328ed1536: Difference between revisions
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{{ | {{Mathematical interest}} | ||
{{ | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} | ||
== Theory == | == Theory == | ||
The 1536th harmonic is impossibly wide for a useful equivalence, so 328ed1536 is better thought of as a stretched version of [[31edo]]. Indeed, tuning the 1536/1 ratio just instead of 2/1 results in octaves being [[stretched and compressed tuning|stretched]] by about 0. | The 1536th harmonic is impossibly wide for a useful equivalence, so 328ed1536 is better thought of as a stretched version of [[31edo]]. Indeed, tuning the 1536/1 ratio just instead of 2/1 results in octaves being [[stretched and compressed tuning|stretched]] by about 0.49{{c}}. While 31edo's approximation of the 13th harmonic is of limited accuracy, [[31edo#Regular_temperament_properties|its optimal 13-limit octave stretch]] is 0.502314{{c}}; 328ed1536 is very close, with a difference of only {{sfrac|1|79}}{{c}}. | ||
=== Harmonics === | === Harmonics === | ||