61edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
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== Theory == | |||
61edo provides the [[optimal patent val]] for the [[freivald]] (24&37) temperament in the 7-, 11- and 13-limit. | 61edo provides the [[optimal patent val]] for the [[freivald]] (24&37) temperament in the 7-, 11- and 13-limit. | ||
61edo is the 18th [[prime edo]], after of [[59edo]] and before of [[67edo]]. | 61edo is the 18th [[prime edo]], after of [[59edo]] and before of [[67edo]]. | ||
== Table of intervals == | |||
== | |||
== Intervals == | == Intervals == | ||
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| 1200.000 | | 1200.000 | ||
|} | |} | ||
== Miscellany == | |||
=== Mnemonic descriptive poem == | |||
These 61 equal divisions of the octave, | |||
though rare are assuredly a ROCK-tave (har har), | |||
while the 3rd and 5th harmonics are about six cents sharp, | |||
(and the flattish 15th poised differently on the harp), | |||
the 7th and 11th err by less, around three, | |||
and thus mayhap, a good orgone tuning found to be; | |||
slightly sharp as well, is the 13th harmonic's place, | |||
but the 9th and 17th lack near so much grace, | |||
interestingly the 19th is good but a couple cents flat, | |||
and the 21st and 23rd are but a cent or two sharp! | |||
{{Harmonics in equal|61|columns=11}} | |||
[[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | ||
[[Category:Prime EDO]] | [[Category:Prime EDO]] | ||