11ed6: Difference between revisions
m Infobox ET added |
m Mathematical interest |
||
(5 intermediate revisions by 3 users not shown) | |||
Line 1: | Line 1: | ||
{{Mathematical interest}} | |||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | |||
==Related temperament== | == Theory == | ||
===2.3.11 subgroup 17& | 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> | ||
Line 10: | Line 24: | ||
Mapping: [<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& | === 2.3.11.13 subgroup 17 & 183 === | ||
Commas: 28561/28512, 85293/85184 | Commas: 28561/28512, 85293/85184 | ||
Line 19: | Line 33: | ||
Mapping: [<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}} | ||
{{Todo| cleanup }} | |||