A septimal quarter tone (in music) is an interval with the ratio of 36:35, which is the difference between the septimal minor third and the Just minor third, or about 48.77 cents wide. The name derives from the interval being the 7-limit approximation of a quarter tone. The septimal quarter tone can be viewed either as a musical interval in its own right, or as a comma; if it is tempered out in a given tuning system, the distinction between the two different types of minor thirds is lost. The septimal quarter tone may be derived from the harmonic series as the interval between the thirty-fifth and thirty-sixth harmonics.
Composer Ben Johnston uses a small seven ("") as an accidental to indicate a note is lowered by 36/35 (≈49 cents), or an upside-down seven ("") to indicate a note is raised by the same amount.[1][2] The Maneri-Sims notation system designed for 72-et uses the accidentals and for a quarter tone (36:35 or 48.77 cents) up and down.
The septimal quarter tone is tempered out by twelve-tone equal temperament, but not in any of 19-TET, 22-TET, 24-TET, or 31-TET. 22-TET and 24-TET offer a very close match to the septimal quarter tone.
The septimal quarter tone is the difference between the 9:5 just minor seventh and the harmonic seventh.
^Douglas Keislar; Easley Blackwood Jr.; John Eaton; Lou Harrison; Ben Johnston; Joel Mandelbaum; William Schottstaedt. p. 193. "Six American Composers on Nonstandard Tunnings", Perspectives of New Music, vol. 29, no. 1. (Winter, 1991), pp. 176–211.
^"Ben Johnston's Extended Just Intonation – A Guide for Interpreters", John Fonville, p. 113, Perspectives of New Music, vol. 29, no. 2 (Summer, 1991), pp. 106–137.
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Septimalquartertone on C Just minor third on C Problems playing these files? See media help. A septimalquartertone (in music) is an interval with the...
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third of 6/5. In 24-tone equal temperament five quartertones approximate the septimal minor third at 250 cents (Play). A septimal minor third is almost...
In music, the septimal whole tone, septimal major second, supermajor second, or septimal supermajor second play is the musical interval exactly or approximately...
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major third (5:4) by the septimalquartertone (36:35) (play). In 24-TET the septimal major third is approximated by 9 quartertones, or 450 cents (play)...
of the septimal comma and the syntonic comma is 36/35, known as the septimal diesis. Its size is 48.8 cents, making it practically a quartertone. The septimal...
plus a 10:9 major second. The difference between these two is the septimal sixth tone (50:49, 34.98 cents) Play. 12 equal temperament and 22 equal temperament...
of the perfect fifth, enabling the instrument to play in all keys. In 12-tone equal temperament, the frequencies of the tempered perfect fifth are in the...
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horn part three times. Other pitch ratios are given related names, the septimal minor third with ratio 7:6 and the tridecimal minor third with ratio 13:11...
This interval is somewhat narrower (about 48.77 cents flatter, a septimalquartertone) and is "sweeter in quality" than an "ordinary" minor seventh, which...
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as a just minor seventh. 35:18, or 1151.23 cents, is the ratio of the septimal semi-diminished octave. The 15:8 just major seventh occurs arises in the...
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the terms ditone and semiditone are specific for Pythagorean tuning, while tone and tritone are used generically for all tuning systems. Despite its name...
major third with the ratio 81:64 (about 1.2656) or 408 cents (play). The septimal major third is 9:7 (435 cents), the undecimal major third is 14:11 (418...
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harmonic seventh (7:4). There is also a smaller septimal chromatic semitone of 21:20 (play) between a septimal minor seventh and a fifth (21:8) and an octave...
fourth (Play) is the fourth spanning five semitones (half steps, or half tones). For example, the ascending interval from C to the next F is a perfect...
prime, or perfect prime) may refer to the (pseudo-)interval formed by a tone and its duplication (in German, Unisono, Einklang, or Prime), for example...