Tour of regular temperaments: Difference between revisions
m →Schismatic or Layo family (P8, P5): consistent linking |
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This clan tempers out the Laru comma [-13 10 0 -1> = 50.7¢. It equates 7/4 to an augmented 6th. Its best downward extension is [[Meantone family|Septimal Meantone]]. | This clan tempers out the Laru comma [-13 10 0 -1> = 50.7¢. It equates 7/4 to an augmented 6th. Its best downward extension is [[Meantone family|Septimal Meantone]]. | ||
===[[Garischismic | ===[[Garischismic clan|Garischismic or Sasaru clan]] (P8, P5)=== | ||
This clan tempers out the garischisma, [25 -14 0 -1> = 33554432/33480783. It equates 8/7 to two apotomes ([-11 7> = 2187/2048), and 7/4 to a double-diminished 8ve [23 -14>. This clan includes [[Vulture family|vulture]], [[Breedsmic temperaments|newt]], [[Schismatic family|garibaldi]], [[Landscape microtemperaments|sextile]], and satin. | This clan tempers out the [[garischisma]], [25 -14 0 -1> = 33554432/33480783. It equates 8/7 to two apotomes ([-11 7> = 2187/2048), and 7/4 to a double-diminished 8ve [23 -14>. This clan includes [[Vulture family #Vulture|vulture]], [[Breedsmic temperaments #Newt|newt]], [[Schismatic family #Garibaldi|garibaldi]], [[Landscape microtemperaments #Sextile|sextile]], and [[Canousmic temperaments #Satin|satin]]. | ||
===[[Trienstonic clan|Trienstonic or Zo clan]] (P8, P5) === | ===[[Trienstonic clan|Trienstonic or Zo clan]] (P8, P5) === | ||
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Archytas temperament tempers out 64/63. This comma equates every 7-limit interval to some 3-limit interval. If 81/80 were tempered out too, the otonal tetrad 4:5:6:7 would be identified with the dominant seventh chord. | Archytas temperament tempers out 64/63. This comma equates every 7-limit interval to some 3-limit interval. If 81/80 were tempered out too, the otonal tetrad 4:5:6:7 would be identified with the dominant seventh chord. | ||
===[[Garischismic | ===[[Garischismic clan|Garischismic or Sasaru family]] (P8, P5, ^1)=== | ||
A garischismic temperament is one which tempers out the garischisma, [25 -14 0 -1> = 33554432/33480783. | A garischismic temperament is one which tempers out the garischisma, [25 -14 0 -1> = 33554432/33480783. | ||