61edo: Difference between revisions
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Undo (yup, it's a good piece of information, also add author) Tag: Undo |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|61}} | {{EDO intro|61}} | ||
== Theory == | == 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]]. | ||
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=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|61|columns=11}} | {{Harmonics in equal|61|columns=11}} | ||
== Table of intervals == | == Table of intervals == | ||
{{Interval table}} | {{Interval table}} | ||
[[ | == 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! | |||
—by [[Peter Kosmorsky]] | |||