51edf: Difference between revisions

Plumtree (talk | contribs)
m Infobox ET added
Fredg999 category edits (talk | contribs)
m Removing from Category:Edonoi using Cat-a-lot
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
'''[[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 compressed and the step size is about 13.7638 cents (corresponding to 87.1851 edo). Unlike 87edo, it is only consistent up to the [[5-odd-limit|6-integer-limit]], with discrepancy for the 7th harmonic.
'''[[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 ==
Line 318: Line 324:
|1403.91
|1403.91
|}
|}
[[Category:Edf]]
 
[[Category:Edonoi]]
{{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}}