Interval size measure: Difference between revisions

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For "atonal" music it was replaced by the number of 12edo-semitones.

Proposal: The '''relative interval measure''' is the number of steps between two pitches of an [[Equal ~~temperament~~|equal]] tuning, sometimes called [[Degree|degree]]s (of an edo). For generators, the backslash notation is used d\edo, but it is also a ratio (of a logarithmic measure).

Proposal: The '''relative interval measure''' is the number of steps between two pitches of an [[Equal-step tuning|equal]] tuning, sometimes called [[Degree|degree]]s (of an edo). For generators, the backslash notation is used d\edo, but it is also a ratio (of a logarithmic measure).

===Fine===

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See [http://www.huygens-fokker.org/docs/measures.html Logarithmic Interval Measures]

Within a given [[Equal ~~temperament~~|equal]]-stepped tonal system, the [[Relative_cent|relative cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[Just intonation|JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neighbouring pitches in the used equal tuning.

Within a given [[Equal-step tuning|equal]]-stepped tonal system, the [[Relative_cent|relative cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[Just intonation|JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neighbouring pitches in the used equal tuning.

see also: Kirnberger Atom http://arxiv.org/abs/0907.5249

@@ Line 9: / Line 9: @@
 For "atonal" music it was replaced by the number of 12edo-semitones.
-Proposal: The '''relative interval measure''' is the number of steps between two pitches of an [[Equal temperament|equal]] tuning, sometimes called [[Degree|degree]]s (of an edo). For generators, the backslash notation is used d\edo, but it is also a ratio (of a logarithmic measure).
+Proposal: The '''relative interval measure''' is the number of steps between two pitches of an [[Equal-step tuning|equal]] tuning, sometimes called [[Degree|degree]]s (of an edo). For generators, the backslash notation is used d\edo, but it is also a ratio (of a logarithmic measure).
 ===Fine===
@@ Line 18: / Line 18: @@
 See [http://www.huygens-fokker.org/docs/measures.html Logarithmic Interval Measures]
-Within a given [[Equal temperament|equal]]-stepped tonal system, the [[Relative_cent|relative cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[Just intonation|JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neighbouring pitches in the used equal tuning.
+Within a given [[Equal-step tuning|equal]]-stepped tonal system, the [[Relative_cent|relative cent]] (rct, r¢) can be used to describe properties of pitches (for instance the approximation of [[Just intonation|JI]] intervals). It is defined as on 100th (or 1 percent) of the interval between two neighbouring pitches in the used equal tuning.
 see also: Kirnberger Atom http://arxiv.org/abs/0907.5249