29edt: Difference between revisions

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'''29EDT''' is the [[Edt|equal division of the third harmonic]] into 29 parts of 65.5847 [[cent|cents]] each, corresponding to 18.2970 [[edo]]. It is related to the regular temperament supported by [[183edo]], [[311edo]], and [[494edo]].
'''29EDT''' is the [[Edt|equal division of the third harmonic]] into 29 parts of 65.5847 [[cent|cents]] each, corresponding to 18.2970 [[edo]]. It is related to the [[Metric microtemperaments #Luminal|luminal temperament]].


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| | [[3/2|just perfect fifth]] plus an octave
| | [[3/2|just perfect fifth]] plus an octave
|}
|}
==Related regular temperament==
===5-limit 183&311===
Comma: |145 -49 -29>
POTE generator: 65.585
Map: [<1 0 5|, <0 29 -49|]
EDOs: 183, 311, 494, 677, 860, 1171, 1665, 1848, 2159, 2836, 3019, 4007
Badness: 0.1949
===7-limit 183&311===
Commas: 703125/702464, 26843545600/26795786661
POTE generator: ~8505/8192 = 65.588
Map: [<1 0 5 8|, <0 29 -49 -95|]
EDOs: 128, 183, 311, 494, 677, 805, 1116, 1299
Badness: 0.1348
===11-limit 183&311===
Commas: 3025/3024, 131072/130977, 703125/702464
POTE generator: ~80/77 = 65.588
Map: [<1 0 5 8 1|, <0 29 -49 -95 45|]
EDOs: 128, 183, 311, 494, 677, 805, 1299
Badness: 0.0328
===13-limit 183&311===
Commas: 2080/2079, 3025/3024, 4096/4095, 31250/31213
POTE generator: ~27/26 = 65.588
Map: [<1 0 5 8 1 -1|, <0 29 -49 -95 45 86|]
EDOs: 128, 183, 311, 494, 677, 805, 1299
Badness: 0.0168
===17-limit 183&311===
Commas: 1156/1155, 1275/1274, 2080/2079, 2431/2430, 4096/4095
POTE generator: ~27/26 = 65.588
Map: [<1 0 5 8 1 -1 6|, <0 29 -49 -95 45 86 -35|]
EDOs: 128, 183, 311, 494, 677, 805
Badness: 0.0147


[[Category:Edt]]
[[Category:Edt]]
[[Category:Edonoi]]
[[Category:Edonoi]]