Tour of regular temperaments: Difference between revisions

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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.

: 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]].

: This clan tempers out the ''septiennealimma'' (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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; Pontiqak or Lazozotritriyo temperaments

: Pontiqak rank-two temperaments temper out the ''pontiqak'' comma, {{Monzo|-17 -6 9 2}} = 95703125/95551488.

; [[Mitonismic temperaments|Mitonismic or Laquadzo-agu temperaments]]

: Mitonismic rank-two temperaments temper out the ''mitonisma'', {{Monzo|-20 7 -1 4}} = 5250987/5242880.

; [[Horwell temperaments|Horwell or Lazoquinyo temperaments]]

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: Supermasesquartismic rank-two temperaments temper out the ''supermasesquartisma'', {{Monzo|-5 10 5 -8}} = 184528125/184473632.

; [[Ragismic microtemperaments|Ragismic or Zoquadyo ~~microtemperaments~~]]

; [[Ragismic microtemperaments|Ragismic or Zoquadyo temperaments]]

: Ragismic rank-two ~~microtemperaments~~ temper out the ragisma, {{Monzo|-1 -7 4 1}} = 4375/4374.

: Ragismic rank-two temperaments temper out the ragisma, {{Monzo|-1 -7 4 1}} = 4375/4374.

; Akjaysmic or Trisa-seprugu temperaments

@@ Line 208: / Line 208: @@
 ;  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.
+: 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]].
+: This clan tempers out the ''septiennealimma'' (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 ===
@@ Line 392: / Line 392: @@
 ; Pontiqak or Lazozotritriyo temperaments
 : Pontiqak rank-two temperaments temper out the ''pontiqak'' comma, {{Monzo|-17 -6 9 2}} = 95703125/95551488.
+; [[Mitonismic temperaments|Mitonismic or Laquadzo-agu temperaments]]
+: Mitonismic rank-two temperaments temper out the ''mitonisma'', {{Monzo|-20 7 -1 4}} = 5250987/5242880.
 ; [[Horwell temperaments|Horwell or Lazoquinyo temperaments]]
@@ Line 411: / Line 414: @@
 : Supermasesquartismic rank-two temperaments temper out the ''supermasesquartisma'', {{Monzo|-5 10 5 -8}} = 184528125/184473632.
-; [[Ragismic microtemperaments|Ragismic or Zoquadyo microtemperaments]]
+; [[Ragismic microtemperaments|Ragismic or Zoquadyo temperaments]]
-: Ragismic rank-two microtemperaments temper out the ragisma, {{Monzo|-1 -7 4 1}} = 4375/4374.
+: Ragismic rank-two temperaments temper out the ragisma, {{Monzo|-1 -7 4 1}} = 4375/4374.
 ; Akjaysmic or Trisa-seprugu temperaments