Quark - Revision history

Lériendil at 03:50, 30 August 2025

2025-08-30T03:50:22Z

← Older revision		Revision as of 03:50, 30 August 2025
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	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.		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, and its extensions, 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]].		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, and its extensions in the [[gamelismic clan]], 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.		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.

Lériendil at 03:50, 30 August 2025

2025-08-30T03:50:06Z

← Older revision		Revision as of 03:50, 30 August 2025
Line 1:		Line 1:
	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.		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 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]].		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, and its extensions, 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.		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.

Lériendil at 00:56, 28 January 2025

2025-01-28T00:56:22Z

← Older revision		Revision as of 00:56, 28 January 2025
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	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.		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 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.		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.

Lériendil at 15:45, 27 January 2025

2025-01-27T15:45:26Z

← Older revision		Revision as of 15:45, 27 January 2025
Line 1:		Line 1:
	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]].

Lériendil: added reference to slendric where quarks are encountered

2025-01-27T15:45:10Z

added reference to slendric where quarks are encountered

← Older revision		Revision as of 15:45, 27 January 2025
Line 1:		Line 1:
	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]]. 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.		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]].

	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.		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.

FloraC: This is obviously meant to be a Pythagorean diatonic semitone, not arbitrary diatonic semitones

2025-01-27T07:19:47Z

This is obviously meant to be a Pythagorean diatonic semitone, not arbitrary diatonic semitones

← Older revision		Revision as of 07:19, 27 January 2025
Line 1:		Line 1:
	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]]. 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.

	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.		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:Gamelismic]]
			[[Category:26edo]]
	[[Category:31edo]]		[[Category:31edo]]
	[[Category:36edo]]		[[Category:36edo]]
	[[Category:41edo]]		[[Category:41edo]]
	[[Category:46edo]]		[[Category:46edo]]

Aura at 21:41, 26 January 2025

2025-01-26T21:41:35Z

← Older revision		Revision as of 21:41, 26 January 2025
Line 1:		Line 1:
	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 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.

	Equal temperaments with quark-sized steps include [[26edo]], [[31edo]], [[36edo]] (the "standard" quark or sixth-tone), [[41edo]], and [[46edo]].		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.

	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.		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.

	Furthermore, the quark is usually small enough that it is typically perceived as a consonance (i. e., an "out-of-tune" but pleasant-sounding unison) rather than a dissonance. 31edo may be considered a transitional case in that its diesis may or may not be perceived this way depending on timbre.		Furthermore, the quark is usually small enough that it is typically perceived as a consonance (i.e., an "out-of-tune" but pleasant-sounding unison) rather than a dissonance. 31edo may be considered a transitional case in that its diesis may or may not be perceived this way depending on timbre.

	Of course, the main drawback to using quark-based scales as opposed to simpler ones, is that the step size is smaller and there are more pitches.		Of course, the main drawback to using quark-based scales as opposed to simpler ones, is that the step size is smaller and there are more pitches.

ArrowHead294 at 13:31, 31 December 2024

2024-12-31T13:31:31Z

← Older revision		Revision as of 13:31, 31 December 2024
Line 1:		Line 1:
	A '''quark''' is a proposed term for an interval that is ~~1/3~~ the size of a diatonic semitone. As a result it can also be called a sixth-tone (although it may not be 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 ~~[[wikipedia: quark~~\| quark]] is derived from subatomic physics, where there are three quarks in a baryon.		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.

	Equal temperaments with quark-sized steps include [[26edo]], [[31edo]], [[36edo]] (the "standard" quark or sixth-tone), [[41edo]], and [[46edo]].		Equal temperaments with quark-sized steps include [[26edo]], [[31edo]], [[36edo]] (the "standard" quark or sixth-tone), [[41edo]], and [[46edo]].

	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, ~~all~~ "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.		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.

	Furthermore, the quark is usually small enough that it is typically perceived as a consonance (i. e., an "out-of-tune" but pleasant-sounding unison) rather than a dissonance. 31edo may be considered a transitional case in that its diesis may or may not be perceived this way depending on timbre.		Furthermore, the quark is usually small enough that it is typically perceived as a consonance (i. e., an "out-of-tune" but pleasant-sounding unison) rather than a dissonance. 31edo may be considered a transitional case in that its diesis may or may not be perceived this way depending on timbre.
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	[[Category:36edo]]		[[Category:36edo]]
	[[Category:41edo]]		[[Category:41edo]]
			[[Category:46edo]]

FloraC: +category

2021-01-25T06:50:46Z

+category

← Older revision		Revision as of 06:50, 25 January 2021
Line 9:		Line 9:
	Of course, the main drawback to using quark-based scales as opposed to simpler ones, is that the step size is smaller and there are more pitches.		Of course, the main drawback to using quark-based scales as opposed to simpler ones, is that the step size is smaller and there are more pitches.

			[[Category:Gamelismic]]
	[[Category:31edo]]		[[Category:31edo]]
	[[Category:36edo]]		[[Category:36edo]]
	[[Category:41edo]]		[[Category:41edo]]

Xenwolf: some cleanup, added Wikipedia's Quark article as reference

2020-11-16T14:08:12Z

some cleanup, added Wikipedia's Quark article as reference

← Older revision		Revision as of 14:08, 16 November 2020
Line 1:		Line 1:
	A '''quark''' is a proposed term for an interval that is 1/3 the size of a diatonic semitone. As a result it can also be called a sixth-tone (although it may not be 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 is derived from subatomic physics, where there are three quarks in a baryon.		A '''quark''' is a proposed term for an interval that is 1/3 the size of a diatonic semitone. As a result it can also be called a sixth-tone (although it may not be 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 [[wikipedia: quark\| quark]] is derived from subatomic physics, where there are three quarks in a baryon.

	Equal temperaments with quark-sized steps include [[~~26edo\|~~26edo]], [[~~31edo\|~~31edo]], [[~~36edo\|~~36edo]] (the "standard" quark or sixth-tone), [[~~41edo\|~~41edo]], and [[~~46edo\|~~46edo]].		Equal temperaments with quark-sized steps include [[26edo]], [[31edo]], [[36edo]] (the "standard" quark or sixth-tone), [[41edo]], and [[46edo]].

	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, all "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.		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, all "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.
Line 8:		Line 8:

	Of course, the main drawback to using quark-based scales as opposed to simpler ones, is that the step size is smaller and there are more pitches.		Of course, the main drawback to using quark-based scales as opposed to simpler ones, is that the step size is smaller and there are more pitches.

	[[Category:31edo]]		[[Category:31edo]]
	[[Category:36edo]]		[[Category:36edo]]
	[[Category:41edo]]		[[Category:41edo]]