Antidilemma: Difference between revisions
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== Temperaments == | == Temperaments == | ||
Tempering out the antidilemma leads to the [[Dilemmic and antidilemmic|antidilemmic]] (tsuchi) temperament, which is equivalent to closing the circle of 13 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 13 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). | ||
[[Category:Commas named for other reasons]] | |||
Revision as of 06:44, 3 November 2024
See also: dilemma.
| Interval information |
tsuchi comma
reduced subharmonic
137438953472/96889010407, called the antidilemma, is a "comma" of over 600 cents. It is the amount by which 11 octaves exceeds 13 7/4s. 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 commas to do this).
Temperaments
Tempering out the antidilemma leads to the antidilemmic (tsuchi) temperament, which is equivalent to closing the circle of 13 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).