In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or interval mod 6 (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch classes. For example, the interval class between pitch classes 4 and 9 is 5 because 9 − 4 = 5 is less than 4 − 9 = −5 ≡ 7 (mod 12). See modular arithmetic for more on modulo 12. The largest interval class is 6 since any greater interval n may be reduced to 12 − n.
Read more about Interval Class: Use of Interval Classes, Notation of Interval Classes, Table of Interval Class Equivalencies
Famous quotes containing the words interval and/or class:
“The yearning for an afterlife is the opposite of selfish: it is love and praise for the world that we are privileged, in this complex interval of light, to witness and experience.”
—John Updike (b. 1932)
“History is full, down to this day, of the imbecility of kings and governors. They are a class of persons much to be pitied, for they know not what they should do.”
—Ralph Waldo Emerson (1803–1882)