Interval quality: Difference between revisions

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In an [[equal tuning|equal scale]], each interval class contains a single perfect interval; in other words, each 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'' ~~when considering the general case~~. 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 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.

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

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 In an [[equal tuning|equal scale]], each interval class contains a single perfect interval; in other words, each 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'' when considering the general case. 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 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.
 Scales with higher [[interval variety]] require additional qualities. Although there are no standard labels yet, ''large'', ''medium'' and ''small'' can be used for variety-3 interval classes.