57edt: Difference between revisions
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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]] | == 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, although 57edt barely manages to achieve this since it almost completely misses [[5/1]]. | |||
=== Harmonics === | |||
== | |||
== | |||
{{Harmonics in equal | {{Harmonics in equal | ||
| steps = 57 | | steps = 57 | ||
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| intervals = integer | | intervals = integer | ||
}} | }} | ||
== Intervals == | |||
{{Interval table}} | |||
== See also == | |||
* [[21edf]] – relative edf | |||
* [[36edo]] – relative edo | |||
* [[93ed6]] – relative ed6 | |||
* [[101ed7]] – relative ed7 | |||
* [[129ed12]] – relative ed12, close to the zeta-optimized tuning for 36edo | |||
[[Category:36edo]] | [[Category:36edo]] | ||