90ed10: Difference between revisions

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== Theory ==
== Theory ==
90ed10 is closely related to [[27edo]], but with the 6th harmonic rather than the [[2/1|octave]] being just, which [[stretched and compressed tuning|compresses the octave]] by about 4.11{{c}}. The local [[The Riemann zeta function and tuning #Optimal octave stretch|zeta peak]] around 27 is located at 27.086614, which has a step size of 44.3023{{c}}, making 90ed10 very close to optimal for 27edo.
90ed10 is closely related to [[27edo]], but with the 10th harmonic rather than the [[2/1|octave]] being just, which [[stretched and compressed tuning|compresses the octave]] by about 4.11{{c}}. The local [[The Riemann zeta function and tuning #Optimal octave stretch|zeta peak]] around 27 is located at 27.086614, which has a step size of 44.3023{{c}}, making 90ed10 very close to optimal for 27edo.


=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|90|5|1|intervals=integer|columns=11}}
{{Harmonics in equal|90|10|1|intervals=integer|columns=11}}
{{Harmonics in equal|90|5|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 90ed10 (continued)}}
{{Harmonics in equal|90|10|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 90ed10 (continued)}}


== Intervals ==
== Intervals ==