Tour of regular temperaments: Difference between revisions
The list in rank-4 temperaments is actually about rank-3 |
→Rank-3 temperaments: -tolermic -mirwomo (addressed by pentacircle temperaments and rastmic temperaments respectively) |
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; [[Hemimage family|Hemimage or Satrizo-agu family]] (P8, P5, ^1) | ; [[Hemimage family|Hemimage or Satrizo-agu family]] (P8, P5, ^1) | ||
: The hemimage family of rank three temperaments tempers out the hemimage comma, {{Monzo|5 -7 -1 3}} = 10976/10935. In the pergen, ^1 = ~64/63. | : The hemimage family of rank three temperaments tempers out the hemimage comma, {{Monzo|5 -7 -1 3}} = 10976/10935. In the pergen, ^1 = ~64/63. | ||
; [[Mint family|Mint or Rugu family]] (P8, P5, ^1) | ; [[Mint family|Mint or Rugu family]] (P8, P5, ^1) | ||
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; [[Breed family|Breed or Bizozogu family]] (P8, P5/2, ^1) | ; [[Breed family|Breed or Bizozogu family]] (P8, P5/2, ^1) | ||
: Breed is a 7-limit microtemperament which tempers out {{Monzo|-5 -1 -2 4}} = 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is even tempered at all, 2749EDO will certainly do the trick. Breed has generators of 2/1, a 49/40-cum-60/49 neutral third, and ~64/63. | : Breed is a 7-limit microtemperament which tempers out {{Monzo|-5 -1 -2 4}} = 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is even tempered at all, 2749EDO will certainly do the trick. Breed has generators of 2/1, a 49/40-cum-60/49 neutral third, and ~64/63. | ||
; [[Sengic family|Sengic or Trizo-agugu family]] (P8, P5, vm3/2) | ; [[Sengic family|Sengic or Trizo-agugu family]] (P8, P5, vm3/2) | ||
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: The canou family of rank three temperaments tempers out the canousma, {{Monzo|4 -14 3 4}} = 4802000/4782969. Three ~81/70 generators equal the pergen's downminor 6th of ~14/9. | : The canou family of rank three temperaments tempers out the canousma, {{Monzo|4 -14 3 4}} = 4802000/4782969. Three ~81/70 generators equal the pergen's downminor 6th of ~14/9. | ||
; | ; [[Dimcomp family|Dimcomp or Quadruyoyo family]] (P8/4, P5, ^1) | ||
: The dimcomp family of rank three temperaments tempers out the dimcomp comma, {{Monzo|-1 -4 8 -4}} = 390625/388962. In the pergen, the quarter-octave period is ~25/21, and ^1 = ~81/80. | : The dimcomp family of rank three temperaments tempers out the dimcomp comma, {{Monzo|-1 -4 8 -4}} = 390625/388962. In the pergen, the quarter-octave period is ~25/21, and ^1 = ~81/80. | ||