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| An 11th-octave temperament can be described by temperament merging of edos whose greatest common divisor is 11. Although [[11edo]] itself is not particularly accurate for low-complexity harmonics, some temperaments which are multiples of 11 are. | | An 11th-octave temperament can be described by temperament merging of edos whose greatest common divisor is 11. Although [[11edo]] itself is not particularly accurate for low-complexity harmonics, some temperaments which are multiples of 11 are. |
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| == Hendecatonic ==
| | Temperaments discussed elsewhere are [[keemic temperaments #Undeka|undeka]], [[marvel temperaments #Hendeka|hendeka]], [[porwell temperaments #Hendecatonic|hendecatonic]], and [[Sensibeta temperaments #Elven|elven]]. |
| : ''For extensions, see [[Porwell temperaments #Hendecatonic]] and [[Marvel temperaments #Hendeca]].''
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| This temperament has a period of 1/11 octave, which represents [[16/15]] in the 5-limit.
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| [[Subgroup]]: 2.3.5
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| [[Comma list]]: 8796093022208/8649755859375
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| {{Mapping|legend=1| 11 0 43 | 0 1 -1 }}
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| : Mapping generators: ~16/15, ~3
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| [[Optimal tuning]]s:
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| * [[WE]]: ~16/15 = 109.0904{{c}}, ~3/2 = 702.6861{{c}}
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| : [[error map]]: {{val| -0.445 +0.286 +0.613 }}
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| * [[CWE]]: ~16/15 = 109.0909{{c}}, ~3/2 = 702.9082{{c}}
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| : error map: {{val| 0.000 +0.953 +1.687 }}
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| {{Optimal ET sequence|legend=1| 22, 55, 77, 99, 869bcc, 968bcc, 1067bccc, 1166bccc }}
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| [[Badness]] (Sintel): 10.7
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| == Undeka ==
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| : ''For extensions, see [[Keemic temperaments #Undeka]].''
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| This temperament has a period of 1/11 octave, three of them represent [[6/5]] in the 5-limit.
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| [[Subgroup]]: 2.3.5
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| [[Comma list]]: 48828125/45349632
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| {{Mapping|legend=1| 11 0 8 | 0 1 1 }}
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| : Mapping generators: ~648/625, ~3
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| [[Optimal tuning]]s:
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| * [[WE]]: ~648/625 = 109.1809{{c}}, ~3/2 = 704.4091{{c}}
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| : [[error map]]: {{val| +0.990 +3.444 -7.468 }}
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| * [[CWE]]: ~648/625 = 109.0909{{c}}, ~3/2 = 704.6983{{c}}
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| : error map: {{val| 0.000 +2.743 -8.888 }}
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| {{Optimal ET sequence|legend=1| 22, 77c, 99c }}
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| [[Badness]] (Sintel): 17.1
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| == Elven ==
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| : ''For extensions, see [[Sensibeta temperaments #Elven]].''
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| This temperament has a period of 1/11 octave, which represents [[3125/2916]] in the 5-limit.
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| [[Subgroup]]: 2.3.5
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| [[Comma list]]: {{monzo| -23 -66 55 }}
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| {{Mapping|legend=1| 11 2 7 | 0 5 6 }}
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| : mapping generators: ~3125/2916, ~{{monzo| 10 29 -24 }}
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| [[Optimal tuning]]s:
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| * [[WE]]: ~3125/2916 = 109.0998{{c}}, ~{{monzo| 10 29 -24 }} = 336.8921{{c}}
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| : [[error map]]: {{val| +0.097 +0.705 -1.263 }}
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| * [[CWE]]: ~3125/2916 = 109.0909{{c}}, ~{{monzo| 10 29 -24 }} = 336.8814{{c}}
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| : error map: {{val| 0.000 +0.634 -1.389 }}
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| {{Optimal ET sequence|legend=1| 121, 253, 374, 627c }}
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| [[Badness]] (Sintel): 429
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| {{Navbox fractional-octave}} | | {{Navbox fractional-octave}} |
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
An 11th-octave temperament can be described by temperament merging of edos whose greatest common divisor is 11. Although 11edo itself is not particularly accurate for low-complexity harmonics, some temperaments which are multiples of 11 are.
Temperaments discussed elsewhere are undeka, hendeka, hendecatonic, and elven.