44edf: Difference between revisions
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{{Infobox ET}} | {{todo|add examples|text=add examples of how music can be made with this tuning, stuff like instruments tuned to it, 4 to 12 note scales within it, etc.}}{{Infobox ET}} | ||
'''44EDF''' is the [[EDF|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[ | '''44EDF''' is the [[EDF|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cents]] each, corresponding to 75.2185 [[edo]]. | ||
It is related to the [[regular temperament]] which [[tempers out]] |183 -51 -44> in the [[5-limit]], which is supported by {{EDOs|301, 376, 677, 1053, 1429, 1730, 2407, and 2783}} EDOs. | |||
==Related regular temperaments== | |||
===5-limit 677&1053=== | |||
Comma: |183 -51 -44> | |||
POTE generator: ~|-104 29 25> = 15.9540 | |||
Mapping: [<1 1 3|, <0 44 -51|] | |||
EDOs: {{EDOs|75, 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3836}} | |||
===2.3.5.11 677&1053=== | |||
Commas: 184549376/184528125, 38084983750656/38060880859375 | |||
POTE generator: ~|-104 29 25> = 15.9535 | |||
Mapping: [<1 1 3 1|, <0 44 -51 185|] | |||
EDOs: {{EDOs|301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3084}} | |||
===13-limit 677&1053=== | |||
Commas: 6656/6655, 184549376/184528125, 1162261467/1161875000 | |||
POTE generator: ~|-104 29 25> = 15.9540 | |||
Mapping: [<1 1 3 1 -3|, <0 44 -51 185 504|] | |||
EDOs: {{EDOs|677, 1053, 1730, 2407, 3084, 4137}} | |||
==Harmonics== | |||
{{Harmonics in equal|44|3|2|intervals=prime}} | |||
==Intervals== | ==Intervals== | ||
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[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||