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2014-12-09T21:41:40Z

wrong link

← Older revision		Revision as of 23:41, 9 December 2014
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	In [[music theory]] and [[musical tuning]] the '''Holdrian comma''', also called '''Holder's comma''', and sometimes the '''Arabian comma''',<ref name="Touma">[[Habib Hassan Touma]] (1996). ''The Music of the Arabs'', p.23. trans. Laurie Schwartz. Portland, Oregon: Amadeus Press. ISBN 0-~~931340~~-~~88-8.</ref> is a small [[interval (music)\|musical interval]] of approximately 22.6415 [[cent (music)\|cents]]~~,~~<ref name="Touma"/> equal to one step of [[53 equal temperament]], or <math>\sqrt[53]{2}</math> ({{Audio\|Holdrian comma on C.mid\|play}}). The name [[comma (music)\|comma]] is misleading~~, ~~since this interval is an irrational number~~ and ~~does not describe the compromise between intervals of any tuning system; it assumes this name because it is an approximation of~~ the ~~[[syntonic comma]] (21~~.~~51 cents)({{Audio\|Syntonic comma on C.mid\|play}}), which was widely used as a measurement of tuning in [[William Holder]]'s time.~~		Agricultural Consultant Goar from Baie-Saint-Paul, spends time with interests which includes bonsai trees, free coins fifa 14 hack and bringing food to the. Intends to give up work and take the family to numerous noteworthy heritage listed spots on the globe like Archaeological Ensemble of Mérida.<br><br>My web page :: [https://www.youtube.com/watch?v=HSoNAvTIeEc fifa 14 hack ios]

	'''Mercator's comma''' is a name often used for a closely related interval because of its association with [[Nicholas Mercator]]. One of these intervals was first described by Ching-Fang in 45 BCE.<ref name="Touma"/>

	~~== Mercator's comma~~ and the ~~Holdrian comma ==<!--[[Mercator's comma]] redirects here-->~~
	~~Mercator applied logarithms~~ to ~~determine that <math>\sqrt[55]{2}</math> (≈ 21.8182 cents) was nearly equivalent to a syntonic comma of ≈ 21.5063 cents (a feature of~~ the ~~prevalent sixth-comma [[meantone temperament]] tuning system~~ of ~~the time)~~. ~~He also considered that an "artificial comma" of~~ <~~math~~>~~\sqrt[53]{2}~~<~~/math~~> might be useful, because 31 octaves could be practically approximated by a cycle of 53 [[just fifth]]s. [[William Holder]], for whom the Holdrian comma is named, favored this latter unit because the intervals of 53 equal temperament are closer to [[just intonation]] than that of 55. Thus '''Mercator's comma''' and the Holdrian comma are two distinct but related intervals.

	~~== Arabian comma ==~~
	The name "Arabian comma" may be inaccurate; the comma has been employed mainly in Turkish music theory by [[Kemal Ilerici]], and by the Turkish composer [[Erol Sayan]]. The name of this comma is "Holder koması" in Turkish.

	~~For instance, the [[makam]] ''rast'' (similar to the Western [[major scale]]) may be considered in terms of Holdrian commas~~:
	~~c d e f g a b c'~~
	~~commas~~: ~~9 8 5 9 9 8 5~~

	~~while in contrast, the makam ''nihavend'' (similar to the Western~~ [~~[minor scale]]):~~
	~~c d e{{music\|b}} f g a{{music\|b}} b{{music\|b}} c'~~
	~~commas: 9 4 9 9 4 9 9~~
	~~has [[medium second]]s between d–e, e–f, g–a, a–b, and b–c', a medium second being somewhere in between 8 and 9 commas.<ref name="Touma"/>~~

	~~==References==~~
	~~{{reflist}}~~

	~~==Further reading==~~
	*Holder, William, ''A Treatise on the Natural Grounds, and Principles of Harmony'', facsimile of the 1694 edition, Broude Brothers, New York, 1967. (Original pp. 103–106.)

