Interval class: Difference between revisions
m Removing from Category:Theory using Cat-a-lot |
No edit summary |
||
| Line 2: | Line 2: | ||
'''Interval class''' is used in the following ways. First, common in academic [[Wikipedia: Set theory (music)|set theory]], defines it as the [[Octave #Octave equivalence|octave-equivalent]] distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or "ic" – in [[12edo]] – is the tritone (6). This may be criticized on two grounds: it is not a class in the vocabulary of mathematics, and it is less useful than the second definition. | '''Interval class''' is used in the following ways. First, common in academic [[Wikipedia: Set theory (music)|set theory]], defines it as the [[Octave #Octave equivalence|octave-equivalent]] distance between two pitch classes, measured by the shortest distance. Thus C to G may be the interval of 7, but its interval class is 5. The largest interval class or "ic" – in [[12edo]] – is the tritone (6). This may be criticized on two grounds: it is not a class in the vocabulary of mathematics, and it is less useful than the second definition. | ||
The second definition, used for example by [[Scala]], defines the interval class as the "generic interval" to which the specific intervals at a certain number of scale steps apart belong. | The second definition, used for example by [[Scala]], defines the interval class as the "generic interval" to which the specific intervals at a certain number of scale steps apart belong. The term '''''ordinal category''''' has been used for this second sense. | ||
== See also == | == See also == | ||