Tour of regular temperaments: Difference between revisions

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===[[Laconic family|Laconic or Latrigubi family]] (P8, P5/3)===

This low-accuracy family of temperaments tempers out the laconic comma, {{Monzo|-4 7 -3}} (2187/2000), which is the difference between three 10/9's and one 3/2. The generator is ~10/9 = ~230¢. 5/4 is equated to 7 generators minus 1 octave. Laconic is supported by [[16edo]], [[21edo]], and [[37edo]] (using the 37b mapping), among others. An obvious 7-limit interpretation of the generator is ~8/7, which leads to Gamelismic aka Latrizo.

===[[Tricot family|Tricot or Quadsatriyo family]] (P8, P12/3)===

The tricot family tempers out the [[Tricot|tricot comma]], {{Monzo|39 -29 3}}. The generator is ~13/9 = ~634¢, or ~18/13 = ~566¢. Three generators of ~13/9 equals a compound 5th of ~3/1.

===[[Dimipent family|Dimipent or Quadgu family]] (P8/4, P5)===

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===[[Gammic family|Gammic or Laquinquadyo family]] (P8, P5/20)===

The gammic family tempers out the gammic comma, {{Monzo|-29 -11 20}};. Nine generators of about 35¢ equals ~6/5, eleven equal ~5/4 and twenty equal ~3/2. 34-edo is an obvious tuning. The head of the family is 5-limit gammic, whose generator chain is [[Carlos Gamma]]. Another member is Neptune temperament.

~~===[[Tricot family|Tricot or Quadsatriyo family]] (P8, P12/3)===~~

~~The tricot family tempers out the [[Tricot|tricot comma]], {{Monzo|39 -29 3}}. The generator is ~13/9 = ~634¢, or ~18/13 = ~566¢. Three generators of ~13/9 equals a compound 5th of ~3/1.~~

==Clans defined by a 2.3.7 (za) comma==

@@ Line 83: / Line 83: @@
 ===[[Laconic family|Laconic or Latrigubi family]] (P8, P5/3)===
 This low-accuracy family of temperaments tempers out the laconic comma, {{Monzo|-4 7 -3}} (2187/2000), which is the difference between three 10/9's and one 3/2. The generator is ~10/9 = ~230¢. 5/4 is equated to 7 generators minus 1 octave. Laconic is supported by [[16edo]], [[21edo]], and [[37edo]] (using the 37b mapping), among others. An obvious 7-limit interpretation of the generator is ~8/7, which leads to Gamelismic aka Latrizo.
+===[[Tricot family|Tricot or Quadsatriyo family]] (P8, P12/3)===
+The tricot family tempers out the [[Tricot|tricot comma]], {{Monzo|39 -29 3}}. The generator is ~13/9 = ~634¢, or ~18/13 = ~566¢. Three generators of ~13/9 equals a compound 5th of ~3/1.
 ===[[Dimipent family|Dimipent or Quadgu family]] (P8/4, P5)===
@@ Line 167: / Line 170: @@
 ===[[Gammic family|Gammic or Laquinquadyo family]] (P8, P5/20)===
 The gammic family tempers out the gammic comma, {{Monzo|-29 -11 20}};. Nine generators of about 35¢ equals ~6/5, eleven equal ~5/4 and twenty equal ~3/2. 34-edo is an obvious tuning. The head of the family is 5-limit gammic, whose generator chain is [[Carlos Gamma]]. Another member is Neptune temperament.
-===[[Tricot family|Tricot or Quadsatriyo family]] (P8, P12/3)===
-The tricot family tempers out the [[Tricot|tricot comma]], {{Monzo|39 -29 3}}. The generator is ~13/9 = ~634¢, or ~18/13 = ~566¢. Three generators of ~13/9 equals a compound 5th of ~3/1.
 ==Clans defined by a 2.3.7 (za) comma==