Antidilemma: Difference between revisions

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{{Infobox Interval|Comma=Yes|Ratio=137438953472/96889010407|Name=antidilemma, tsuchi comma, 13-fold 7th subharmonic}}

{{Infobox Interval

'''137438953472/96889010407''', called the '''antidilemma,''' is a "comma" of over 600 cents. It forms the amount by which eleven [[2/1|octaves]] exceeds thirteen [[7/4]]<nowiki/>s, and may be described as ''13-fold 7th subharmonic tritone''. It is called the antidilemma as a counterpart to the dilemma, after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (the dilemma is one of the lowest [[Circular temperament|circular]] commas to do this).

| Comma = Yes

| Ratio = 137438953472/96889010407

| Name = antidilemma, tsuchi comma, 13-fold 7th subharmonic

}}

'''137438953472/96889010407''', called the '''antidilemma''', is a "comma" of over 600 cents. It forms the amount by which eleven [[2/1|octaves]] exceeds thirteen [[7/4]]<nowiki/>s, and may be described as ''13-fold 7th subharmonic tritone''. It is called the antidilemma as a counterpart to the dilemma, after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (the dilemma is one of the lowest [[Circular temperament|circular]] commas to do this).

== Temperaments ==

Tempering out the antidilemma leads to the [[Dilemmic and antidilemmic|antidilemmic]] (tsuchi) temperament, which is equivalent to closing the circle of thirteen 7/4s to create [[13edo]], where 7/4 is represented by ~~11＼13~~. (If 7/4 is represented by ~~10＼13~~ instead, thus tempering out [[96889010407/68719476736]], it leads to the [[dilemmic]] or requiem temperament).

Tempering out the antidilemma leads to the [[Dilemmic and antidilemmic|antidilemmic]] (tsuchi) temperament, which is equivalent to closing the circle of thirteen 7/4s to create [[13edo]], where 7/4 is represented by 11\13. (If 7/4 is represented by 10\13 instead, thus tempering out [[96889010407/68719476736]], it leads to the [[dilemmic]] or requiem temperament).

== See also ==

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-{{Infobox Interval|Comma=Yes|Ratio=137438953472/96889010407|Name=antidilemma, tsuchi comma, 13-fold 7th subharmonic}}
+{{Novelty}}
+{{Infobox Interval
-'''137438953472/96889010407''', called the '''antidilemma,''' is a "comma" of over 600 cents. It forms the amount by which eleven [[2/1|octaves]] exceeds thirteen [[7/4]]<nowiki/>s, and may be described as ''13-fold 7th subharmonic tritone''. It is called the antidilemma as a counterpart to the dilemma, after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (the dilemma is one of the lowest [[Circular temperament|circular]] commas to do this).
+| Comma = Yes
+| Ratio = 137438953472/96889010407
+| Name = antidilemma, tsuchi comma, 13-fold 7th subharmonic
+}}
+'''137438953472/96889010407''', called the '''antidilemma''', is a "comma" of over 600 cents. It forms the amount by which eleven [[2/1|octaves]] exceeds thirteen [[7/4]]<nowiki/>s, and may be described as ''13-fold 7th subharmonic tritone''. It is called the antidilemma as a counterpart to the dilemma, after forced moral dilemmas in interactive fiction, and after its location almost perfectly in between two octaves (the dilemma is one of the lowest [[Circular temperament|circular]] commas to do this).
 == Temperaments ==
-Tempering out the antidilemma leads to the [[Dilemmic and antidilemmic|antidilemmic]] (tsuchi) temperament, which is equivalent to closing the circle of thirteen 7/4s to create [[13edo]], where 7/4 is represented by 11＼13. (If 7/4 is represented by 10＼13 instead, thus tempering out [[96889010407/68719476736]], it leads to the [[dilemmic]] or requiem temperament).
+Tempering out the antidilemma leads to the [[Dilemmic and antidilemmic|antidilemmic]] (tsuchi) temperament, which is equivalent to closing the circle of thirteen 7/4s to create [[13edo]], where 7/4 is represented by 11\13. (If 7/4 is represented by 10\13 instead, thus tempering out [[96889010407/68719476736]], it leads to the [[dilemmic]] or requiem temperament).
 == See also ==