70ed6: Difference between revisions
→Theory: very nearly identical -> closely related. Misc. cleanup |
m Text replacement - "[[The Riemann zeta function and tuning #" to "[[Riemann zeta function #" |
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== Theory == | == Theory == | ||
70ed6 is closely related to [[27edo]], but with the 6th harmonic rather than the [[ | 70ed6 is closely related to [[27edo]], but with the 6th harmonic rather than the [[octave]] being just, which [[stretched and compressed tuning|compresses the octave]] by about 3.53{{c}}. The local [[Riemann zeta function #Optimal octave stretch|zeta peak]] around 27 is located at 27.086614, which has a step size of 44.3023{{c}}, making 70ed6 very close to optimal for 27edo. | ||
=== Harmonics === | === Harmonics === | ||
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== Intervals == | == Intervals == | ||
{{Interval table}} | {{Interval table}} | ||
== Scales == | |||
* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]] | |||
== See also == | == See also == | ||
* [[16edf]] – relative edf | |||
* [[27edo]] – relative edo | * [[27edo]] – relative edo | ||
* [[43edt]] – relative edt | * [[43edt]] – relative edt | ||
* [[90ed10]] – relative ed10 | |||
* [[97ed12]] – relative ed12 | * [[97ed12]] – relative ed12 | ||
[[Category:27edo]] | |||
[[Category:Zeta-optimized tunings]] | |||