Quark: Difference between revisions

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A '''quark''' is ~~a proposed term for~~ an interval that is one-third the size of a 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 a 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 ~~considering that larger equal temperaments~~ are ~~likely~~ to ~~have one or more types of~~ quark, ~~with~~ [[~~87edo~~]] ~~having~~ two ~~types~~.

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 is reached the octave short this residual interval known as the quark, here representing [[49/48]][[~]][[64/63]] tempered together; two quarks then represent [[28/27]].

One could argue that these tunings are much less overtly xenharmonic than those based on quarter-tones or third-tones. In 36edo, for example, all intervals are either equivalent to a 12edo interval, or are 33.3 cents higher or lower. As such, most of the "new" intervals are variations on familiar ones ("red notes" and "blue notes"), rather than representing entirely new categories; this is quite a different situation from what occurs in 24edo. 41edo is similar to 36edo in this respect and may be notated similarly, although it does contain neutral intervals. Conversely, some types of quark could legitimately be considered quarter-tones in their own right, for example, in 26edo, where the quark is literally one quarter of the whole tone.

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[[Category:Gamelismic]]

[[Category:26edo]]

[[Category:31edo]]

[[Category:36edo]]

[[Category:41edo]]

[[Category:46edo]]

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-A '''quark''' is a proposed term for an interval that is one-third the size of a 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 a 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 considering that larger equal temperaments are likely to have one or more types of quark, with [[87edo]] having two types.
+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 is reached the octave short this residual interval known as the quark, here representing [[49/48]][[~]][[64/63]] tempered together; two quarks then represent [[28/27]].
 One could argue that these tunings are much less overtly xenharmonic than those based on quarter-tones or third-tones. In 36edo, for example, all intervals are either equivalent to a 12edo interval, or are 33.3 cents higher or lower. As such, most of the "new" intervals are variations on familiar ones ("red notes" and "blue notes"), rather than representing entirely new categories; this is quite a different situation from what occurs in 24edo. 41edo is similar to 36edo in this respect and may be notated similarly, although it does contain neutral intervals.  Conversely, some types of quark could legitimately be considered quarter-tones in their own right, for example, in 26edo, where the quark is literally one quarter of the whole tone.
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 [[Category:Gamelismic]]
+[[Category:26edo]]
 [[Category:31edo]]
 [[Category:36edo]]
 [[Category:41edo]]
 [[Category:46edo]]