9ed9/8: Difference between revisions
→Intervals: reduce cent values to one decimal place, per discussion on Discord |
→Theory: expand on its tuning characteristics |
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== Theory == | == Theory == | ||
9ed9/8 corresponds to 52.9645…[[edo]], which is closely related to [[53edo]] but with the whole tone instead of the octave tuned pure. Like [[53edo]], 9ed9/8 is [[consistent]] to the [[integer limit|10-integer-limit]]. | 9ed9/8 corresponds to 52.9645…[[edo]], which is closely related to [[53edo]] but with the whole tone instead of the octave tuned pure. Like [[53edo]], 9ed9/8 is [[consistent]] to the [[integer limit|10-integer-limit]], but it has a sharp tendency, with all the [[harmonic]]s within 1 to 16 but [[11/1|11]] tuned sharp. | ||
=== Harmonics === | === Harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
9ed9/8 is the first odd composite ed9/8, containing [[3ed9/8]] as a subset. | 9ed9/8 is the first odd composite ed9/8, containing [[3ed9/8]] as a subset. | ||
== Intervals == | == Intervals == | ||