55edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''55EDT''' is the [[Edt|equal division of the third harmonic]] into 55 parts of 34.5810 [[cent|cents]] each, corresponding to 34.7011 [[edo]]. It is related to the regular temperament which tempers out 420175/419904 and 205891132094649/204800000000000 in the 7-limit, which is supported by [[243edo|243]], [[347edo|347]], and [[590edo|590]] EDOs among others. | '''55EDT''' is the [[Edt|equal division of the third harmonic]] into 55 parts of 34.5810 [[cent|cents]] each, corresponding to 34.7011 [[edo]]. It is related to the regular temperament which tempers out 420175/419904 and 205891132094649/204800000000000 in the 7-limit, which is supported by [[243edo|243]], [[347edo|347]], and [[590edo|590]] EDOs among others. | ||
== Intervals == | |||
{{Interval table}} | |||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 55 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = integer | |||
}} | |||
{{Harmonics in equal | |||
| steps = 55 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
}} | |||
==Related regular temperaments== | ==Related regular temperaments== | ||
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Map: [<1 0 -2 2|, <0 55 150 28|] | Map: [<1 0 -2 2|, <0 55 150 28|] | ||
EDOs: 243, 347, 590 | EDOs: {{EDOs|243, 347, 590}} | ||
====11-limit==== | ====11-limit==== | ||
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Map: [<1 0 -2 2 10|, <0 55 150 28 -227|] | Map: [<1 0 -2 2 10|, <0 55 150 28 -227|] | ||
EDOs: 243, 347, 590 | EDOs: {{EDOs|243, 347, 590}} | ||
====13-limit==== | ====13-limit==== | ||
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Map: [<1 0 -2 2 10 2|, <0 55 150 28 -227 59|] | Map: [<1 0 -2 2 10 2|, <0 55 150 28 -227 59|] | ||
EDOs: 243, 347, 590 | EDOs: {{EDOs|243, 347, 590}} | ||