72ed5: Difference between revisions

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'''[[Ed5|Division of the 5th harmonic]] into 72 equal parts''' (72ed5) is related to [[31edo|31 edo]], but with the 5/1 rather than the 2/1 being just. The octave is slightly compressed (about 0.3372 cents) and the step size is about 38.6988 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4.

== ~~Harmonics~~ ==

== Theory ==

~~{{harmonics in equal|72|~~5|1~~|columns~~=~~8|prec~~=~~2}}~~

72ed5 is related to [[31edo]], but with the 5/1 rather than the [[2/1]] being just. The octave is slightly compressed (about 0.3372 cents). This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4.

{{~~harmonics~~ in equal|72|5|1|~~columns~~=8|~~start=9|prec~~=2}}

~~31edo for comparison:~~

=== Harmonics ===

{{~~harmonics~~ in equal|31|~~columns=8~~|~~prec=2~~|intervals=integer~~|collapsed=1}}~~

~~{{harmonics in equal|31~~|columns=8|start=9|~~prec~~=2|~~intervals=integer|collapsed=1~~}}

{{Harmonics in equal|72|5|1|intervals=integer|columns=12|start=12|collapsed=true|Approximation of harmonics in 72ed5 (continued)}}

== Intervals ==

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|}

[[~~Category:Ed5~~]]

== See also ==

[[~~Category:Edonoi~~]]

* [[18edf]] – relative edf

~~{{todo|expand}}~~

* [[31edo]] – relative edo

* [[49edt]] – relative edt

* [[80ed6]] – relative ed6

* [[87ed7]] – relative ed7

* [[111ed12]] – relative ed12

* [[39cET]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''[[Ed5|Division of the 5th harmonic]] into 72 equal parts''' (72ed5) is related to [[31edo|31 edo]], but with the 5/1 rather than the 2/1 being just. The octave is slightly compressed (about 0.3372 cents) and the step size is about 38.6988 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4.
+{{ED intro}}
-== Harmonics ==
+== Theory ==
-{{harmonics in equal|72|5|1|columns=8|prec=2}}
+ed5 is related to [[31edo]], but with the 5/1 rather than the [[2/1]] being just. The octave is slightly compressed (about 0.3372 cents). This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4.
-{{harmonics in equal|72|5|1|columns=8|start=9|prec=2}}
-edo for comparison:
+=== Harmonics ===
-{{harmonics in equal|31|columns=8|prec=2|intervals=integer|collapsed=1}}
+{{Harmonics in equal|72|5|1|intervals=integer|columns=11}}
-{{harmonics in equal|31|columns=8|start=9|prec=2|intervals=integer|collapsed=1}}
+{{Harmonics in equal|72|5|1|intervals=integer|columns=12|start=12|collapsed=true|Approximation of harmonics in 72ed5 (continued)}}
 == Intervals ==
@@ Line 383: / Line 383: @@
 |}
-[[Category:Ed5]]
+== See also ==
-[[Category:Edonoi]]
+* [[18edf]] – relative edf
-{{todo|expand}}
+* [[31edo]] – relative edo
+* [[49edt]] – relative edt
+* [[80ed6]] – relative ed6
+* [[87ed7]] – relative ed7
+* [[111ed12]] – relative ed12
+* [[39cET]]