328ed1536: Difference between revisions
ArrowHead294 (talk | contribs) Closest ED to 13-limit optimality for 31edo |
ArrowHead294 (talk | contribs) m →Theory |
||
| Line 4: | Line 4: | ||
== 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 0.79{{c}}. | 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 0.79{{c}}. While 31edo's 13-limit accuracy is limited, the [[31edo#Regular_temperament_properties|its optimal octave stretch [[13-limit]] is 0.502314{{c}}; 328ed1536 is very close, with a difference of only {{sfrac|1|79}}{{c}}. | ||
=== Harmonics === | === Harmonics === | ||