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The tuning produced following Stråhle's instructions is a rational temperament with a range of fifths from 696 to 704 cents, which is from about one cent flatter than a meantone fifth to two cents sharp of just 3:2; the range of major thirds is from 396 cents to 404 cents, or ten cents sharp of just 5/4 to three cents flat of Pythagorean 81/64.
The earliest known source for the tuning is the publication in 1753 of Versuch über die wahre Art das Clavier zu spielen by Carl Philipp Emanuel Bach.This work describes how to tune the fifths slightly different from purity, accompanied by an aural control of major and minor thirds, as well as full chords, so that all twenty-four keys sound clean and crisp, even to the highly trained ear.
For 12 tone equally-tempered tuning, the fifths have to be tempered by considerably less than a 1 / 4 comma (very close to a 1 / 11 syntonic comma, or a 1 / 12 Pythagorean comma), since they must form a perfect cycle, with no gap at the end, whereas 1 / 4 comma meantone tuning, as mentioned above, has a residual ...
This tuning also matches standard vihuela tuning and is often employed in classical guitar transcriptions of music written for those instruments, such as, for instance, "La Canción Del Emperador" and "Diferencias Sobre Guardame Las Vacas" by Renaissance composer Luis de Narváez, or music inspired by this style, such as "Pavanna" and "Bicycle ...
The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. (3:2) 2 / 2 , the mean of the major third (3:2) 4 / 4 , and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...
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Surprisingly, although this tuning system was designed to produce purely consonant major thirds, only eight of the intervals that are thirds in 12 TET are purely just (5:4 or about 386.3 cents) in the truncated quarter comma shown on the table: The actual quarter-comma notes needed to start or end the interval of a third are missing from among ...
New standard tuning (NST) is an alternative tuning for the guitar that approximates all-fifths tuning. The guitar's strings are assigned the notes C2-G2-D3-A3-E4-G4 (from lowest to highest); the five lowest open strings are each tuned to an interval of a perfect fifth {(C,G),(G,D),(D,A),(A,E)}; the two highest strings are a minor third apart (E,G).