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). | ||
Revision as of 09:36, 20 October 2024
See also: antidilemma.https://cdn.jsdelivr.net/gh/twitter/[email protected]/assets/svg/2601.svg
![https://cdn.jsdelivr.net/gh/twitter/[email protected]/assets/svg/2601.svg](https://cdn.jsdelivr.net/gh/twitter/twemoji@14.0.2/assets/svg/2601.svg){kind=link}
| Interval information |
7-13 circular comma
reduced harmonic
96889010407/68719476736, called the dilemma, is a "comma" of almost 600 cents. It is the amount by which 13 7/4s exceeds 10 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 commas to do this).
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).