55/54 - Revision history

BudjarnLambeth: Less detail about 432hz. We can include all that in a 432 Hz article if anyone is ever masochistic enough to make one.

2024-12-11T01:56:32Z

Less detail about 432hz. We can include all that in a 432 Hz article if anyone is ever masochistic enough to make one.

← Older revision		Revision as of 01:56, 11 December 2024
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	When treated as an interval in its own right, it acts as a sort of parachroma in much the same fashion as [[33/32]], from which it differs by a [[81/80\|syntonic comma]]. However, given that it's noticeably smaller in size than 33/32, one can also easily use it in melodies as either an [[Wikipedia:Appoggiatura\|appoggiatura]], an [[Wikipedia:Acciaccatura\|acciaccatura]], or a quick passing tone. Tempering out the lehmerisma ([[3025/3024]]) equates this interval with [[56/55]], splitting the [[28/27]] septimal chroma into two equal halves. Furthermore, when the [[385/384\|keenanisma]] is tempered out, 55/54 is equated with [[64/63]], and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.		When treated as an interval in its own right, it acts as a sort of parachroma in much the same fashion as [[33/32]], from which it differs by a [[81/80\|syntonic comma]]. However, given that it's noticeably smaller in size than 33/32, one can also easily use it in melodies as either an [[Wikipedia:Appoggiatura\|appoggiatura]], an [[Wikipedia:Acciaccatura\|acciaccatura]], or a quick passing tone. Tempering out the lehmerisma ([[3025/3024]]) equates this interval with [[56/55]], splitting the [[28/27]] septimal chroma into two equal halves. Furthermore, when the [[385/384\|keenanisma]] is tempered out, 55/54 is equated with [[64/63]], and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.

	It is also the difference between the universally accepted 440 Hz pitch standard and the esoteric ~~and non-scientific, but rather popular proposed~~ 432 Hz pitch standard.		It is also the difference between the universally accepted 440 Hz pitch standard and the esoteric 432 Hz pitch standard.

	== Sagittal notation ==		== Sagittal notation ==

BudjarnLambeth at 07:47, 3 November 2024

2024-11-03T07:47:59Z

← Older revision		Revision as of 07:47, 3 November 2024
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	== Notes ==		== Notes ==

			[[Category:Commas named for their regular temperament properties]]

FloraC: "Telepathma" takes priority. Who knows where the other two names come from.

2024-10-22T15:47:12Z

"Telepathma" takes priority. Who knows where the other two names come from.

← Older revision		Revision as of 15:47, 22 October 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = undecimal diasecundal comma, eleventyfive comma~~, telepathma~~		\| Name = telepathma, undecimal diasecundal comma, eleventyfive comma
	\| Color name = 1oy1, loyo 1sn, Loyo comma		\| Color name = 1oy1, loyo 1sn, Loyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	'''55/54''', the '''~~undecimal diasecundal comma~~''', otherwise known as the '''~~eleventyfive~~ comma''' or the '''~~telepathma~~''', is an [[11-limit]] [[superparticular]] interval that marks the difference between the classic minor third ([[6/5]]) and the undecimal neutral third ([[11/9]]), between the classic major third ([[5/4]]) and the rastmic neutral third ([[27/22]]), as well as the difference between the keenanismic supermajor sixth ([[55/32]]) and the Pythagorean major sixth ([[27/16]]). This means that 6/5 and 11/9 are equated – as are 55/32 and 27/16 – when this comma is tempered out. [[EDO]]s that temper out this interval include {{EDOs\| 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66}}.		'''55/54''', the '''telepathma''', otherwise known as the '''undecimal diasecundal comma''' or the '''eleventyfive comma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between the classic minor third ([[6/5]]) and the undecimal neutral third ([[11/9]]), between the classic major third ([[5/4]]) and the rastmic neutral third ([[27/22]]), as well as the difference between the keenanismic supermajor sixth ([[55/32]]) and the Pythagorean major sixth ([[27/16]]). This means that 6/5 and 11/9 are equated – as are 55/32 and 27/16 – when this comma is tempered out. [[EDO]]s that temper out this interval include {{EDOs\| 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66}}.

