Syntonic comma (81:80) on C In music theory, the syntonic comma, also known as the chromatic diesis, the Didymean comma, the Ptolemaic comma, or the diatonic...

comma; the syntonic comma, "the difference between a just major 3rd and four just perfect 5ths less two octaves", and the Pythagorean comma, "the difference...

C 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...

the case of quarter-comma meantone, where the major third is made narrower by a syntonic comma, the whole tone is made half a comma narrower than the major...

called a comma, usually prefixed by the name of the tuning system that generates it, such as a syntonic comma (21.5 ¢), or Pythagorean comma (23.5 ¢)...

each fifth by only ⁠1/ 53 ⁠ of that comma ( ≈ 0.0682 cent ≈ ⁠1/ 315 ⁠ syntonic comma ≈ ⁠1/ 344 ⁠ pythagorean comma). Thus, 53 tone equal temperament is...

limma, or major chroma, e.g. between C and an accute C♯ (C♯ raised by a syntonic comma) (1:1 and 135:128): S 2 = 25 24 × 81 80 = 135 128 ≈ 92.2   cents {\displaystyle...

(also spelled skhisma) is the interval between the syntonic comma (81:80) and the Pythagorean comma ( 531 441 : 524 288 ), which is slightly larger. It...

based on the Pythagorean comma. Holdrian comma Schisma not to be confused with the diatonic comma, better known as syntonic comma, equal to the frequency...

It is expressed by the frequency ratio 531441:524288 (23.5 cents). A syntonic comma is the difference between four justly tuned perfect fifths and two octaves...

(equal to three descending just perfect fifths, octave adjusted), a syntonic comma narrower than a justly tuned (6:5) minor third. As a consequence, we...

Benedetti composed a piece of music to illustrate syntonic comma drift. See Syntonic comma § Comma pump for more. Going around the circle of fifths with...

ratio 81/64. The ditone differs from the just major third (5/4) by the syntonic comma (81/80). Likewise, the difference between the tone and the perfect fourth...

wide (that is, tempered by about ⁠1/11⁠ of a syntonic comma, or precisely ⁠1/12⁠ of a Pythagorean comma) then the tuning is identical to the now-standard...

cents) by a syntonic comma (81/80, 21.51 cents). Because it is a comma wider than a "perfect" major third of 5:4, it is called a "comma-redundant" interval...

called minor tones or lesser tones. Their size differs by exactly one syntonic comma (81:80, or about 21.5 cents). Some equal temperaments, such as 15-ET...

major third (81:64) by a difference of 81:80, called the syntonic comma. The septimal comma, the ratio of 64:63, is a 7 limit interval which is the distance...

meantone temperaments is the quarter-comma meantone, in which each fifth is tempered by 1⁄4 of the syntonic comma, so that after four steps the major third...

comma meantone, Italian 17th-century style. Stanford University, Memorial Church (Palo Alto, CA). C. B. Fisk Inc., Opus 85, 1985. Modified 1/5 comma meantone...

of the music of Greek antiquity. The syntonic comma of ⁠ 81 / 80 ⁠ ≅ 21.506 cents is sometimes called the comma of Didymus after him. Among his works...

that interval a "diminished comma" or comma minor. A diaschisma is the difference between a schisma and a syntonic comma, as well as the difference between...

treated as a unison. The interval 81:80, called the syntonic comma or comma of Didymus, is the key comma of meantone temperament. In equal temperament, the...

a just major third by an amount known as syntonic comma, which musicians of the time found annoying. A comma (in musical parlance) is the distance between...

Pythagorean third is sharper than the just third by 21.51 cents (a syntonic comma play). C — G — D — A+ — E+ Ellis's "skhismic temperament" instead uses...

and 27⁄20, and many other pairs are interchangeable, as 81⁄80 (the syntonic comma) is tempered out.[clarification needed] Just intonation tuning can be...

Just perfect fifth on D. The perfect fifth above D (A+, 27/16) is a syntonic comma (81/80 or 21.5 cents) higher than the just major sixth above middle...

that a chain of its four fifths is equivalent to its major third (the syntonic comma 81:80 is tempered out), which also means that it contains a "meantone"...

is higher than the first by a syntonic comma of ⁠ 81 / 80 ⁠. This is the infamous "comma pump". Each time around the comma pump, the pitch continues to...

tuning's 3rd, 6th, and 7th degrees (in C, the notes E, A, and B) by the syntonic comma, 81:80. This scale may also be considered as derived from the just major...

just by ⁠1/4⁠ of a syntonic comma (about 5 cents, Play), and the major third F♯-A♯ (≈ B♭) wider than just by a full syntonic comma (about 22 cents, Play)...