User:VectorGraphics/Dilemmic and antidilemmic: Difference between revisions
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'''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other [[circular temperament]]s, the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. However, the [[96889010407/68719476736|dilemma]] (and its octave complement the [[137438953472/96889010407|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal. | '''Requiem''' and '''tsuchi''' (also called '''dilemmic''' and '''antidilemmic''') are the two ways of closing the circle of [[7/4]]<nowiki/>s in [[13edo]], corresponding to the two 13edo intervals, 10\13 and 11\13, that 7/4 is pretty much exactly in between. With other [[circular temperament]]s, the [[comma]] is usually significantly smaller than 600c, meaning the circle can only reasonably be closed one way. {{Infobox Regtemp|TBD=TBD|Name=Dilemmic}}However, the [[96889010407/68719476736|dilemma]] (and its octave complement the [[137438953472/96889010407|antidilemma]]) are within 10 cents of sqrt(2), meaning that the difference in accuracy between flattening and sharpening 7/4 is minimal. | ||
For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma. | For clarification, '''requiem (dilemmic)''' tempers out the dilemma; and '''tsuchi (antidilemmic)''' tempers out the antidilemma. | ||