61edo: Difference between revisions

Move this poem up again or there's little information about the edo.
Theory: +some basic information
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== Theory ==
== Theory ==
61edo provides the [[optimal patent val]] for the [[freivald]] (24 & 37) temperament in the 7-, 11- and 13-limit.
As an equal temperament, 61et is characterized by [[tempering out]] 20000/19683 ([[tetracot comma]]) and 262144/253125 ([[passion comma]]) in the 5-limit. In the 7-limit, the [[patent val]] {{val| 61 97 142 '''171''' }} [[support]]s [[valentine]] (15 & 46), and is the [[optimal patent val]] for [[freivald]] (24 & 37) in the 7-, 11- and 13-limit. The 61d [[val]] {{val| 61 97 142 '''172''' }} is a great tuning for [[modus]] and [[quasisuper]], and is a simple but out-of-tune edo tuning for [[parakleismic]]. [[Peter Kosmorsky]] has an interesting poem about its tuning profile, as follows.  


=== Introductory poem ===
=== Introductory poem ===
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and the 21st and 23rd are but a cent or two sharp!
and the 21st and 23rd are but a cent or two sharp!
—[[Peter Kosmorsky]]


=== Odd harmonics ===
=== Odd harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
61edo is the 18th [[prime edo]], after [[59edo]] and before [[67edo]].  
61edo is the 18th [[prime edo]], after [[59edo]] and before [[67edo]].


== Intervals ==
== Intervals ==
{{Interval table}}
{{Interval table}}