Tour of regular temperaments: Difference between revisions

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: This clan tempers out the Laquadru comma, {{nowrap|{{Monzo| -3 9 0 -4 }} {{=}} 19683/19208}}. its generator is ~9/7. Four generators equals ~8/3. 7/4 is equated to 4 octaves minus 9 generators. This clan includes as a strong extension the [[squares]] temperament, which is a weak extension of meantone.

; ~~Buzzardismic~~ or Saquadruti clan (P8, P12/4)

; [[Buzzardsmic clan|Buzzardsmic or Saquadruti clan]] (P8, P12/4)

: This clan tempers out the ''~~buzzardisma~~'', {{nowrap|{{Monzo| 16 -3 0 -4 }} {{=}} 65536/64827}}. Its generator is ~21/16. Four generators makes ~3/1. 7/4 is equated to 2 octaves minus 3 generators. This clan includes as a strong extension the [[Vulture family|vulture]] temperament, which is in the vulture family.

: This clan tempers out the ''buzzardsma'', {{nowrap|{{Monzo| 16 -3 0 -4 }} {{=}} 65536/64827}}. Its generator is ~21/16. Four generators makes ~3/1. 7/4 is equated to 2 octaves minus 3 generators. This clan includes as a strong extension the [[Vulture family|vulture]] temperament, which is in the vulture family.

; [[Cloudy clan|Cloudy or Laquinzoti clan]] (P8/5, P5)

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; Bleu or Quinruti clan (P8, P5/5)

: This clan tempers out the Quinru comma, {{nowrap|{{Monzo| 3 7 0 -5 }} {{=}} 17496/16807}}. The ~54/49 generator is about 139¢. Two of them equal ~7/6, three equal ~9/7, five equal ~3/2, and seven equal ~7/4.

~~; [[Buzzardsmic clan|Buzzardsmic or Quadruti]] clan (P8, P12/4)~~

: This clan tempers out the [[buzzard]] or [[65536/64827|Quadru comma]], {{nowrap|{{Monzo| 16 -3 0 -4 }} {{=}} 65536/64837}}. The ~21/16 generator is about 476¢. Three of them equal ~16/7 and four equal ~3/1.

; Saquinzoti clan (P8, P12/5)

@@ Line 224: / Line 224: @@
 : This clan tempers out the Laquadru comma, {{nowrap|{{Monzo| -3 9 0 -4 }} {{=}} 19683/19208}}. its generator is ~9/7. Four generators equals ~8/3. 7/4 is equated to 4 octaves minus 9 generators. This clan includes as a strong extension the [[squares]] temperament, which is a weak extension of meantone.
-; Buzzardismic or Saquadruti clan (P8, P12/4)
+; [[Buzzardsmic clan|Buzzardsmic or Saquadruti clan]] (P8, P12/4)
-: This clan tempers out the ''buzzardisma'', {{nowrap|{{Monzo| 16 -3 0 -4 }} {{=}} 65536/64827}}. Its generator is ~21/16. Four generators makes ~3/1. 7/4 is equated to 2 octaves minus 3 generators. This clan includes as a strong extension the [[Vulture family|vulture]] temperament, which is in the vulture family.
+: This clan tempers out the ''buzzardsma'', {{nowrap|{{Monzo| 16 -3 0 -4 }} {{=}} 65536/64827}}. Its generator is ~21/16. Four generators makes ~3/1. 7/4 is equated to 2 octaves minus 3 generators. This clan includes as a strong extension the [[Vulture family|vulture]] temperament, which is in the vulture family.
 ; [[Cloudy clan|Cloudy or Laquinzoti clan]] (P8/5, P5)
@@ Line 232: / Line 232: @@
 ; Bleu or Quinruti clan (P8, P5/5)
 : This clan tempers out the Quinru comma, {{nowrap|{{Monzo| 3 7 0 -5 }} {{=}} 17496/16807}}. The ~54/49 generator is about 139¢. Two of them equal ~7/6, three equal ~9/7, five equal ~3/2, and seven equal ~7/4.
-; [[Buzzardsmic clan|Buzzardsmic or Quadruti]] clan (P8, P12/4)
-: This clan tempers out the [[buzzard]] or [[65536/64827|Quadru comma]], {{nowrap|{{Monzo| 16 -3 0 -4 }} {{=}} 65536/64837}}. The ~21/16 generator is about 476¢. Three of them equal ~16/7 and four equal ~3/1.
 ; Saquinzoti clan (P8, P12/5)