In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as '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.
set theory, an intervalclass (often abbreviated: ic), also known as unordered pitch-classinterval, interval distance, undirected interval, or "(even completely...
up interval in Wiktionary, the free dictionary. Interval may refer to: Interval (mathematics), a range of numbers Partially ordered set#Intervals, its...
(Johnson 2003, p. 26) A specific interval is the clockwise distance between pitch classes on the chromatic circle (intervalclass), in other words the number...
tritone is defined as a musical interval spanning three adjacent whole tones (six semitones). For instance, the interval from F up to the B above it (in...
In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so. In classical...
musical parts that sound either the same pitch or pitches separated by intervals of one or more octaves, usually at the same time. Rhythmic unison is another...
have the same name and are of the same pitch class. To emphasize that it is one of the perfect intervals (including unison, perfect fourth, and perfect...
In music, an interval cycle is a collection of pitch classes created from a sequence of the same intervalclass. In other words, a collection of pitches...
graph theory, an interval graph is an undirected graph formed from a set of intervals on the real line, with a vertex for each interval and an edge between...
A fourth is a musical interval encompassing four staff positions in the music notation of Western culture, and a perfect fourth (Play) is the fourth spanning...
In classical music, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third (Play)...
Interval scheduling is a class of problems in computer science, particularly in the area of algorithm design. The problems consider a set of tasks. Each...
In music theory, a neutral interval is an interval that is neither a major nor minor, but instead in between. For example, in equal temperament, a major...
Interval arithmetic (also known as interval mathematics; interval analysis or interval computation) is a mathematical technique used to mitigate rounding...
musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically. It is defined as the interval between...
In classical music from Western culture, an augmented second is an interval that, in equal temperament, is sonically equivalent to a minor third, spanning...
the note thirteen scale degrees from the root of a chord and also the interval between the root and the thirteenth. The thirteenth is most commonly major...
Western classical music, a minor sixth is a musical interval encompassing six staff positions (see Interval number for more details), and is one of two commonly...
Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions...
multiple sections or movements Interval cycle, a collection of pitch classes generated from a sequence of the same intervalclass Song cycle, individually complete...
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