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'''44EDF''' is the [[EDF|equal division of the just perfect fifth]] into 44 parts of 15.9535 [[cent|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 301, 376, 677, 1053, 1429, 1730, 2407, and 2783 EDOs.
{{Todo|cleanup|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}}
{{ED intro}}
 
== Theory ==
44edf corresponds to 75.2185[[edo]]. It is related to the [[regular temperament]] which [[tempering out|tempers out]] {{monzo| 183 -51 -44 }} in the [[5-limit]], which is supported by {{EDOs| 301-, 376-, 677-, 1053-, 1429-, 1730-, 2407-, and 2783edo }}.
 
=== Harmonics ===
{{Harmonics in equal|44|3|2|intervals=prime}}
 
== 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}}


==Intervals==
==Intervals==
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==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: 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: 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: 677, 1053, 1730, 2407, 3084, 4137
[[Category:Edf]]
[[Category:Edonoi]]
Retrieved from "https://en.xen.wiki/w/44edf"