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Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...
For example, for every generic interval of a second there are only two possible specific intervals: 1 semitone (a minor second) or 2 semitones (a major second). In diatonic set theory a generic interval is the number of scale steps between notes of a collection or scale. The largest generic interval is one less than the number of scale members ...
Main intervals from C. In Western music theory, an interval is named according to its number (also called diatonic number, interval size [6] or generic interval [7]) and quality. For instance, major third (or M3) is an interval name, in which the term major (M) describes the quality of the interval, and third (3) indicates its number.
The interval between pitch-classes may be measured with ordered and unordered pitch-class intervals. The ordered one, also called directed interval, may be considered the measure upwards, which, since we are dealing with pitch classes, depends on whichever pitch is chosen as 0. Thus, the ordered pitch-class interval, i x, y , may be defined as:
A major interval is one semitone larger than a minor interval. The words perfect, diminished and augmented are also used to describe the quality of an interval.Only the intervals of a second, third, sixth, and seventh (and the compound intervals based on them) may be major or minor (or, rarely, diminished or augmented).
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List of musical intervals may refer to: Interval (music)#Main intervals as abstract relations between notes in western music theory. List of pitch intervals as frequency ratios in intonation and tuning of musical instruments and performances.
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