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For instance, the interval from C 4 to C 5 is a perfect octave, twelve semitones wide, and both the intervals from C ♯ 4 to C 5 and from C 4 to C ♭ 5 are diminished octaves, spanning eleven semitones. Being diminished, it is considered a dissonant interval. [3] The diminished octave is enharmonically equivalent to the major seventh.
Septimal, undecimal, tridecimal, and septendecimal mean, respectively, 7, 11, 13, and 17-limit intonation. Meantone refers to meantone temperament, where the whole tone is the mean of the major third. In general, a meantone is constructed in the same way as Pythagorean tuning, as a stack of fifths: the tone is reached after two fifths, the ...
The intervals of 5-limit just intonation (prime limit, not odd limit) are ratios involving only the powers of 2, 3, and 5.The fundamental intervals are the superparticular ratios 2/1 (the octave), 3/2 (the perfect fifth) and 5/4 (the major third).
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.
While octaves commonly refer to the perfect octave (P8), the interval of an octave in music theory encompasses chromatic alterations within the pitch class, meaning that G ♮ to G ♯ (13 semitones higher) is an Augmented octave (A8), and G ♮ to G ♭ (11 semitones higher) is a diminished octave (d8).
A diminished interval is an interval obtained from a minor interval or perfect interval by narrowing it by a chromatic semitone, meaning that the interval is narrowed by a semitone, but the staff positions are not changed (only an accidental is changed); the process may occasionally be referred to as diminution For example, a diminished sixth ...
Interval class Play ⓘ.. 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.
The beta chord may be created from a diminished seventh chord by adding a diminished octave. It may be created from a major chord by adding the sharpened root (solfege: in C, di is C ♯: C ♯, E, G, C ♮), [62] or from a diminished triad by adding the root's major 7th (called a diminished major 7th, or C# o Maj7.