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