Tour of regular temperaments: Difference between revisions

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=== [[Cloudy clan|Cloudy or Laquinzo clan]] (P8/5, P5) ===

This clan tempers out the [[cloudy comma]], {{Monzo|-14 0 0 5}} = 16807/16384. ~~Five~~ ~8/7 ~~periods equals an 8ve, and four periods equals ~7/4~~. The generator is ~3/2. Unlike the Blackwood or Sawa family, ~3/2 is not equated with three-fifths of an octave, resulting in very small intervals.

This clan tempers out the [[cloudy comma]], {{Monzo|-14 0 0 5}} = 16807/16384. It has a period of 1/5 octave, which represents ~8/7. The generator is ~3/2. Unlike the Blackwood or Sawa family, ~3/2 is not equated with three-fifths of an octave, resulting in very small intervals.

=== Quinru clan (P8, P5/5) ===

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=== Sepru clan (P8, P12/7) ===

This clan tempers out the Sepru comma, {{Monzo|7 8 0 -7}} = 839808/823543. Its generator is ~7/6. Seven generators equals ~3/1. 7/4 is equated to 8 generators minus 1 octave. This clan includes as a strong extension the [[orwell]] temperament, which is in the Semicomma family.

===[[Tritrizo clan]] (P8/9, P5)===

This clan tempers out the tritrizo comma, {{Monzo|-11 -9 0 9}} = 40353607/40310784. It has a period of 1/9 octave, which represents ~7/6. The generator is ~3/2. This clan includes a number of regular temperaments including [[enneaportent]], [[ennealimmal]], and [[Kleismic family #Novemkleismic|novemkleismic]].

== Clans defined by a 2.3.11 (ila) comma ==

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 === [[Cloudy clan|Cloudy or Laquinzo clan]] (P8/5, P5) ===
-This clan tempers out the [[cloudy comma]], {{Monzo|-14 0 0 5}} = 16807/16384. Five ~8/7 periods equals an 8ve, and four periods equals ~7/4. The generator is ~3/2. Unlike the Blackwood or Sawa family, ~3/2 is not equated with three-fifths of an octave, resulting in very small intervals.
+This clan tempers out the [[cloudy comma]], {{Monzo|-14 0 0 5}} = 16807/16384. It has a period of 1/5 octave, which represents ~8/7. The generator is ~3/2. Unlike the Blackwood or Sawa family, ~3/2 is not equated with three-fifths of an octave, resulting in very small intervals.
 === Quinru clan (P8, P5/5) ===
@@ Line 206: / Line 206: @@
 === Sepru clan (P8, P12/7) ===
 This clan tempers out the Sepru comma, {{Monzo|7 8 0 -7}} = 839808/823543. Its generator is ~7/6. Seven generators equals ~3/1. 7/4 is equated to 8 generators minus 1 octave. This clan includes as a strong extension the [[orwell]] temperament, which is in the Semicomma family.
+===[[Tritrizo clan]] (P8/9, P5)===
+This clan tempers out the tritrizo comma, {{Monzo|-11 -9 0 9}} = 40353607/40310784. It has a period of 1/9 octave, which represents ~7/6. The generator is ~3/2. This clan includes a number of regular temperaments including [[enneaportent]], [[ennealimmal]], and [[Kleismic family #Novemkleismic|novemkleismic]].
 == Clans defined by a 2.3.11 (ila) comma ==