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'''11ED6''' is the [[Ed6|equal division of the sixth harmonic]] into six parts of 281.9959 [[cent|cents]] each, corresponding to 4.2554 [[edo]]. It is related to the temperaments which temper out 28561/28512 and 85293/85184 in the 13-limit, which is supported by 17, 34, 149, 166, 183, 200, 217, and 234 EDOs.
{{Mathematical interest}}
{{Infobox ET}}
{{ED intro}}


==Related temperament==
== Theory ==
===2.3.11 subgroup 17&183===
11ed6 corresponds to 4.2554…[[edo]]. It is related to the temperaments which temper out [[28561/28512]] and [[85293/85184]] in the [[13-limit]], which is [[support]]ed by edos {{EDOs| 17, 149, 166, 183, 200, 217, and 234}}.
 
=== Harmonics ===
{{Harmonics in equal|11|6|1|intervals=integer|columns=11}}
{{Harmonics in equal|11|6|1|intervals=integer|columns=12|start=12|collapsed=true|Approximation of harmonics in 11ed6 (continued)}}
 
=== Subsets and supersets ===
11ed6 is the 5th [[prime equal division|prime ed6]], following [[7ed6]] and before [[13ed6]], so it does not contain any nontrivial subset ed6's.
 
== Intervals ==
{{Interval table}}
 
== Related temperament ==
=== 2.3.11 subgroup 17 & 183 ===
Comma: |-19 36 0 0 -11>
Comma: |-19 36 0 0 -11>


POTE generator: ~|7 -13 0 0 4> = 281.9832
POTE generator: ~|7 -13 0 0 4> = 281.9832


Map: [<1 -1 -5|, <0 11 36|]
Mapping: [<1 -1 -5|, <0 11 36|]


EDOs: 17, 34, 166, 183, 200, 217, 366, 383, 400, 566
EDOs: {{EDOs|17, 34, 166, 183, 200, 217, 366, 383, 400, 566}}


===2.3.11.13 subgroup 17&183===
=== 2.3.11.13 subgroup 17 & 183 ===
Commas: 28561/28512, 85293/85184
Commas: 28561/28512, 85293/85184


POTE generator: ~286/243 = 281.9821
POTE generator: ~286/243 = 281.9821


Map: [<1 -1 -5 -1|, <0 11 36 20|]
Mapping: [<1 -1 -5 -1|, <0 11 36 20|]


EDOs: 17, 34, 149, 166, 183, 200, 217, 234, 366
EDOs: {{EDOs|17, 34, 149, 166, 183, 200, 217, 234, 366}}


[[Category:Ed6]]
{{Todo| cleanup }}
[[Category:Edonoi]]
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