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User:VectorGraphics/Tour of regular temperaments: Difference between revisions

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Created page with "The following is a tour of many of the regular temperaments that contributors to this wiki have found notable. It is of course not meant to be comprehensive, and is not the result of a systematic search. == Rank-2 temperaments == A rank-2 temperament maps all JI intervals within its JI subgroup to a 2-dimensional lattice. This lattice has two generators. The larger generator is called the period, as the temperament will repeat periodically at..."
 
m Text replacement - "Canou family" to "Cathartic family"
 
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; [[Gammic family]] (icosacot)
; [[Gammic family]] (icosacot)
: The gammic family tempers out the [[gammic comma]], {{monzo|-29 -11 20}}. Nine generators of about 35{{c}} equals ~6/5, eleven equals ~5/4 and twenty equals ~3/2. 34edo is an obvious tuning. The head of the family is 5-limit gammic, whose generator chain is [[Carlos Gamma]]. Another member is the [[neptune]] temperament. Its color name is Laquinquadyoti.
: The gammic family tempers out the [[gammic comma]], {{monzo|-29 -11 20}}. Nine generators of about 35{{c}} equals ~6/5, eleven equals ~5/4 and twenty equals ~3/2. 34edo is an obvious tuning. The head of the family is 5-limit gammic, whose generator chain is [[Carlos Gamma]]. Another member is the [[Neptune (temperament)|Neptune]] temperament. Its color name is Laquinquadyoti.


=== Clans defined by a 2.3.7 comma ===
=== Clans defined by a 2.3.7 comma ===
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: The gariboh family of rank-3 temperaments tempers out the gariboh comma, {{monzo|0 -2 5 -3}} (3125/3087). Three ~25/21 generators equal the pergen's downmajor sixth of ~5/3. Its color name is Triru-aquinyoti.
: The gariboh family of rank-3 temperaments tempers out the gariboh comma, {{monzo|0 -2 5 -3}} (3125/3087). Three ~25/21 generators equal the pergen's downmajor sixth of ~5/3. Its color name is Triru-aquinyoti.


; [[Canou family]] (P8, P5, vm6/3)
; [[Cathartic family]] (P8, P5, vm6/3)
: The canou family of rank-3 temperaments tempers out the canousma, {{monzo|4 -14 3 4}} (4802000/4782969). Three ~81/70 generators equal the pergen's downminor sixth of ~14/9. Its color name is Saquadzo-atriyoti.
: The canou family of rank-3 temperaments tempers out the canousma, {{monzo|4 -14 3 4}} (4802000/4782969). Three ~81/70 generators equal the pergen's downminor sixth of ~14/9. Its color name is Saquadzo-atriyoti.


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