5th-octave temperaments: Difference between revisions
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=== 11-limit === | === 11-limit === | ||
This temperament extends naturally to the 11-limit by tempering [[385/384]] = ([[147/128]])/([[63/55]]) (or equivalently [[6250/6237]]). Note that this temperament observes the comma [[441/440]], as if it didn't, we would have 63/55 also equated with [[8/7]], leading to the [[15edo]] tuning which tempers the [[cloudy comma]]. In the 11-limit, the 5 EDO fourth is interpreted as [[33/25]]. | This temperament extends naturally to the 11-limit by tempering [[385/384]] = ([[147/128]])/([[63/55]]) (or equivalently [[6250/6237]]). Note that this temperament observes the comma [[441/440]] = ([[21/20]])/([[22/21]]) = S21, as if it didn't, we would have 63/55 also equated with [[8/7]], leading to the [[15edo]] tuning which tempers the [[cloudy comma]]. In the 11-limit, the 5 EDO fourth is interpreted as [[33/25]]. | ||
{{Optimal ET sequence|legend=1| 15, 125f, 140, 405eef }} | {{Optimal ET sequence|legend=1| 15, 125f, 140, 405eef }} | ||