76ed80: Difference between revisions

ArrowHead294 (talk | contribs)
Create to note as a compressed 12edo
 
ArrowHead294 (talk | contribs)
m Expand
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}
{{ED intro}}
== Theory ==
76ed80 is closely related to [[12edo]], but with the 80th harmonic rather than the [[2/1|octave]] being just, resulting in octaves being [[stretched and compressed tuning|compressed]] by about 2.16{{c}}. The local [[The Riemann zeta function and tuning #Optimal octave stretch|zeta peak]] around 12 is located at 12.023183, which has a step size of 99.807{{c}} and an octave of 1197.686{{c}} (which is compressed by 2.31{{c}}), making 76ed80 very close to optimal for 12edo.
=== Harmonics ===
{{Harmonics in equal|76|80|1|intervals=integer|columns=11}}
{{Harmonics in equal|76|80|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 76ed80 (continued)}}
== See also ==
* [[12edo]] – relative edo
* [[19edt]] – relative edt
* [[28ed5]] – relative ed5
* [[31ed6]] – relative ed6
* [[40ed10]] – relative ed10