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{{ | {{Mathematical interest}} | ||
{{ | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
The 448th harmonic is far too wide to be a useful equivalence, so 361ed448 is better thought of as a stretched version of [[41edo]]. Indeed, tuning the 448/1 ratio just instead of 2/1 results in octaves being [[stretched and compressed tuning|stretched]] by about 0.338{{c}}. The local [[The Riemann zeta function and tuning #Optimal octave stretch|zeta peak]] around 41 is located at 40.988078, which has a step size of 29.277{{c}} and an octave of 1200.349{{c}} (which is stretched by 0. | The 448th harmonic is far too wide to be a useful equivalence, so 361ed448 is better thought of as a stretched version of [[41edo]]. Indeed, tuning the 448/1 ratio just instead of 2/1 results in octaves being [[stretched and compressed tuning|stretched]] by about 0.338{{c}}. The local [[The Riemann zeta function and tuning #Optimal octave stretch|zeta peak]] around 41 is located at 40.988078, which has a step size of 29.277{{c}} and an octave of 1200.349{{c}} (which is stretched by 0.349{{c}}), making 361ed448 extremely close to optimal for 41edo. | ||
=== Harmonics === | === Harmonics === | ||