54edt: Difference between revisions
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{{Infobox ET}} | |||
'''[[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]]. | ||
== Commas == | |||
This tuning tempers out [[50/49]] and [[64/63]] in the [[7-limit]] and [[78/77]] in the [[13-limit]]. | |||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 9: | Line 14: | ||
! | comments | ! | comments | ||
|- | |- | ||
! colspan="3" | 0 | |||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
| Line 339: | Line 343: | ||
|} | |} | ||
== 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 | |||
}} | |||