Quark: Difference between revisions

added reference to slendric where quarks are encountered
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A '''quark''' is an interval that is one-third the size of a possibly tempered [[256/243|Pythagorean diatonic semitone]]. As a result it can also be called a sixth-tone (although it may not be {{frac|1|6}} the size of the tempered whole tone). Since the width of the diatonic semitone is variable and depends on the tuning, a quark can take a range of different values. The term "{{w|quark}}" is derived from subatomic physics, where there are three quarks in a baryon.
A '''quark''' is an interval that is one-third the size of a possibly tempered [[256/243|Pythagorean diatonic semitone (256/243)]]. As a result it can also be called a sixth-tone (although it may not be {{frac|1|6}} the size of the tempered whole tone). Since the width of the diatonic semitone is variable and depends on the tuning, a quark can take a range of different values. The term "{{w|quark}}" is derived from subatomic physics, where there are three quarks in a baryon.


Equal temperaments with quark-sized steps include [[26edo]], [[31edo]], [[36edo]] (the "standard" quark or sixth-tone), [[41edo]], and [[46edo]], though this list is far from exhaustive. Most commonly, quarks are encountered in the [[slendric]] temperament, as supported by the aforementioned EDOs, where three [[8/7]] intervals stack to [[3/2]], and after five 8/7s, they reach the octave short this residual interval known as the quark, here representing [[49/48]][[~]][[64/63]] tempered together; two quarks then represent [[28/27]].
Equal temperaments with quark-sized steps include [[26edo]], [[31edo]], [[36edo]] (the "standard" quark or sixth-tone), [[41edo]], and [[46edo]], though this list is far from exhaustive. Most commonly, quarks are encountered in the [[slendric]] temperament, as supported by the aforementioned EDOs, where three [[8/7]] intervals stack to [[3/2]], and after five 8/7s, they reach the octave short this residual interval known as the quark, here representing [[49/48]][[~]][[64/63]] tempered together; two quarks then represent [[28/27]].