22edo: Difference between revisions

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See also: Forgot to remove a link I had moved elsewhere
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m Stretched and compressed tunings: Temporary improvement until the roll out of the standard
 
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=== Stretched and compressed tunings ===
=== Stretched and compressed tunings ===
The [[The Riemann zeta function and tuning|local zeta peak]] around 22, '''80zpi''', is located at 22.025147, which has the octave [[Stretched and compressed tuning|compressed]] by 1.37{{c}}. The octave of 123ed48 comes quite close, differing by only 0.09{{c}}. This improves the tuning of primes 3 and 7, but worsens that of primes 5 and 11, so this compromise may be considered when treating 22edo as a tuning of [[archy]] (2.3.7 superpyth).
The [[The Riemann zeta function and tuning|local zeta peak]] around 22, '''80zpi''', is located at 22.025147, which has the octave [[Stretched and compressed tuning|compressed]] by 1.37{{c}}. The step size of [[APS|1ed54.5c]] differs from 22edo by only 0.05{{c}}. It improves the tuning of primes 3 and 7, but worsens that of primes 5 and 11, so it may be considered when treating 22edo as a tuning of [[archy]] (2.3.7 superpyth).
{{Harmonics in equal|123|48|1|intervals=prime|columns=11|collapsed=true}}
{{Harmonics in cet|54.5|intervals=prime|columns=11|collapsed=true}}


== Defining features ==
== Defining features ==