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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'''.
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| 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.
| | == Intervals == |
| | {{MOS intervals}} |
|
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| == 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
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| | 1
| |
| | 7.000
| |
| | 546.835
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 31\68
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| |
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| | 6
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| | 1
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| | 6.000
| |
| | 547.059
| |
| |
| |
| |-
| |
| |
| |
| |
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| |
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| |
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| | 26\57
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| |
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| | 5
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| | 1
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| | 5.000
| |
| | 547.368
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| | 21\46
| |
| |
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| |
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| | 4 | |
| | 1
| |
| | 4.000
| |
| | 547.826
| |
| | Heinz is around here
| |
| |-
| |
| |
| |
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| |
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| |
| | 37\81
| |
| |
| |
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| |
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| | 7
| |
| | 2
| |
| | 3.500
| |
| | 548.148
| |
| |
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| |-
| |
| |
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| |
| | 16\35
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| |
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| |
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| | 3
| |
| | 1
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| | 3.000
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| | 548.571
| |
| |
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| |-
| |
| |
| |
| |
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| |
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| | 43\94
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| | 8
| |
| | 3
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| | 2.667
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| | 548.936
| |
| |
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| |-
| |
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| |
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| | 27\59
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| | 5
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| | 2
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| | 2.500
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| | 549.153
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| |
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| |-
| |
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| |
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| | 38\83
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| | 7
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| | 3
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| | 2.333
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| | 549.398
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| |-
| |
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| | 11\24
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| | 2
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| | 1
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| | 2.000
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| | 550.000
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| |-
| |
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| | 39\85
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| | 7
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| | 4
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| | 1.750
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| | 550.588
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| |-
| |
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| | 28\61
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| | 5
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| | 3
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| | 1.667
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| | 550.820
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| |-
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| | (5φ+1)/(11φ+2)
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| | φ
| |
| | 1
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| | 1.618
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| | 550.965
| |
| |
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| |-
| |
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| | 45\98
| |
| |
| |
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| |
| |
| |
| | 8
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| | 5
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| | 1.600
| |
| | 551.020
| |
| |
| |
| |-
| |
| |
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| |
| |
| | 17\37
| |
| |
| |
| |
| |
| |
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| |
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| | 3
| |
| | 2
| |
| | 1.500
| |
| | 551.351
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 40\87
| |
| |
| |
| |
| |
| |
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| | 7
| |
| | 5
| |
| | 1.400
| |
| | 551.724
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| | 23\50
| |
| |
| |
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| |
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| |
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| | 4
| |
| | 3
| |
| | 1.333
| |
| | 552.000
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 29\63
| |
| |
| |
| |
| |
| |
| |
| | 5
| |
| | 4
| |
| | 1.250
| |
| | 552.381
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 35\76
| |
| |
| |
| |
| |
| | 6
| |
| | 5
| |
| | 1.200
| |
| | 552.632
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
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| |
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| | 41\89
| |
| |
| |
| | 7
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| | 6
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| | 1.167
| |
| | 552.809
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
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| |
| |
| |
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| |
| |
| | 47\102
| |
| | 8
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| | 7
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| | 1.125
| |
| | 552.941
| |
| |
| |
| |-
| |
| | 6\13
| |
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| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 1
| |
| | 1
| |
| | 1.000
| |
| | 553.846
| |
| |
| |
| |}
| |
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| [[Category:13-tone scales]] | | [[Category:13-tone scales]] |