Interval quality - Revision history

Sintel: add navbox

2025-06-14T11:54:56Z

add navbox

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	== See also ==		== See also ==
	* [[Interval variety]]		* [[Interval variety]]

			{{Navbox intervals}}

	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Scale]]		[[Category:Scale]]
	[[Category:Terms]]		[[Category:Terms]]

Fredg999: Categories

2023-08-27T05:50:37Z

Fredg999 category edits: Removing from Category:Stub using Cat-a-lot

2023-07-12T02:53:12Z

Removing from Category:Stub using Cat-a-lot

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	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Scale]]		[[Category:Scale]]
	~~[[Category:Stub]]~~

Inthar: /* Absolute interval quality */"Down-" depends on the ambient edo.

2023-06-02T19:54:52Z

Absolute interval quality: "Down-" depends on the ambient edo.

← Older revision		Revision as of 19:54, 2 June 2023
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	== Absolute interval quality ==		== Absolute interval quality ==
	Another way to generalize ~~the~~ interval qualities from ~~the~~ traditional theory is to define [[interval region]]s corresponding to the 12 tones of the chromatic scale. That way, similar intervals, such as [[13/11]] (~289{{cent}}), 3\12 (300{{cent}}), [[6/5]] (~316{{cent}}), and 3\[[11edo\|11]] (~327{{cent}}), can all be considered different flavours of minor thirds. These regions can further be subdivided into finer categories; for instance, smaller minor thirds could be qualified as "narrow minor thirds", "subminor ~~thirds", "downminor~~ thirds", etc.		Another way to generalize interval qualities from traditional theory is to define [[interval region]]s corresponding to the 12 tones of the chromatic scale. That way, similar intervals, such as [[13/11]] (~289{{cent}}), 3\12 (300{{cent}}), [[6/5]] (~316{{cent}}), and 3\[[11edo\|11]] (~327{{cent}}), can all be considered different flavours of minor thirds. These regions can further be subdivided into finer categories; for instance, smaller minor thirds could be qualified as "narrow minor thirds", "subminor thirds", etc.

	Interval regions can also be defined using a different framework than the diatonic scale. However, the diatonic scale is often preferred because it offers a familiar point of reference for many musicians.		Interval regions can also be defined using a different framework than the diatonic scale. However, the diatonic scale is often preferred because it offers a familiar point of reference for many musicians.

Fredg999: Expand absolute interval quality

2023-06-02T03:30:09Z

Expand absolute interval quality

← Older revision		Revision as of 03:30, 2 June 2023
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	== Absolute interval quality ==		== Absolute interval quality ==
	{{~~todo~~\|~~expand\|inline=1\|comment=Expand~~ "~~absolute quality~~" ~~(similar to interval~~ regions).}}		Another way to generalize the interval qualities from the traditional theory is to define [[interval region]]s corresponding to the 12 tones of the chromatic scale. That way, similar intervals, such as [[13/11]] (~289{{cent}}), 3\12 (300{{cent}}), [[6/5]] (~316{{cent}}), and 3\[[11edo\|11]] (~327{{cent}}), can all be considered different flavours of minor thirds. These regions can further be subdivided into finer categories; for instance, smaller minor thirds could be qualified as "narrow minor thirds", "subminor thirds", "downminor thirds", etc.

			Interval regions can also be defined using a different framework than the diatonic scale. However, the diatonic scale is often preferred because it offers a familiar point of reference for many musicians.

	== See also ==		== See also ==

Inthar: /* Relative interval quality */

2023-06-02T02:46:37Z

Relative interval quality

← Older revision		Revision as of 02:46, 2 June 2023
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	Given a scale, a ''relative interval quality'' is a specific interval size that occurs in a given [[interval class]] of the scale. An interval class is the set of all intervals in the scale that span a given number of [[step]]s. For example, all intervals that span two steps of a scale are ''thirds'' or ''2-steps''. (The latter is often used to avoid confusion with absolute interval quality and to make interval arithmetic in unfamiliar scales easier.) Scales with a higher density of notes typically have smaller 2-steps; as a result, in a scale with more or fewer notes per octave than the diatonic scale, 2-steps may fall outside of the usual range for diatonic thirds (i.e. between 240{{cent}} and 480{{cent}}).		Given a scale, a ''relative interval quality'' is a specific interval size that occurs in a given [[interval class]] of the scale. An interval class is the set of all intervals in the scale that span a given number of [[step]]s. For example, all intervals that span two steps of a scale are ''thirds'' or ''2-steps''. (The latter is often used to avoid confusion with absolute interval quality and to make interval arithmetic in unfamiliar scales easier.) Scales with a higher density of notes typically have smaller 2-steps; as a result, in a scale with more or fewer notes per octave than the diatonic scale, 2-steps may fall outside of the usual range for diatonic thirds (i.e. between 240{{cent}} and 480{{cent}}).

