59edt: Difference between revisions
m Infobox ET added |
m Removing from Category:Edonoi using Cat-a-lot |
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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 335, 1489, 1824, 2159, 2494, 2829, and 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. | ||
=Related regular temperaments= | == Intervals == | ||
==149&186 temperament== | {{Interval table}} | ||
===5-limit=== | |||
== Prime harmonics == | |||
{{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== | |||
===149&186 temperament=== | |||
====5-limit==== | |||
Comma: |118 12 -59> | Comma: |118 12 -59> | ||
| Line 11: | Line 30: | ||
Map: [<1 0 2|, <0 59 12|] | Map: [<1 0 2|, <0 59 12|] | ||
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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Map: [<1 0 2 2|, <0 59 12 30|] | Map: [<1 0 2 2|, <0 59 12 30|] | ||
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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Map: [<1 0 2 7|, <0 59 12 -156|] | Map: [<1 0 2 7|, <0 59 12 -156|] | ||
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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Map: [<1 0 2 -2|, <0 59 12 179|] | Map: [<1 0 2 -2|, <0 59 12 179|] | ||
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> | ||
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Map: [<1 0 -7|, <0 59 347|] | Map: [<1 0 -7|, <0 59 347|] | ||
EDOs: 335, 1489, 1824, 2159, 2494, 2829, 3164 | EDOs: {{EDOs|335, 1489, 1824, 2159, 2494, 2829, 3164}} | ||