Tour of regular temperaments: Difference between revisions
Added the mapping of 5/4 to all 5-limit temperaments. Added 7/4 mapping to 2.3.7 clans, etc. Did a little cleanup. |
→2.3.5 Families: Added Negri |
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===[[Dimipent family|Dimipent or Quadgu family]] (P8/4, P5)=== | ===[[Dimipent family|Dimipent or Quadgu family]] (P8/4, P5)=== | ||
The dimipent (or diminished) family tempers out the major diesis or diminished comma, [3 4 -4> or [[648/625]], the amount by which four 6/5 minor thirds exceed an octave, and so identifies the minor third with the quarter-octave. Hence it has the same 300-cent 6/5-approximations as [[12edo]]. 5/4 is equated to 1 fifth minus 1 period. | The dimipent (or diminished) family tempers out the major diesis or diminished comma, [3 4 -4> or [[648/625]], the amount by which four 6/5 minor thirds exceed an octave, and so identifies the minor third with the quarter-octave. Hence it has the same 300-cent 6/5-approximations as [[12edo]]. 5/4 is equated to 1 fifth minus 1 period. | ||
=== [[Negri|Negri or Laquadyo family]] (P8, P4/4) === | |||
This tempers out the [[negri comma]], [-14 3 4>. Its generator is ~16/15 , four of which make ~4/3. 5/4 is equated to 3 generators. | |||
===[[Tetracot family|Tetracot or Saquadyo family]] (P8, P5/4)=== | ===[[Tetracot family|Tetracot or Saquadyo family]] (P8, P5/4)=== | ||