	In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. ~~Therefore, both intervals~~ 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.		In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Both 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.

	In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison, and the period class, which only contains the period. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|bright and dark generators]] contain only perfect intervals except for one ''imperfect'' interval, which is either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator. The other interval classes contain major and minor intervals.		In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison, and the period class, which only contains the period. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|bright and dark generators]] contain only perfect intervals except for one ''imperfect'' interval, which is either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator. The other interval classes contain major and minor intervals.

Inthar: /* Relative interval quality */

2023-06-02T02:38:12Z

Relative interval quality

← Older revision		Revision as of 02:38, 2 June 2023
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	In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Therefore, both intervals 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.		In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Therefore, both intervals 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.

	In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|bright and dark generators]] contain only perfect intervals except for one ''imperfect'' interval, which is either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator. The other interval classes contain major and minor intervals.		In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison, and the period class, which only contains the period. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|bright and dark generators]] contain only perfect intervals except for one ''imperfect'' interval, which is either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator. The other interval classes contain major and minor intervals.

	Scales with higher [[interval variety]] have interval classes with more qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.		Scales with higher [[interval variety]] have interval classes with more qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.

Inthar: /* Relative interval quality */

2023-06-02T02:36:43Z

Relative interval quality

← Older revision		Revision as of 02:36, 2 June 2023
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	In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Therefore, both intervals 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.		In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Therefore, both intervals 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.

	In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|bright and dark generators]] contain only perfect intervals except for one~~, which corresponds to the "wolf"~~ interval, which is ~~qualified as~~ either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator~~, or sometimes ''imperfect''~~. The other interval classes contain major and minor intervals.		In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|bright and dark generators]] contain only perfect intervals except for one ''imperfect'' interval, which is either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator. The other interval classes contain major and minor intervals.

	Scales with higher [[interval variety]] have interval classes with more qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.		Scales with higher [[interval variety]] have interval classes with more qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.

Inthar: /* Relative interval quality */

2023-06-02T02:35:29Z

Relative interval quality

← Older revision		Revision as of 02:35, 2 June 2023
Line 10:		Line 10:
	In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Therefore, both intervals 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.		In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Therefore, both intervals 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.

	In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|\|bright and dark generators]] contain only perfect intervals except for one, which corresponds to the "wolf" interval, which is qualified as either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator, or sometimes ''imperfect''. The other interval classes contain major and minor intervals.		In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|bright and dark generators]] contain only perfect intervals except for one, which corresponds to the "wolf" interval, which is qualified as either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator, or sometimes ''imperfect''. The other interval classes contain major and minor intervals.

	Scales with higher [[interval variety]] have interval classes with more qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.		Scales with higher [[interval variety]] have interval classes with more qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.

Inthar: /* Relative interval quality */

2023-06-02T02:35:08Z

Relative interval quality

← Older revision		Revision as of 02:35, 2 June 2023
Line 10:		Line 10:
	In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Therefore, both intervals 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.		In an [[equal tuning\|equal scale]], each interval class contains exactly one interval; in other words, every interval is perfect. Therefore, both intervals 5\[[8edo\|8]] and 5\[[13edo\|13]] are perfect 5-steps (or perfect sixths) within their respective [[edo]] taken as a scale, even though they have significantly different sizes.

	In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison ~~class~~. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|\|bright and dark generators]] contain only perfect intervals except for one, which corresponds to the "wolf" interval, which is qualified as either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator, or sometimes ''imperfect''. The other interval classes contain major and minor intervals.		In [[moment of symmetry]] (MOS) scales, each interval class contains two intervals except for the unison class, which only contains the unison. The two interval classes that correspond to the [[Modal UDP notation#Generalizing to arbitrary MOS scales: bright and dark generators (chroma-positive and chroma-negative)\|\|bright and dark generators]] contain only perfect intervals except for one, which corresponds to the "wolf" interval, which is qualified as either ''augmented'' or ''diminished'' depending on its size relative to the perfect generator, or sometimes ''imperfect''. The other interval classes contain major and minor intervals.

	Scales with higher [[interval variety]] have interval classes with more qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.		Scales with higher [[interval variety]] have interval classes with more qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.

← Older revision		Revision as of 05:50, 27 August 2023
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	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Scale]]		[[Category:Scale]]
			[[Category:Terms]]