Tour of regular temperaments: Difference between revisions
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; [[Tetracot family|Tetracot or Saquadyo family]] (P8, P5/4) | ; [[Tetracot family|Tetracot or Saquadyo family]] (P8, P5/4) | ||
: The tetracot family is a much higher accuracy affair than the dicot family. Instead of taking two neutral thirds to reach 3/2, it takes four minor (10/9) whole tones. Four of these exceed 3/2 by {{Monzo|5 -9 4}} (20000/19683), the minimal diesis or [[tetracot comma]]. 5/4 is equated to 9 generators minus an octave. [[7edo|7EDO]] can also be considered a tetracot tuning, as can [[20edo|20EDO]], [[27edo|27EDO]], [[34edo|34EDO]], and [[41edo|41EDO]]. | : The tetracot family is a much higher accuracy affair than the dicot family. Instead of taking two neutral thirds to reach 3/2, it takes four minor (10/9) whole tones. Four of these exceed 3/2 by {{Monzo|5 -9 4}} (20000/19683), the minimal diesis or [[tetracot comma]]. 5/4 is equated to 9 generators minus an octave. [[7edo|7EDO]] can also be considered a tetracot tuning, as can [[20edo|20EDO]], [[27edo|27EDO]], [[34edo|34EDO]], and [[41edo|41EDO]]. | ||
; [[Smate family|Smate or Saquadgu family]] (P8, P11/4) | |||
: This tempers out the symbolic comma, 2048/1875 = {{Monzo|11 -1 -4}}. Its generator is ~5/4 = ~421¢, four of which make ~8/3. | |||
; [[Vulture family|Vulture or Sasa-quadyo family]] (P8, P12/4) | ; [[Vulture family|Vulture or Sasa-quadyo family]] (P8, P12/4) | ||