Dilemma: Difference between revisions

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{{Infobox Interval|Ratio=96889010407/68719476736|Comma=Yes|Name=dilemma, 7-13 circular comma}}
''See also: [[137438953472/96889010407|antidilemma]].''https://cdn.jsdelivr.net/gh/twitter/[email protected]/assets/svg/2601.svg<nowiki/>{{Infobox Interval|Ratio=96889010407/68719476736|Comma=Yes|Name=dilemma, 7-13 circular comma}}


'''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost 600 cents. It is the amount by which 13 [[7/4]]<nowiki/>s exceeds 10 [[Octave|octaves]]. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (it is one of the lowest [[Circular temperament|circular]] commas to do this).  
'''96889010407/68719476736,''' called the '''dilemma,''' is a "comma" of almost 600 cents. It is the amount by which 13 [[7/4]]<nowiki/>s exceeds 10 [[Octave|octaves]]. It is called the dilemma after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (it is one of the lowest [[Circular temperament|circular]] commas to do this).


== Temperaments ==
== Temperaments ==
Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).
Tempering out the dilemma leads to the [[dilemmic]] (requiem) temperament, which is equivalent to closing the circle of 13 7/4s to create [[13edo]], where 7/4 is represented by 10\13. (If 7/4 is represented by 11\13 instead, thus tempering out [[137438953472/96889010407]], it leads to the [[antidilemmic]] or tsuchi temperament).