54edt: Difference between revisions
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'''[[Edt|Division of the third harmonic]] into 54 equal parts''' (54EDT) is related to [[34edo|34 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 2.4728 cents compressed and the step size is about 35.2214 cents. It is consistent to the [[7-odd-limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 34edo is only consistent up to the [[5-odd-limit|6-integer-limit]]. | '''[[Edt|Division of the third harmonic]] into 54 equal parts''' (54EDT) is related to [[34edo|34 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 2.4728 cents compressed and the step size is about 35.2214 cents. It is consistent to the [[7-odd-limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 34edo is only consistent up to the [[5-odd-limit|6-integer-limit]]. | ||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 338: | Line 339: | ||
| | [[3/2|just perfect fifth]] plus an octave | | | [[3/2|just perfect fifth]] plus an octave | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 54 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = integer | |||
}} | |||
{{Harmonics in equal | |||
| steps = 54 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
}} | |||
[[Category:Edt]] | [[Category:Edt]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||