57ed6: Difference between revisions

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 {{ED intro}}
-ed6 is very nearly identical to [[22edo|22 EDO]], but with the [[6/1]] rather than the 2/1 being just, which results in octaves being [[stretched and compressed tuning|compressed]] by about 2.754{{c}}. The local [[The_Riemann_zeta_function_and_tuning#Optimal_octave_stretch|zeta peak]] around 22 is located at 22.025147, which has a step size of 54.483{{c}} and an octave of 1198.63{{c}} (which is compressed by 1.37{{c}}), making 57ed6 very close to optimal for 22edo.
+== Theory ==
+ed6 is closely related to [[22edo]], but with the 6th harmonic rather than the [[2/1|octave]] being just, which results in octaves being [[stretched and compressed tuning|compressed]] by about 2.75{{c}}. The local [[The Riemann zeta function and tuning #Optimal octave stretch|zeta peak]] around 22 is located at 22.025147, which has a step size of 54.483{{c}} and an octave of 1198.63{{c}} (which is compressed by 1.37{{c}}), making 57ed6 close to optimal for 22edo.
+=== Harmonics ===
+{{Harmonics in equal|57|6|1|intervals=integer|columns=11}}
+{{Harmonics in equal|57|6|1|intervals=integer|columns=11|start=12|collapsed=true|title=Approximation of harmonics in 57ed6 (continued)}}
 == Intervals ==
 {{Interval table}}
-== Harmonics ==
-{{Harmonics in equal
-| steps = 57
-| num = 6
-| denom = 1
-}}
-{{Harmonics in equal
-| steps = 57
-| num = 6
-| denom = 1
-| start = 12
-| collapsed = 1
-}}
-[[Category:Edonoi]]
-{{stub}}