Tour of regular temperaments: Difference between revisions

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; Laruru clan (P8/2, P5)

: This clan tempers out the Laruru comma, {{Monzo|-7 8 0 -2}} = 6561/6272. Two ~81/56 periods equal an 8ve. The generator is ~3/2, and four generators minus three periods equals ~7/4. The major 2nd ~9/8 is divided in half, with each half equated to ~28/27. See also the ~~Diaschismatic~~ or Sagugu temperament and the ~~Jubalismic~~ or Biruyo temperament.

: This clan tempers out the Laruru comma, {{Monzo|-7 8 0 -2}} = 6561/6272. Two ~81/56 periods equal an 8ve. The generator is ~3/2, and four generators minus three periods equals ~7/4. The major 2nd ~9/8 is divided in half, with each half equated to ~28/27. See also the Diaschismic or Sagugu temperament and the Jubilismic or Biruyo temperament.

; Sasa-zozo clan (P8, P5/2)

; Parahemif or Sasa-zozo clan (P8, P5/2)

: This clan tempers out the ~~Sasa-zozo~~ comma, {{Monzo|15 -13 0 2}} = 1605632/1594323, and includes ~~as a~~ strong extension ~~the~~ [[~~Hemififths~~]] ~~temperament~~. 7/4 is equated to 13 generators minus 3 octaves. An obvious 11-limit interpretation of the ~351¢ generator is 11/9, leading to the Lulu temperament.

: This clan tempers out the parahemif comma, {{Monzo| 15 -13 0 2 }} = 1605632/1594323, and includes the [[hemif]] temperament and its strong extension [[hemififths]]. 7/4 is equated to 13 generators minus 3 octaves. An obvious 11-limit interpretation of the ~351¢ generator is 11/9, leading to the Lulu temperament.

; [[Gamelismic clan|Gamelismic or Latrizo clan]] (P8, P5/3)

@@ Line 164: / Line 164: @@
 ; Laruru clan (P8/2, P5)
-: This clan tempers out the Laruru comma, {{Monzo|-7 8 0 -2}} = 6561/6272. Two ~81/56 periods equal an 8ve. The generator is ~3/2, and four generators minus three periods equals ~7/4. The major 2nd ~9/8 is divided in half, with each half equated to ~28/27. See also the Diaschismatic or Sagugu temperament and the Jubalismic or Biruyo temperament.
+: This clan tempers out the Laruru comma, {{Monzo|-7 8 0 -2}} = 6561/6272. Two ~81/56 periods equal an 8ve. The generator is ~3/2, and four generators minus three periods equals ~7/4. The major 2nd ~9/8 is divided in half, with each half equated to ~28/27. See also the Diaschismic or Sagugu temperament and the Jubilismic or Biruyo temperament.
-; Sasa-zozo clan (P8, P5/2)
+; Parahemif or Sasa-zozo clan (P8, P5/2)
-: This clan tempers out the Sasa-zozo comma, {{Monzo|15 -13 0 2}} = 1605632/1594323, and includes as a strong extension the [[Hemififths]] temperament. 7/4 is equated to 13 generators minus 3 octaves. An obvious 11-limit interpretation of the ~351¢ generator is 11/9, leading to the Lulu temperament.
+: This clan tempers out the parahemif comma, {{Monzo| 15 -13 0 2 }} = 1605632/1594323, and includes the [[hemif]] temperament and its strong extension [[hemififths]]. 7/4 is equated to 13 generators minus 3 octaves. An obvious 11-limit interpretation of the ~351¢ generator is 11/9, leading to the Lulu temperament.
 ; [[Gamelismic clan|Gamelismic or Latrizo clan]] (P8, P5/3)