Interval region: Difference between revisions
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There are infinite possible intervals (both tempered and just), even within a single octave. It can be helpful to group these intervals into a finite number of '''interval regions''' | There are infinite possible intervals (both tempered and just), even within a single [[2/1|octave]]. It can be helpful to group these intervals into a finite number of '''interval regions''' or '''interval categories'''. | ||
== Concrete regions vs abstract categories == | |||
An ''interval region'' usually implies it is concrete, defined by concrete boundaries of interval sizes. The boundaries are usually fuzzy to allow some vagueness, in line with how we perceive them. Which region an interval falls into solely depends on the interval's size. | |||
An ''interval category'' is usually meant to be abstract. It uses some [[mapping]] to determine which category an interval falls into, short-circuiting the question of where exactly to place the boundaries. It also takes account of an interval's [[prime factorization|prime components]], allowing us to find a composite interval's category through [[interval arithmetic]]. | |||
The [[5L 2s|diatonic]] interval category system commonly used to categorize JI intervals consists of a [[interval quality|quality]] and a diatonic scale degree. | |||
== Extended-diatonic interval names == | == Extended-diatonic interval names == | ||
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== See also == | == See also == | ||
; Interval region naming schemes | |||
* [[Mike Sheiman's Alternative Interval Categorizations]] | * [[Mike Sheiman's Alternative Interval Categorizations]] | ||
* [[SKULO interval names]] | * [[SKULO interval names]] | ||
* [[User:VectorGraphics/Walker brightness notation|Walker brightness notation]] | |||
* [[5L 2s/Interval categories]] | * [[5L 2s/Interval categories]] | ||
; Other related concepts | |||
* [[Supermajor and subminor]] | * [[Supermajor and subminor]] | ||
* [[Interval size measure]] | * [[Interval size measure]] | ||
* [[Table of MOSes]] | * [[Table of MOSes]] | ||
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* [[Universal solfege]] - [[solfege]] based on the Schulter system | * [[Universal solfege]] - [[solfege]] based on the Schulter system | ||
[[Category:Interval | [[Category:Interval regions| ]] | ||
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[[Category:Classification]] | [[Category:Classification]] | ||
[[Category:Distance measure]] | [[Category:Distance measure]] | ||