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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
| Other names =
| Periods = 1
| nLargeSteps = 11
| nSmallSteps = 2
| Equalized = 6
| Paucitonic = 5
| Pattern = LLLLLLsLLLLLs
}}
The '''11L 2s''' [[MOS scale]] 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 ==
{| class="wikitable"
{| class="wikitable"
! colspan="8" | generator
! colspan="8" | generator
! | L
! L
! | s
! s
! | L/s
! L/s
! | gen (cents)
! gen (cents)
! | comment
! comment
|-
|-
| | 5\11
| 5\11
| |
| |
| |
| |
| |
|
|
|
|
| | 1
|
| | 0
|
| |
|
| | 545.455
|
| |
|
| 1
| 0
|
| 545.455
|
|-
|-
| |
| |
| |
| |
| |
| |
|
|
|41\90
|
| | 8
|
| | 1
|
| | 8.000
|
| | 546.667
|
| |
|
| 41\90
| 8
| 1
| 8.000
| 546.667
|
|-
|-
| |
| |
| |
| |
| |
| |
|36\79
|
|
| | 7
|
| | 1
|
| | 7.000
|
| | 546.835
|
| |
|
| 36\79
|
| 7
| 1
| 7.000
| 546.835
|
|-
|-
| |
| |
| |
| |
| |
| |31\68
|
|
|
|
| | 6
|
| | 1
|
| | 6.000
|
| | 547.059
| 31\68
| |
|
|
| 6
| 1
| 6.000
| 547.059
|
|-
|-
| |
| |
| |
| |
| | 26\57
| |
|
|
|
|
| | 5
|
| | 1
|
| | 5.000
| 26\57
| | 547.368
|
| |
|
|
| 5
| 1
| 5.000
| 547.368
|
|-
|-
| |
| |
| |
| | 21\46
| |
| |
|
|
|
|
| | 4
|
| | 1
| 21\46
| | 4.000
|
| | 547.826
|
| |
|
|
| 4
| 1
| 4.000
| 547.826
| Heinz is around here
|-
|-
| |
| |
| |
| |
| | 37\81
| |
|
|
|
|
| | 7
|
| | 2
|
| | 3.500
| 37\81
| | 548.148
|
| |
|
|
| 7
| 2
| 3.500
| 548.148
|
|-
|-
| |
| |
| | 16\35
| |
| |
| |
|
|
|
|
| | 3
| 16\35
| | 1
|
| | 3.000
|
| | 548.571
|
| |
|
|
| 3
| 1
| 3.000
| 548.571
|
|-
|-
| |
| |
| |
| |
| | 43\94
| |
|
|
|
|
| | 8
|
| | 3
|
| | 2.667
| 43\94
| | 548.936
|
| |
|
|
| 8
| 3
| 2.667
| 548.936
|
|-
|-
| |
| |
| |
| | 27\59
| |
| |
|
|
|
|
| | 5
|
| | 2
| 27\59
| | 2.500
|
| | 549.153
|
| |
|
|
| 5
| 2
| 2.500
| 549.153
|
|-
|-
| |
| |
| |
| |
| | 38\83
| |
|
|
|
|
| | 7
|
| | 3
|
| | 2.333
| 38\83
| | 549.398
|
| |
|
|
| 7
| 3
| 2.333
| 549.398
|
|-
|-
| |
|
| | 11\24
| 11\24
| |
|
| |
| |
| |
|
|
|
|
| | 2
|
| | 1
|
| | 2.000
|
| | 550.000
| 2
| |
| 1
| 2.000
| 550.000
|
|-
|-
| |
| |
| |
| |
| | 39\85
| |
|
|
|
|
| | 7
|
| | 4
|
| | 1.750
| 39\85
| | 550.588
|
| |
|
|
| 7
| 4
| 1.750
| 550.588
|
|-
|-
| |
| |
| |
| | 28\61
| |
| |
|
|
|
|
| | 5
|
| | 3
| 28\61
| | 1.667
|
| | 550.820
|
| |
|
|
| 5
| 3
| 1.667
| 550.820
|
|-
|-
| |
| |
| |
| |
| |
| | (5φ+1)/(11φ+2)
|
|
|
|
| | φ
|
| | 1
|
| | 1.618
|
| | 550.965
| (5φ+1)/(11φ+2)
| |
|
|
| φ
| 1
| 1.618
| 550.965
|
|-
|-
| |
| |
| |
| |
| | 45\98
| |
|
|
|
|
| | 8
|
| | 5
|
| | 1.600
| 45\98
| | 551.020
|
| |
|
|
| 8
| 5
| 1.600
| 551.020
|
|-
|-
| |
| |
| | 17\37
| |
| |
| |
|
|
|
|
| | 3
| 17\37
| | 2
|
| | 1.500
|
| | 551.351
|
| |
|
|
| 3
| 2
| 1.500
| 551.351
|
|-
|-
| |
| |
| |
| |
| | 40\87
| |
|
|
|
|
| | 7
|
| | 5
|
| | 1.400
| 40\87
| | 551.724
|
| |
|
|
| 7
| 5
| 1.400
| 551.724
|
|-
|-
| |
| |
| |
| | 23\50
| |
| |
|
|
|
|
| | 4
|
| | 3
| 23\50
| | 1.333
|
| | 552.000
|
| |
|
|
| 4
| 3
| 1.333
| 552.000
|
|-
|-
| |
| |
| |
| |
| | 29\63
| |
|
|
|
|
| | 5
|
| | 4
|
| | 1.250
| 29\63
| | 552.381
|
| |
|
|
| 5
| 4
| 1.250
| 552.381
|
|-
|-
| |
| |
| |
| |
| |
| |35\76
|
|
|
|
| | 6
|
| | 5
|
| | 1.200
|
| | 552.632
| 35\76
| |
|
|
| 6
| 5
| 1.200
| 552.632
|
|-
|-
| |
| |
| |
| |
| |
| |
|41\89
|
|
| | 7
|
| | 6
|
| | 1.167
|
| | 552.809
|
| |
|
| 41\89
|
| 7
| 6
| 1.167
| 552.809
|
|-
|-
|
|
Line 324: Line 334:
|
|
|
|
|47\102
| 47\102
|8
| 8
|7
| 7
|1.125
| 1.125
|552.941
| 552.941
|
|
|-
|-
| | 6\13
| 6\13
| |
|
| |
|
| |
|
| |
|
| |
|
|
|
|
| 1
| 1
| 1.000
| 553.846
|
|
| | 1
| | 1
| | 1.000
| | 553.846
| |
|}
|}
Retrieved from "https://en.xen.wiki/w/11L_2s"