Interval size measure: Difference between revisions

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Intervals are sometimes expressed in the number of scale steps between them. These steps can be of different size, compare for example the names of the major scale in the classic music. An early unit for measuring intervals is the "[[tone]]" which dates back to classic Greece.

In serial music all intervals were measured by the number of 12edo-semitones. In analogy, the '''relative interval measure''' is the number of steps between two pitches of an [[~~Equal-step~~ tuning~~|equal~~]] ~~tuning~~, sometimes called "[[degree]]s" ~~(of an edo)~~. ~~For generators,~~ the backslash notation ~~is used d\edo~~, but ~~it is also~~ a ~~ratio~~ (of a logarithmic ~~measure)~~.

In serial music, all intervals were measured by the number of 12edo semitones. In analogy, the '''relative interval measure''' is the number of steps between two pitches of an [[equal tuning]], sometimes called "[[degree]]s". These measures can be written using the '''backslash notation''', which looks like a frequency ratio but using a backslash (instead of a forward slash) to indicate a logarithmic ratio. For example, 11\15 means 11 steps of 15edo, 4\9edf means 4 steps of 9edf, and 16\21ed12/7 means 16 steps of 21ed12/7.

=== Fine ===

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 Intervals are sometimes expressed in the number of scale steps between them. These steps can be of different size, compare for example the names of the major scale in the classic music. An early unit for measuring intervals is the "[[tone]]" which dates back to classic Greece.
-In serial music all intervals were measured by the number of 12edo-semitones. In analogy, the '''relative interval measure''' is the number of steps between two pitches of an [[Equal-step tuning|equal]] tuning, sometimes called "[[degree]]s" (of an edo). For generators, the backslash notation is used d\edo, but it is also a ratio (of a logarithmic measure).
+In serial music, all intervals were measured by the number of 12edo semitones. In analogy, the '''relative interval measure''' is the number of steps between two pitches of an [[equal tuning]], sometimes called "[[degree]]s". These measures can be written using the '''backslash notation''', which looks like a frequency ratio but using a backslash (instead of a forward slash) to indicate a logarithmic ratio. For example, 11\15 means 11 steps of 15edo, 4\9edf means 4 steps of 9edf, and 16\21ed12/7 means 16 steps of 21ed12/7.
 === Fine ===