57edt: Difference between revisions

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{{ED intro}}
{{ED intro}}


57edt is related to [[36edo]] (sixth-tone tuning), but with the 3/1 rather than the 2/1 being just. This stretches the octave by about 1.2347 [[cent]]s. It is consistent to the [[9-odd-limit|9-integer-limit]]. In comparison, 36edo is only consistent up to the [[7-odd-limit|8-integer-limit]].
== Theory ==
57edt is related to [[36edo]] (sixth-tone tuning), but with the 3/1 rather than the 2/1 being just. This stretches the octave by about 1.2347 [[cent]]s. It is consistent to the [[9-odd-limit|9-integer-limit]], whereas 36edo is only consistent up to the [[7-odd-limit|8-integer-limit]] due to a discrepancy with approximating 9/5.


Lookalikes: [[21edf]], [[36edo]], [[93ed6]], [[101ed7]], [[129ed12]]
=== Harmonics ===
 
== Intervals ==
{{Interval table}}
 
== Harmonics ==
{{Harmonics in equal
{{Harmonics in equal
| steps = 57
| steps = 57
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| intervals = integer
| intervals = integer
}}
}}
== Intervals ==
{{Interval table}}


== See also ==
== See also ==