Pitch class: Difference between revisions

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A ''pitch class'' is a set (equivalence class) of all pitches that are a whole number of ~~octaves~~ (2/1) apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class "C" is the set

A '''pitch class''' is a set (equivalence class) of all pitches that are a whole number of [[octave]]s (2/1) apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class "C" is the set

<math>\left\lbrace \ldots, C_{-2}, C_{-1}, C_0, C_1, C_2, \ldots \right\rbrace</math>

In terms of frequencies expressed in ~~hertz~~, assuming a base frequency for middle C of 262 Hz, this would be {~~...~~ 65.5, 131, 262, 524, 1028 ~~...~~}. In terms of ~~midi~~ note numbers, we can write it as {~~...~~ 36, 48, 60, 72, 84 ~~...~~}.

In terms of frequencies expressed in [[Hertz]], assuming a base frequency for middle C of 262 Hz, this would be {…, 65.5, 131, 262, 524, 1028, …}. In terms of [[MIDI]] note numbers, we can write it as {…, 36, 48, 60, 72, 84, …}.

In a [[nonoctave]] xenharmonic system, an interval other than the octave might be used to define equivalence. For example, in [[~~Bohlen-Pierce~~]] tuning and other [[edt|equal divisions per tritave]], all pitches separated by a whole number of tritaves (3/1) may be considered equivalent.

In a [[nonoctave]] xenharmonic system, an interval other than the octave might be used to define [[equivalence]]. For example, in [[Bohlen–Pierce]] tuning and other [[edt|equal divisions per tritave]], all pitches separated by a whole number of tritaves (3/1) may be considered equivalent.

=~~Links~~=

== See also ==

~~http://en.wikipedia.org/wiki/Pitch_class~~

* [[Interval class]]

* [[Octave equivalence]]

* [[Periodic scale]]

[[Category:~~pitch]]~~

[[Category:Scale]]

~~[[Category:theory]]~~

~~[[Category:tone~~]]

@@ Line 1: / Line 1: @@
-A ''pitch class'' is a set (equivalence class) of all pitches that are a whole number of octaves (2/1) apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class "C" is the set
+{{Wikipedia|Pitch class}}
+A '''pitch class''' is a set (equivalence class) of all pitches that are a whole number of [[octave]]s (2/1) apart, e.g., the pitch class C consists of the Cs in all octaves. Thus the pitch class "C" is the set
-<math>{..., C_{-2}, C_{-1}, C_0, C_1, C_2 ...}</math>
+<math>\left\lbrace \ldots, C_{-2}, C_{-1}, C_0, C_1, C_2, \ldots \right\rbrace</math>
-In terms of frequencies expressed in hertz, assuming a base frequency for middle C of 262 Hz, this would be {... 65.5, 131, 262, 524, 1028 ...}. In terms of midi note numbers, we can write it as {... 36, 48, 60, 72, 84 ...}.
+In terms of frequencies expressed in [[Hertz]], assuming a base frequency for middle C of 262&nbsp;Hz, this would be {…, 65.5, 131, 262, 524, 1028, …}. In terms of [[MIDI]] note numbers, we can write it as {…, 36, 48, 60, 72, 84, …}.
-In a [[nonoctave]] xenharmonic system, an interval other than the octave might be used to define equivalence.  For example, in [[Bohlen-Pierce]] tuning and other [[edt|equal divisions per tritave]], all pitches separated by a whole number of tritaves (3/1) may be considered equivalent.
+In a [[nonoctave]] xenharmonic system, an interval other than the octave might be used to define [[equivalence]]. For example, in [[Bohlen–Pierce]] tuning and other [[edt|equal divisions per tritave]], all pitches separated by a whole number of tritaves (3/1) may be considered equivalent.
-=Links=
+== See also ==
-http://en.wikipedia.org/wiki/Pitch_class
+* [[Interval class]]
+* [[Octave equivalence]]
+* [[Periodic scale]]
-[[Category:pitch]]
+[[Category:Scale]]
-[[Category:theory]]
-[[Category:tone]]