41-comma: Difference between revisions

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== Temperaments ==
== Temperaments ==
Tempering out this comma splits the octave into 41 equal parts and maps the harmonic 3 to 24\41. It leads to a number of regular temperaments in the [[counterpyth family]]. For equal divisions ''N'' up to 1230, the comma is tempered out if and only if 41 divides ''N''. Examples are [[41edo]], [[164edo]], [[205edo]], [[246edo]], [[328edo]] and [[369edo]].
Tempering out this comma splits the octave into 41 equal parts and maps the harmonic 3 to 24\41. It leads to a number of regular temperaments in the [[counterpyth family]]. For equal divisions ''N'' up to 1230, the comma is tempered out if and only if 41 divides ''N''. Examples are [[41edo|41EDO]], [[164edo|164EDO]], [[205edo|205EDO]], [[246edo|246EDO]], [[328edo|328EDO]] and [[369edo|369EDO]].


=== Counterpyth (41&205) ===
=== Counterpyth (41&205) ===