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{{Infobox ET}} | {{Infobox ET}} | ||
'''59EDT''' is the [[Edt|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out |413 -347 59> in the 5-limit, which is supported by [[335edo|335]], [[1489edo|1489]], [[1824edo|1824]], [[2159edo|2159]], [[2494edo|2494]], [[2829edo|2829]], and [[3164edo|3164]] EDOs. | '''59EDT''' is the [[Edt|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out |413 -347 59> in the 5-limit, which is supported by [[335edo|335]], [[1489edo|1489]], [[1824edo|1824]], [[2159edo|2159]], [[2494edo|2494]], [[2829edo|2829]], and [[3164edo|3164]] EDOs. | ||
== Intervals == | |||
{{Interval table}} | |||
== Prime harmonics == | == Prime harmonics == | ||
{{Harmonics in equal|59|3|1|intervals=prime}} | {{Harmonics in equal | ||
| steps = 59 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = prime | |||
}} | |||
{{Harmonics in equal | |||
| steps = 59 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = prime | |||
}} | |||
=Related regular temperaments= | ==Related regular temperaments== | ||
==149&186 temperament== | ===149&186 temperament=== | ||
===5-limit=== | ====5-limit==== | ||
Comma: |118 12 -59> | Comma: |118 12 -59> | ||
| Line 16: | Line 32: | ||
EDOs: {{EDOs|37, 149, 186, 335, 484, 521}} | EDOs: {{EDOs|37, 149, 186, 335, 484, 521}} | ||
===7-limit 149&186=== | ====7-limit 149&186==== | ||
Commas: 3136/3125, 49433168575/48922361856 | Commas: 3136/3125, 49433168575/48922361856 | ||
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EDOs: {{EDOs|37, 149, 186, 335}} | EDOs: {{EDOs|37, 149, 186, 335}} | ||
===7-limit 149d&186=== | ====7-limit 149d&186==== | ||
Commas: 1280000000/1275989841, 8589934592/8544921875 | Commas: 1280000000/1275989841, 8589934592/8544921875 | ||
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EDOs: {{EDOs|149d, 186, 335d, 521, 707}} | EDOs: {{EDOs|149d, 186, 335d, 521, 707}} | ||
===7-limit 149&186d=== | ====7-limit 149&186d==== | ||
Commas: 29360128/29296875, 1937102445/1927561216 | Commas: 29360128/29296875, 1937102445/1927561216 | ||
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EDOs: {{EDOs|149, 186d, 335d, 484, 633}} | EDOs: {{EDOs|149, 186d, 335d, 484, 633}} | ||
==335&2159 temperament== | ===335&2159 temperament=== | ||
===5-limit=== | ====5-limit==== | ||
Comma: |413 -347 59> | Comma: |413 -347 59> | ||