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11L 2s: Difference between revisions

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| 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 more concise name for the scale, proposed by Eliora, is '''hendecoid'''.
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'''. Another possible name for this mos in TAMNAMS is '''p-enhar balzano''', being one of four enharmonic scales 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 - the strong relationship to the number 11 is the reason for the name "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".
== Modes ==
* 12|0 LLLLLLsLLLLLs
* 11|1 LLLLLsLLLLLLs
* 10|2 LLLLLsLLLLLsL
* 9|3 LLLLsLLLLLLsL
...


== Scale tree ==
== Scale tree ==
{| class="wikitable"
{| class="wikitable center-all"
! colspan="8" | generator
! colspan="6" |Generator
! L
!L
! s
!s
! L/s
!L/s
! gen (cents)
!Comments
! comment
|-
|-
| 5\11
|7\13
|
|
|
|
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|
|
|
|
|1
|1
|1.000
|
|
|-
| || || || || ||41\76||6||5||1.200
|
|
| 1
|-
| 0
| || || || ||34\63|| ||5||4||1.250
|
|
| 545.455
|-
| || || || || ||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
|
|
| 41\90
|-
| 8
| || || || || ||86\159||13||8||1.625
| 1
| 8.000
| 546.667
|
|
|-
|-
|
| || || ||33\61|| || ||5||3||1.667
|
|Freivald / emka is around here
|
|
|
|
| 36\79
|
| 7
| 1
| 7.000
| 546.835
|
|-
|-
|
| || || || || ||79\146||12||7||1.714
|
|
|
|
| 31\68
|
|
| 6
| 1
| 6.000
| 547.059
|
|
|-
|-
|
| || || || ||46\85|| ||7||4||1.750
|
|
|
| 26\57
|
|
|
| 5
| 1
| 5.000
| 547.368
|
|
|-
|-
| || || || || ||71\109||9||5||1.800
|
|
|
|
| 21\46
|
|
|
|
| 4
| 1
| 4.000
| 547.826
| Heinz is around here
|-
|-
|
| ||13\24|| || || || ||2||1||2.000
|
|Basic hendecoid
|
|
| 37\81
|
|
|
| 7
| 2
| 3.500
| 548.148
|
|-
|-
|
| || || || || ||70\107||9||4||2.250
|
| 16\35
|
|
|
|
|
| 3
| 1
| 3.000
| 548.571
|
|
|-
|-
|
| || || || ||45\83|| ||7||3||2.333
|
|
|
| 43\94
|
|
|
| 8
| 3
| 2.667
| 548.936
|
|
|-
|-
|
| || || || || ||77\142||12||5||2.400
|
|
| 27\59
|
|
|
|
| 5
| 2
| 2.500
| 549.153
|
|
|-
|-
|
| || || ||32\59|| || ||5||2||2.500
|
|
|
| 38\83
|
|
|
| 7
| 3
| 2.333
| 549.398
|
|
|-
|-
|
| || || || || ||83\152||13||5||2.600
| 11\24
|
|
|
|
|
|
| 2
| 1
| 2.000
| 550.000
|
|
|-
|-
|
| || || || ||51\94|| ||8||3||2.667
|
|
|
| 39\85
|
|
|
| 7
| 4
| 1.750
| 550.588
|
|
|-
|-
|
| || || || || ||70\129||11||4||2.750
|
|
| 28\61
|
|
|
|
| 5
| 3
| 1.667
| 550.820
|
|
|-
|-
|
| || ||19\35|| || || ||3||1||3.000
|
|
|
| 45\98
|
|
|
| 8
| 5
| 1.600
| 551.020
|
|
|-
|-
|
| || || || || ||63\116||10||3||3.333
|
| 17\37
|
|
|
|
|
| 3
| 2
| 1.500
| 551.351
|
|
|-
|-
|
| || || || ||44\81|| ||7||2||3.500
|
|
|
| 40\87
|
|
|
| 7
| 5
| 1.400
| 551.724
|
|
|-
|-
|
| || || || || ||69\127||11||3||3.667
|
|
| 23\50
|
|
|
|
| 4
| 3
| 1.333
| 552.000
|
|
|-
|-
|
| || || ||25\46|| || ||4||1||4.000
|
|
|
| 29\63
|
|
|
| 5
| 4
| 1.250
| 552.381
|
|
|-
|-
|
| || || || || ||56\103||9||2||4.500
|
|
|
|
| 35\76
|
|
| 6
| 5
| 1.200
| 552.632
|
|
|-
|-
|
| || || || ||31\57|| ||5||1||5.000
|
|
|
|
|
| 41\89
|
| 7
| 6
| 1.167
| 552.809
|
|
|-
|-
|
| || || || || ||37\68||6||1||6.000
|
|
|
|
|
|
| 47\102
| 8
| 7
| 1.125
| 552.941
|
|
|-
|-
| 6\13
|6\11|| || || || || ||1||0||→ inf
|
|
|
|
|
|
|
| 1
| 1
| 1.000
| 553.846
|
|
|}
|}
[[Category:13-tone scales]]
[[Category:13-tone scales]]
Retrieved from "https://en.xen.wiki/w/11L_2s"