125/121: Difference between revisions
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'''125/121''', the '''jug comma''' is a [[11-limit]] (also 5.11 [[subgroup]]) [[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. | '''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 == | == Temperaments == | ||
Tempering out this comma in the 2.5.11 subgroup results in the | 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 == | == See also == | ||
* [[Medium comma]] | * [[Medium comma]] | ||
[[Category:Jug]] | [[Category:Jug]] | ||
[[Category:Commas named for their regular temperament properties]] | |||
Latest revision as of 06:57, 3 November 2024
| Interval information |
125/121, the jug comma is a 11-limit (also 5.11 subgroup) medium comma of about 56.3 cents. It is the difference between 5/4 and a stack of 2 11/10s or 25/22s.
Etymology
The name for this comma was coined in 2024 by CompactStar, based on the name of juggernaut temperament.
Temperaments
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 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.