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37edt: Difference between revisions

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'''37EDT''' is the [[Edt|equal division of the third harmonic]] into 37 parts of 21.6131 [[cent|cents]] each, corresponding to 51.4042 [[edo]] (similar to every third step of [[70edo]]). The tunings supplied by [[111edt|111EDT]] (or 70edo) cannot be used for all low-limit just intervals, but they can be used on the 17-limit 8.3.100.70.22.52.68 just intonation subgroup, tempering out 289/288, 325/324, 352/351, 385/384, 561/560, 595/594, 625/624, 676/675, 1089/1088, 1156/1155, 1225/1224, and 1331/1326.
{{Infobox ET}}
'''37EDT''' is the [[Edt|equal division of the third harmonic]] into 37 parts of 51.4042 [[cent|cents]] each, corresponding to 23.4355 [[edo]]. The tunings supplied by [[111edt|111EDT]] (or 70edo) cannot be used for all low-limit just intervals, but they can be used on the 17-limit 8.3.100.70.22.52.68 just intonation subgroup, tempering out 289/288, 325/324, 352/351, 385/384, 561/560, 595/594, 625/624, 676/675, 1089/1088, 1156/1155, 1225/1224, and 1331/1326.


[[Category:Edt]]
==Harmonics==
[[Category:Edonoi]]
{{Harmonics in equal
| steps = 37
| num = 3
| denom = 1
| intervals = prime
}}
{{Harmonics in equal
| steps = 37
| num = 3
| denom = 1
| start = 12
| collapsed = 1
| intervals = prime
}}
 
==Intervals==
{{Interval table}}
 
{{todo|expand}}
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