Tour of regular temperaments: Difference between revisions
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Cataharry temperaments temper out the cataharry comma, {{Monzo|-4 9 -2 -2}} = 19683/19600. In the pergen, half a 4th is ~81/70, and ^1 = ~81/80. | Cataharry temperaments temper out the cataharry comma, {{Monzo|-4 9 -2 -2}} = 19683/19600. In the pergen, half a 4th is ~81/70, and ^1 = ~81/80. | ||
===[[Breed family|Breed or Bizozogu family]] (P8, P5/2, | ===[[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, | 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. | ||
===[[Mirwomo family|Mirwomo or Labizoyo family]] (P8, P5/2, ^1)=== | ===[[Mirwomo family|Mirwomo or Labizoyo family]] (P8, P5/2, ^1)=== | ||
The mirwomo family of rank three temperaments tempers out the mirwomo comma, {{Monzo|-15 3 2 2}} = 33075/32768. In the pergen, half a fifth is ~128/105, and ^1 = ~81/80. | The mirwomo family of rank three temperaments tempers out the mirwomo comma, {{Monzo|-15 3 2 2}} = 33075/32768. In the pergen, half a fifth is ~128/105, and ^1 = ~81/80. | ||
===[[Trimyna family|Trimyna or Quinzogu family]] (P8, ccP4/5, ^1)=== | |||
The trimyna family of rank three temperaments tempers out the trimyna comma, {{Monzo|-4 1 -5 5}} = 50421/50000. In the pergen, 1/5 of double-compound fourth is ~7/5, and ^1 = ~81/80. | |||
===[[Sengic family|Sengic or Trizo-agugu family]] (P8, P5, vm3/2)=== | ===[[Sengic family|Sengic or Trizo-agugu family]] (P8, P5, vm3/2)=== |