41-comma: Difference between revisions

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| Monzo = 65 -41

| Name = 41-comma, Pythagorean countercomma, countercomp comma

| Color name = ~~Tribisawa 5th~~, ~~Wa-41~~

| Color name = 41wM, fowowama

| Comma = yes

}}

The '''41-comma''', '''Pythagorean countercomma''', or '''countercomp comma''' ([[monzo]]: {{monzo| 65 -41 }}), is a [[3-limit]] interval of 19.845 [[cent]]s. It is the amount by which a stack of 41 perfect fifths ([[3/2]]) falls short of 24 [[octave]]s, in other words 224/(3/2)41.

The '''41-comma''', '''Pythagorean countercomma''', or '''countercomp comma''' ([[monzo]]: {{monzo| 65 -41 }}), is a [[3-limit]] interval of 19.845 [[cent]]s. It is the amount by which a stack of 41 [[3/2|perfect fifths (3/2)]] falls short of 24 [[octave]]s, in other words 224/(3/2)41. It can also be described as the difference between a perfect fifth and a stack of six [[2187/2048|apotomes]], or equivalently as the small gap between the Pythagorean triple-augmented unison and the triple-diminished fifth.

== Temperaments ==

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== 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]].

The names were given by [[Flora Canou]] in 2022. ''Pythagorean countercomma'' was derived by analogy to ''Pythagorean comma'' as part of a series of Pythagorean interval names. ''Countercomp comma'' was derived from the temperament name, ''countercomp'', 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 ==

* [[Small comma]]

* [[~~Schismic-countercommatic~~ equivalence continuum]]

* [[Schismic–countercommatic equivalence continuum]]

[[Category:Countercomp]]

[[Category:Commas named systematically]]

[[Category:Commas named for their regular temperament properties]]

@@ Line 3: / Line 3: @@
 | Monzo = 65 -41
 | Name = 41-comma, Pythagorean countercomma, countercomp comma
-| Color name = Tribisawa 5th, Wa-41
+| Color name = 41wM, fowowama
 | Comma = yes
 }}
-The '''41-comma''', '''Pythagorean countercomma''', or '''countercomp comma''' ([[monzo]]: {{monzo| 65 -41 }}), is a [[3-limit]] interval of 19.845 [[cent]]s. It is the amount by which a stack of 41 perfect fifths ([[3/2]]) falls short of 24 [[octave]]s, in other words 2<sup>24</sup>/(3/2)<sup>41</sup>.
+The '''41-comma''', '''Pythagorean countercomma''', or '''countercomp comma''' ([[monzo]]: {{monzo| 65 -41 }}), is a [[3-limit]] interval of 19.845 [[cent]]s. It is the amount by which a stack of 41 [[3/2|perfect fifths (3/2)]] falls short of 24 [[octave]]s, in other words 2<sup>24</sup>/(3/2)<sup>41</sup>. It can also be described as the difference between a perfect fifth and a stack of six [[2187/2048|apotomes]], or equivalently as the small gap between the Pythagorean triple-augmented unison and the triple-diminished fifth.
 == Temperaments ==
@@ Line 12: / Line 12: @@
 == 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]].
+The names were given by [[Flora Canou]] in 2022. ''Pythagorean countercomma'' was derived by analogy to ''Pythagorean comma'' as part of a series of Pythagorean interval names. ''Countercomp comma'' was derived from the temperament name, ''countercomp'', 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 ==
 * [[Small comma]]
-* [[Schismic-countercommatic equivalence continuum]]
+* [[Schismic–countercommatic equivalence continuum]]
 [[Category:Countercomp]]
+[[Category:Commas named systematically]]
+[[Category:Commas named for their regular temperament properties]]