41-comma: Difference between revisions
Name change following pythagorean -> compton |
+terminology section; name of the equivalence continuum |
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== Temperaments == | == Temperaments == | ||
Tempering out this comma leads to the [[countercomp]] temperament, which splits the octave into 41 equal parts and maps the harmonic 3 to 24\41. 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]]. See [[countercomp family]] for a number of rank-2 temperaments where it is tempered out. | Tempering out this comma leads to the [[countercomp]] temperament, which splits the octave into 41 equal parts and maps the harmonic 3 to 24\41. 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]]. See [[countercomp family]] for a number of rank-2 temperaments where it is tempered out. | ||
== Terminology == | |||
''Pythagorean countercomma'' is derived by analogy to ''Pythagorean comma''. ''Countercomp comma'' is derived from the temperament name, which was changed from ''counterpyth'' as in earlier materials, where this comma was also called ''counterpyth comma''. It was renamed after the convention was established that the temperament of the [[Pythagorean comma]] should be [[compton]], and never ''Pythagorean'', for fear of confusion with [[Pythagorean tuning]]. | |||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
* [[Schismic- | * [[Schismic-countercommatic equivalence continuum]] | ||
[[Category:Countercomp]] | [[Category:Countercomp]] | ||