Tour of regular temperaments: Difference between revisions

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This clan tempers out the Saquadru comma, {{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 Saquadru comma, {{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 comma|Cloudy or Laquinzo clan]] (P8/5, P5) ===
=== [[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. 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.