51edf: Difference between revisions
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'''[[EDF|Division of the just perfect fifth]] into 51 equal parts''' (51EDF) is related to [[87edo|87 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 2.5474 cents | '''[[EDF|Division of the just perfect fifth]] into 51 equal parts''' (51EDF) is related to [[87edo|87 edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The octave is [[Octave shrinking|compressed]] by about 2.5474 [[cents]] and the step size is about 13.7638 cents (corresponding to 87.1851 edo). | ||
Unlike 87edo, it is only [[consistent]] up to the 6-[[integer-limit]], with discrepancy for the 7th harmonic. | |||
Lookalikes: [[87edo]], [[138edt]] | Lookalikes: [[87edo]], [[138edt]] | ||
== Harmonics == | |||
{{Harmonics in equal|51|3|2|intervals=prime}} | |||
{{Harmonics in equal|51|3|2|intervals=prime|start=12|collapsed=1}} | |||
== Intervals == | == Intervals == | ||
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|1403.91 | |1403.91 | ||
|} | |} | ||
[[ | |||
{{todo|inline=1|complete table|text=Add a third column that comments on the intervals, either what [[JI]] they approximate, what they are named, or how they can be used musically.}} | |||
{{todo|expand}} | |||