	~~==External links==~~
	*Monzo, Joe (2005). [http://www.~~tonalsoft~~.com/~~enc/m/mercator-comma.aspx "Mercator's Comma"], ''Tonalsoft''.~~

	~~{{Intervals\|state~~=~~expanded}}~~

	~~{{DEFAULTSORT:Holdrian Comma}}~~
	~~[[Category:Commas]~~]

128.227.123.202 at 17:42, 8 May 2013

2013-05-08T17:42:32Z

← Older revision		Revision as of 19:42, 8 May 2013
Line 1:		Line 1:
	~~On-line games can give you a universe of experience~~, ~~calmness~~ and ~~exhilaration~~. It'~~s possible to learn~~, ~~get~~ a ~~sound judgment~~ of ~~success or mainly enjoy beating down some bad-guy~~. ~~No matter form~~ of ~~video gaming you are into~~, ~~are often the helpful tips in certain post to give for yourself more fun whenever you and your family play your next electriconic game Website.~~<br><br>		In [[music theory]] and [[musical tuning]] the '''Holdrian comma''', also called '''Holder's comma''', and sometimes the '''Arabian comma''',<ref name="Touma">[[Habib Hassan Touma]] (1996). ''The Music of the Arabs'', p.23. trans. Laurie Schwartz. Portland, Oregon: Amadeus Press. ISBN 0-931340-88-8.</ref> is a small [[interval (music)\|musical interval]] of approximately 22.6415 [[cent (music)\|cents]],<ref name="Touma"/> equal to one step of [[53 equal temperament]], or <math>\sqrt[53]{2}</math> ({{Audio\|Holdrian comma on C.mid\|play}}). The name [[comma (music)\|comma]] is misleading, since this interval is an irrational number and does not describe the compromise between intervals of any tuning system; it assumes this name because it is an approximation of the [[syntonic comma]] (21.51 cents)({{Audio\|Syntonic comma on C.mid\|play}}), which was widely used as a measurement of tuning in [[William Holder]]'s time.

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			== Mercator's comma and the Holdrian comma ==<!--[[Mercator's comma]] redirects here-->
			Mercator applied logarithms to determine that <math>\sqrt[55]{2}</math> (≈ 21.8182 cents) was nearly equivalent to a syntonic comma of ≈ 21.5063 cents (a feature of the prevalent sixth-comma [[meantone temperament]] tuning system of the time). He also considered that an "artificial comma" of <math>\sqrt[53]{2}</math> might be useful, because 31 octaves could be practically approximated by a cycle of 53 [[just fifth]]s. [[William Holder]], for whom the Holdrian comma is named, favored this latter unit because the intervals of 53 equal temperament are closer to [[just intonation]] than that of 55. Thus '''Mercator's comma''' and the Holdrian comma are two distinct but related intervals.

			== Arabian comma ==
			The name "Arabian comma" may be inaccurate; the comma has been employed mainly in Turkish music theory by [[Kemal Ilerici]], and by the Turkish composer [[Erol Sayan]]. The name of this comma is "Holder koması" in Turkish.

			For instance, the [[makam]] ''rast'' (similar to the Western [[major scale]]) may be considered in terms of Holdrian commas:
			c d e f g a b c'
			commas: 9 8 5 9 9 8 5

			while in contrast, the makam ''nihavend'' (similar to the Western [[minor scale]]):
			c d e{{music\|b}} f g a{{music\|b}} b{{music\|b}} c'
			commas: 9 4 9 9 4 9 9
			has [[medium second]]s between d–e, e–f, g–a, a–b, and b–c', a medium second being somewhere in between 8 and 9 commas.<ref name="Touma"/>

			==References==
			{{reflist}}

			==Further reading==
			*Holder, William, ''A Treatise on the Natural Grounds, and Principles of Harmony'', facsimile of the 1694 edition, Broude Brothers, New York, 1967. (Original pp. 103–106.)

			==External links==
			*Monzo, Joe (2005). [http://www.tonalsoft.com/enc/m/mercator-comma.aspx "Mercator's Comma"], ''Tonalsoft''.

			{{Intervals\|state=expanded}}

			{{DEFAULTSORT:Holdrian Comma}}
			[[Category:Commas]]

en>Haeinous at 14:21, 8 August 2012

2012-08-08T14:21:07Z

New page

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