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In music theory, an interval is a difference in pitch between two sounds. [1] An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord.
In the second edition of The New Grove Dictionary of Music and Musicians, Paul Griffiths, Mark Lindley, and Ioannis Zannos define "microtone" as a musical rather than an acoustical entity: "any musical interval or difference of pitch distinctly smaller than a semitone", including "the tiny enharmonic melodic intervals of ancient Greece, the ...
Interval (mathematics), a range of numbers Partially ordered set#Intervals, its generalization from numbers to arbitrary partially ordered sets; A statistical level of measurement; Interval estimate; Interval (graph theory) Space-time interval, the distance between two points in 4-space
The above definitions spell out the interval of each note above the root. Since triads are constructed of stacked thirds, they can be alternatively defined as follows: major triads contain a major third with a minor third stacked above it, e.g., in the major triad C–E–G (C major), the interval C–E is major third and E–G is a minor third.
On a guitar string, it is the interval separated by two frets. In moveable-do solfège, it is the interval between do and re. It is considered a melodic step, as opposed to larger intervals called skips. Intervals composed of two semitones, such as the major second and the diminished third, are also called tones, whole tones, or whole steps.
Intermission screen frame during a 1912 film. Used in motion picture theaters as announcement. An intermission, also known as an interval in British and Indian English, is a recess between parts of a performance or production, such as for a theatrical play, opera, concert, or film screening.
A musical passage notated as flats. The same passage notated as sharps, requiring fewer canceling natural signs. Sets of notes that involve pitch relationships — scales, key signatures, or intervals, [1] for example — can also be referred to as enharmonic (e.g., the keys of C ♯ major and D ♭ major contain identical pitches and are therefore enharmonic).
A degenerate interval is any set consisting of a single real number (i.e., an interval of the form [a, a]). [6] Some authors include the empty set in this definition. A real interval that is neither empty nor degenerate is said to be proper, and has infinitely many elements.