Syntonic comma on C Just major third on C Quarter-comma meantone perfect fifth on C Problems playing these files? See media help. Quarter-comma meantone, or...

exactly the same as ⁠1/ 11 ⁠ syntonic comma meantone tuning (1.955 cents vs. 1.95512). Quarter-comma meantone, which tempers each of the twelve perfect...

Pythagorean tuning system, and another F♯ tuned using the D-based quarter-comma meantone tuning system. Intervals separated by the ratio 81:80 are considered...

system, widely used in the sixteenth and seventeenth centuries: the quarter-comma meantone temperament. More broadly, it is also used to refer to similar intervals...

or 38.71 cents (Play). 31 EDO is a very good approximation of quarter-comma meantone temperament. More generally, it is a regular diatonic tuning in...

apotome); they differ by the Pythagorean comma of ratio 531441:524288 or 23.5 cents. In quarter-comma meantone, seven of them are diatonic, and 117.1 cents...

19 equal temperament (extended ⁠ 1 / 3 ⁠ comma meantone), 31 equal temperament (extended quarter-comma meantone) and 53 equal temperament (extended Pythagorean...

size. In third-comma meantone, the diminished second is typically denoted as a greater diesis (see below). In quarter-comma meantone, since major thirds...

thirds. Quarter-comma meantone uses justly tuned major thirds (5:4), but flattens each of the fifths by a quarter of a syntonic comma, relative to their...

monochord labels start from III since just intonation is labelled I and quarter-comma meantone is labelled II. The temperament commonly known as "Werckmeister III"...

extended-quarter-comma meantone ... the 5:4 ratio [whose] extended-sixth-comma meantone corresponds to the 55 division ... extended-fifth-comma meantone [corresponds...

third. This major third is exactly the just (5:4) major third in quarter-comma meantone. This is the source of the name: the note exactly halfway between...

a meantone temperament, each fifth is narrowed ("tempered") by the same small amount. The most common of meantone temperaments is the quarter-comma meantone...

humorous reference to a wolf howling an off-pitch note. Non-extended quarter-comma meantone uses eleven fifths slightly narrower than the equally tempered fifth...

Pythagorean tuning, five-limit tuning, or meantone temperament tuning systems such as quarter-comma meantone. All the intervals with prefix sesqui- are...

fifths is only one quarter as strong as the beating effect on the thirds of Pythagorean tuning in the case of quarter-comma meantone, since a sequence...

fifths (thus quarter-comma meantone temperament, eighth-schisma temperament, etc.). In both eighth-schisma tuning and quarter-comma meantone the octave...

013\ 643\ 264\ \ldots ~\approx ~23.460\ 010{\hbox{ cents}}~.} In quarter-comma meantone, there will be a discrepancy between, for example, G♯ and A♭. If...

major second (play), with ratio 8/7, and in any meantone tuning in the vicinity of quarter-comma meantone, such as 31-equal temperament, it will come close...

578  ¢, used for conventional quarter comma meantone (which produces pure major thirds by letting fifths fall a quarter-comma flat). Hagerman & Sundberg...

MUSICAL SYMBOL DOUBLE FLAT U+1D133 𝄳 MUSICAL SYMBOL QUARTER TONE FLAT For example, in quarter-comma meantone a flat always lowers a note's pitch by 76.05 cents...

equal temperament, in order to produce better thirds. See quarter-comma meantone for a meantone temperament commonly used in the sixteenth and seventeenth...

in 12 equal temperament. However, in other temperaments, such as quarter-comma meantone, it is not the same as G♭. G♭ is a major third below B♭, whereas...

Christiaan Huygens and Adriaan Fokker and represents a rectification of quarter-comma meantone into an equal temperament. 31 EDO does not have as accurate a perfect...

archicembalo considered by Vicentino: The most important was the extended quarter-comma meantone temperament—which, given such a wide gamut of fifths, becomes almost...

equal temperament where 3 is tempered to 219⁄12 to favour 2, or in quarter-comma meantone where 3 is tempered to 24√5 to favor 2 and 5. In mathematical terminology...

this does not hold true in most tunings. In any tuning close to quarter-comma meantone it will be close to the 7:6 ratio of the septimal minor third. The...

nor even relatively recently disused tuning systems, such as the ¼ comma meantone temperament predominantly used up to the time of Bach, and the later...

He also discusses tuning, and the book is the first to describe quarter-comma meantone. Other topics covered by Aron include the use of the eight modes...

augmented second. Tunings of the meantone fifth in the neighborhood of quarter-comma meantone will give three septimal minor thirds among the twelve minor thirds...