57ed2560: Difference between revisions
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== Theory == | == Theory == | ||
The 2560th harmonic is far too wide to be a useful equivalence, so 57ed2560 is better thought of as a compressed version of [[5edo]]. Indeed, tuning the 2560/1 ratio just instead of 2/1 results in octaves being [[stretched and compressed tuning|compressed]] by about 8.237{{c}}. It is almost exactly equal to the local [[ | The 2560th harmonic is far too wide to be a useful equivalence, so 57ed2560 is better thought of as a compressed version of [[5edo]]. Indeed, tuning the 2560/1 ratio just instead of 2/1 results in octaves being [[stretched and compressed tuning|compressed]] by about 8.237{{c}}. It is almost exactly equal to the local [[Riemann zeta function #Optimal octave stretch|zeta peak]] around 5, with an octave only 0.000612{{c}} off from the ideal size. | ||
=== Harmonics === | === Harmonics === | ||