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...
4 KB (480 words) - 13:36, 20 August 2021
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...
30 KB (2,322 words) - 06:30, 14 February 2024
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...
3 KB (377 words) - 20:48, 26 October 2018
septimal in Wiktionary, the free dictionary. Septimal may refer to: Septimal chromatic semitone, the interval 21:20, about 84.47 cents Septimal comma...
1 KB (235 words) - 07:07, 6 October 2022
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...
1 KB (204 words) - 07:24, 9 February 2022
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...
2 KB (205 words) - 03:04, 11 December 2020
Diesis (category Commas (music))
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...
9 KB (912 words) - 02:35, 19 March 2024
Pythagorean comma (531441:524288) on C In musical tuning, the Pythagorean comma (or ditonic comma), named after the ancient mathematician and philosopher...
14 KB (1,276 words) - 12:53, 1 May 2024
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...
3 KB (346 words) - 00:17, 15 October 2023
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...
1 KB (115 words) - 17:58, 13 December 2021
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" ()...
33 KB (2,552 words) - 05:38, 17 August 2024
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...
18 KB (901 words) - 12:39, 21 August 2024
53 equal temperament (redirect from Holdrian comma)
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...
34 KB (2,855 words) - 12:15, 19 August 2024
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...
17 KB (2,165 words) - 13:39, 29 July 2023
31 equal temperament (redirect from Würschmidt's comma)
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...
36 KB (923 words) - 18:36, 28 July 2024
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...
7 KB (888 words) - 15:09, 19 April 2024
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...
44 KB (5,228 words) - 15:12, 15 July 2024
Schisma (category Commas (music))
Substance. p. 523. ISBN 0-918728-60-6. Monzo, Joe; Rousseau, Kami (2005). "Septimal-comma". TonalSoft.com. Encyclopedia of Microtonal Music Theory. Retrieved...
4 KB (479 words) - 06:50, 8 February 2024
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...
14 KB (1,147 words) - 18:19, 24 June 2024
Septimal quarter tone Undecimal quarter tone Commas Pythagorean comma (23.5 cents) Syntonic comma (21.5 cents) Holdrian comma (22.6 cents) Septimal comma...
16 KB (1,750 words) - 19:16, 27 August 2024
Wolf interval (section Quarter comma meantone)
system, widely used in the sixteenth and seventeenth centuries: the quarter-comma meantone temperament. More broadly, it is also used to refer to similar...
24 KB (3,113 words) - 17:54, 25 June 2024
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...
78 KB (8,737 words) - 03:03, 8 August 2024
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...
12 KB (1,324 words) - 14:34, 27 August 2024
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...
3 KB (314 words) - 03:11, 24 July 2021
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...
5 KB (682 words) - 19:56, 27 July 2024
Minor sixth (redirect from Septimal minor sixth)
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...
6 KB (633 words) - 19:25, 29 July 2024
Septimal quarter tone Undecimal quarter tone Commas Pythagorean comma (23.5 cents) Syntonic comma (21.5 cents) Holdrian comma (22.6 cents) Septimal comma...
20 KB (1,728 words) - 07:43, 12 May 2024
7:4 interval in septimal meantone. There are several slightly adjusted meantone tunings very nearly equivalent to exact quarter comma meantone, which...
7 KB (742 words) - 05:21, 17 March 2024
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...
7 KB (755 words) - 01:35, 14 February 2024
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...
50 KB (5,545 words) - 19:24, 17 August 2024