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Tempering it out with both the [[schisma]] and [[trimitone comma]] gives a description of [[65edo]] in the no-7's [[11-limit]], making it an excellent way to extend schismic to include prime 11. | Tempering it out with both the [[schisma]] and [[trimitone comma]] gives a description of [[65edo]] in the no-7's [[11-limit]], making it an excellent way to extend schismic to include prime 11. | ||
Another strategy is to take advantage of the size of [[121/120|S11]] so as to equate it with [[144/143|S12 = 144/143]] = ([[16/13]])/([[11/9]]), for those seeking to keep the undecimal and tridecimal neutral thirds distinct, thus tempering [[325/324|S10/S12 = S25*S26 = 325/324]], a comma with various advantages. Observing that [[4000/3993|S10/S11]] = ([[540/539|S12/S14]])/([[9801/9800|S33/S35 = S99]]) then shows a natural path, if one is willing to split the octave in half, leading to [[hades]], which extends naturally to the 17-limit by tempering [[289/288|S17]] = ([[17/12]])/([[24/17]]). | |||
These are just a few examples, but there is a massive wealth of possible high-accuracy temperaments that temper out this comma, including the [[41-limit]] temperament [[311edo]]. | These are just a few examples, but there is a massive wealth of possible high-accuracy temperaments that temper out this comma, including the [[41-limit]] temperament [[311edo]]. | ||
[[Category:Wizardharry]] | [[Category:Wizardharry]] | ||