A septimal comma is a small musical interval in just intonation that contains the number seven in its prime factorization. There is more than one such...

are a septimal kleisma apart. Translated in this context, "comma" means "a hair" as in "off by just a hair"[citation needed]. The word "comma" came via...

about 62.96 cents wide. The septimal 1/3-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...

septimal in Wiktionary, the free dictionary. Septimal may refer to: Septimal chromatic semitone, the interval 21:20, about 84.47 cents Septimal comma...

cents (play).[citation needed] It is also called the small septimal comma and the starling comma after its use in starling temperament. Factored into primes...

tone and the septimal minor third. It is about 35.7 cents wide, which is narrower than a quarter-tone but wider than the septimal comma. It may also be...

cents. The septimal diesis (or slendro diesis) is an interval with the ratio of 49:48 play, which is the difference between the septimal whole tone and...

Pythagorean comma (531441:524288) on C In musical tuning, the Pythagorean comma (or ditonic comma), named after the ancient mathematician and philosopher...

A septimal tritone is a tritone (about one half of an octave) that involves the factor seven. There are two that are inverses. The lesser septimal tritone...

In music, the ratio 225/224 is called the septimal kleisma (play). It is a minute comma type interval of approximately 7.7 cents. Factoring it into primes...

between a minor third (6:5) and septimal minor third (7:6). Composer Ben Johnston, to accommodate the just septimal quarter tone, uses a small "7" ()...

ratio of 21/41, or 29.27 cents (Play), an interval close in size to the septimal comma. 41-ET can be seen as a tuning of the schismatic, magic and miracle...

21⁄53, or 22.6415 cents (Play), an interval sometimes called the Holdrian comma. 53-TET is a tuning of equal temperament in which the tempered perfect fifth...

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...

quarter-comma meantone. Huygens not only realized this, he went farther and noted that 31-ET provides an excellent approximation of septimal, or 7-limit...

In music, the septimal minor third, also called the subminor third (e.g., by Ellis) or septimal subminor third, is the musical interval exactly or approximately...

near to 2⁄9-comma meantone the A4 is near to the ratio 7:5 (582.51) and the d5 to 10:7 (617.49), which is what these intervals are in septimal meantone temperament...

Substance. p. 523. ISBN 0-918728-60-6. Monzo, Joe; Rousseau, Kami (2005). "Septimal-comma". TonalSoft.com. Encyclopedia of Microtonal Music Theory. Retrieved...

temper out the syntonic comma of 81/80, but instead exaggerates its size by mapping it to one step. In the 7-limit, the septimal minor seventh (7/4) can...

Septimal quarter tone Undecimal quarter tone Commas Pythagorean comma (23.5 cents) Syntonic comma (21.5 cents) Holdrian comma (22.6 cents) Septimal comma...

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

plus a major third. It is expressed by the ratio 81:80 (21.5 cents). A septimal comma is 64:63 (27.3 cents), and is the difference between the Pythagorean...

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 and...

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...

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...

The Mathematical Theory of Tone Systems, p.xxiii. ISBN 0-8247-4714-3. Septimal minor sixth. Jan Haluska (2003). The Mathematical Theory of Tone Systems...

Septimal quarter tone Undecimal quarter tone Commas Pythagorean comma (23.5 cents) Syntonic comma (21.5 cents) Holdrian comma (22.6 cents) Septimal comma...

7:4 interval in septimal meantone. There are several slightly adjusted meantone tunings very nearly equivalent to exact quarter comma meantone, which...

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...

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...