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Encyclopedia > Diminished second

In music, the interval of a diminished second is an interval of a minor second, or diatonic semitone, diminished by a chromatic semitone. It is therefore the difference between the diatonic and chromatic semitones, which makes it a highly variable quantity between one meantone tuning and the next. In equal temperament, in fact, it is identical to the unison, because both semitones have the same size. In 19 equal temperament, on the other hand, it is identical to the chromatic semitone and is a respectible 63 cents wide. More typical meantone tunings fall between these extremes, giving it an intermediate size. A minor second is the smallest of three commonly occuring musical intervals that span two diatonic scale degrees; the others being the major second and the augmented second, which are larger by one and two semitones respectively. ... In music, a chromatic semitone is the amount by which any note is raised by the addition of a sharp, or lowered by the addition of a flat. ... Meantone temperament is a system of musical tuning. ... An equal temperament is a musical temperament, or system of tuning, in which an interval, usually the octave, is divided into a series of equal steps (equal frequency ratios). ... In music, 19 equal temperament, called 19-tet, 19-edo, or 19-et, is the scale derived by dividing the octave into 19 equally large steps. ... The cent is a logarithmic unit of measure used for musical intervals. ...


Three major thirds in succession plus a diminished second make up an octave, and therefore the diminished second is sometimes considered to be a diesis, which in just intonation is a ratio of 128/125. In 1/4 comma meantone the diminished second has exactly this value, which is 41 cents, and this may be considered a typical size for it. A major third is the larger of two commonly occuring musical intervals that span three diatonic scale degrees. ... In music, an octave (sometimes abbreviated 8ve or 8va) is the interval between one musical note and another with half or double the frequency. ... A diesis is a musical interval. ... In music, just intonation, also called rational intonation, is any musical tuning in which the frequencies of notes are related by whole number ratios; that is, by positive rational numbers. ...


The diminished second is significant in relation to musical notation, since enharmonic pairs of intervals, in the sense of intervals which are identical in equal temperament, differ by a diminished second. Hence for example G♯ is less than A♭ by a diminished second interval, however large or small that may happen to be. Hand-written musical notation by J.S. Bach: beginning of the Prelude from the Suite for Lute in G minor BWV 995 (transcription of Cello Suite No. ... In music, an enharmonic is a note which is the equivalent of some other note, but spelled differently. ...


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