\46|| || ||4||1||4.000
|[[Heinz]] is around here
|-
| || || || || ||56\103||9||2||4.500
|
|-
| || || || ||31\57|| ||5||1||5.000
|
|-
| || || || || ||37\68||6||1||6.000
|
|-
|6\11|| || || || || ||1||0||→ inf
|
|}
[[Category:13-tone scales]]
[[Category:13-tone scales]]