125/121: Difference between revisions

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'''125/121''', the '''jug comma''' is a [[11-limit]] (also 5.11 [[subgroup]]) [[medium comma]] of about 56.3 [[cent]]s. It is the difference between [[5/4]] and a stack of 2 [[11/10]]s or [[25/22]]s.

== Etymology ==

The name for this comma was coined in 2024 by [[User:CompactStar|CompactStar]], based on the name of [[juggernaut]] temperament.

== Temperaments ==

Tempering out this comma in the 2.5.11 subgroup results in the ~~[[jug]]~~ temperament, generated by a [[meantone]]-like major second of [[11/10]]~[[25/22]], and in the ~~[[nonoctave]]~~ 5.7.11 subgroup it results in the no-~~twos-or-threes~~ [[juggernaut]] temperament, with a period that is the square root of 5 ([[11/5]]~[[25/11]]) and a generator of ~[[7/5]].

Tempering out this comma in the full 11-limit results in the rank-4 '''jug temperament'''. Tempering out this comma in the 2.5.11 subgroup results in the rank-2 '''jugular temperament''', generated by a [[meantone]]-like major second of [[11/10]]~[[25/22]], and in the no-twos-or-threes 5.7.11 subgroup it results in the [[nonoctave]] rank-2 [[juggernaut]] temperament, with a period that is the [[2ed5|square root of 5]] (representing [[11/5]]~[[25/11]]) and a generator of ~[[7/5]]. 125/121 is also tempered out in [[11-limit]] [[flattone]], which can be viewed as a [[weak extension]] of jugular temperament slicing the generator into 2 fifths.

== See also ==

* [[Medium comma]]

[[Category:Jug]]

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

@@ Line 7: / Line 7: @@
 '''125/121''', the '''jug comma''' is a [[11-limit]] (also 5.11 [[subgroup]]) [[medium comma]] of about 56.3 [[cent]]s. It is the difference between [[5/4]] and a stack of 2 [[11/10]]s or [[25/22]]s.
+== Etymology ==
+The name for this comma was coined in 2024 by [[User:CompactStar|CompactStar]], based on the name of [[juggernaut]] temperament.
 == Temperaments ==
-Tempering out this comma in the 2.5.11 subgroup results in the [[jug]] temperament, generated by a [[meantone]]-like major second of [[11/10]]~[[25/22]], and in the [[nonoctave]] 5.7.11 subgroup it results in the no-twos-or-threes [[juggernaut]] temperament, with a period that is the square root of 5 ([[11/5]]~[[25/11]]) and a generator of ~[[7/5]].
+Tempering out this comma in the full 11-limit results in the rank-4 '''jug temperament'''. Tempering out this comma in the 2.5.11 subgroup results in the rank-2 '''jugular temperament''', generated by a [[meantone]]-like major second of [[11/10]]~[[25/22]], and in the no-twos-or-threes 5.7.11 subgroup it results in the [[nonoctave]] rank-2 [[juggernaut]] temperament, with a period that is the [[2ed5|square root of 5]] (representing [[11/5]]~[[25/11]]) and a generator of ~[[7/5]]. 125/121 is also tempered out in [[11-limit]] [[flattone]], which can be viewed as a [[weak extension]] of jugular temperament slicing the generator into 2 fifths.
 == See also ==
 * [[Medium comma]]
 [[Category:Jug]]
+[[Category:Commas named for their regular temperament properties]]