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Tour of regular temperaments: Difference between revisions

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; [[Escapade family|Escapade or Sasa-tritriguti family]] (P8, P4/9)
; [[Escapade family|Escapade or Sasa-tritriguti family]] (P8, P4/9)
: This tempers out the [[escapade comma]], {{Monzo| 32 -7 -9 }}, which is the difference between nine just major thirds and seven just fourths. The generator is {{nowrap|{{Monzo| -14 3 4 }} {{=}} ~55¢}} and nine of them equal ~4/3. Seven of them equal ~5/4, thus two of them equal ~16/15. An obvious 11-limit interpretation of the generator is 33/32, leading to the Trisa-tritriluti temperament.   
: This tempers out the [[escapade comma]], {{Monzo| 32 -7 -9 }}, which is the difference between nine just major thirds and seven just fourths. The generator is {{nowrap|{{Monzo| -14 3 4 }} {{=}} ~55¢}} and nine of them equal ~4/3. Seven of them equal ~5/4, thus two of them equal ~16/15. An obvious 11-limit interpretation of the generator is 33/32, leading to the Trisa-tritriluti temperament.   
; [[Shibboleth family|Shibboleth or Tritriyoti family]] (P8, ccP4/9)
: This tempers out the shibboleth comma, {{nowrap|{{Monzo| -5 -10 9 }} {{=}} 1953125/1889568}}. Nine generators of ~6/5 equal a double compound 4th of ~16/3.  5/4 is equated to 3 octaves minus 10 generators.


; [[Mabila family|Mabila or Sasa-quinbiguti family]] (P8, c4P4/10)
; [[Mabila family|Mabila or Sasa-quinbiguti family]] (P8, c4P4/10)
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