	When treated as an interval in its own right, it acts as a sort of parachroma in much the same fashion as [[33/32]], from which it differs by a [[81/80\|syntonic comma]]. However, given that it's noticeably smaller in size than 33/32, one can also easily use it in melodies as either an [[Wikipedia:Appoggiatura\|appoggiatura]], an [[Wikipedia:Acciaccatura\|acciaccatura]], or a quick passing tone. Tempering out the lehmerisma ([[3025/3024]]) equates this interval with [[56/55]], splitting the [[28/27]] septimal chroma into two equal halves. Furthermore, when the [[385/384\|keenanisma]] is tempered out, 55/54 is equated with [[64/63]], and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.		When treated as an interval in its own right, it acts as a sort of parachroma in much the same fashion as [[33/32]], from which it differs by a [[81/80\|syntonic comma]]. However, given that it's noticeably smaller in size than 33/32, one can also easily use it in melodies as either an [[Wikipedia:Appoggiatura\|appoggiatura]], an [[Wikipedia:Acciaccatura\|acciaccatura]], or a quick passing tone. Tempering out the lehmerisma ([[3025/3024]]) equates this interval with [[56/55]], splitting the [[28/27]] septimal chroma into two equal halves. Furthermore, when the [[385/384\|keenanisma]] is tempered out, 55/54 is equated with [[64/63]], and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| \|\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest interval it notates is 55/1 = 5×11 (equiv. 55/32), as for example in C-A{{nbhsp}}{{sagittal \| \|\ }}. The downward version is called '''1/55C''' or '''55C down''' and is represented by {{sagittal\| !/ }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| \|\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest interval it notates is 55/1 = 5×11 (equiv. 55/32), as for example in C-A{{nbhsp}}{{sagittal \| \|\ }}. The downward version is called '''1/55C''' or '''55C down''' and is represented by {{sagittal\| !/ }}.

			== Etymology ==
			The telepathma was presumably named by [[Gene Ward Smith]] in 2014 since it seems this wiki was the place where it made its first appearance<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13398 Small comma (Revision as of 21:55, 6 August 2014 by Wikispaces>genewardsmith)]. </ref>. It was named after the [[telepathy]] temperament, which tempers it out.

	== See also ==		== See also ==
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

			== Notes ==

Dave Keenan: /* Sagittal notation */ Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Gave the truly-simplest (2,3-free) interval in addition to the octave-reduced interval. Replaced hair-space with nbhsp template call.

2024-10-10T07:13:38Z

Sagittal notation: Changed "simplest ratio" to "simplest interval". Changed colons to slashes and dash. Gave the truly-simplest (2,3-free) interval in addition to the octave-reduced interval. Replaced hair-space with nbhsp template call.

← Older revision		Revision as of 07:13, 10 October 2024
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| \|\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest ~~ratio~~ it notates is 32~~:55~~, as for example in C:A~~ ~~{{sagittal \| \|\ }}. The downward version is called '''1/55C''' or '''55C down''' and is represented by {{sagittal\| !/ }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| \|\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest interval it notates is 55/1 = 5×11 (equiv. 55/32), as for example in C-A{{nbhsp}}{{sagittal \| \|\ }}. The downward version is called '''1/55C''' or '''55C down''' and is represented by {{sagittal\| !/ }}.

	== See also ==		== See also ==
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Dave Keenan: /* Sagittal notation */ Added downward version

2024-10-09T13:50:43Z

Sagittal notation: Added downward version

← Older revision		Revision as of 13:50, 9 October 2024
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	== Sagittal notation ==		== Sagittal notation ==
	In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| \|\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest ratio it notates is 32:55, as for example in C:A{{sagittal \| \|\ }}.		In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| \|\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest ratio it notates is 32:55, as for example in C:A {{sagittal \| \|\ }}. The downward version is called '''1/55C''' or '''55C down''' and is represented by {{sagittal\| !/ }}.

	== See also ==		== See also ==
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Cmloegcmluin: add section for this comma's use in Sagittal notation

2024-10-09T05:17:44Z

add section for this comma's use in Sagittal notation

← Older revision		Revision as of 05:17, 9 October 2024
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	It is also the difference between the universally accepted 440 Hz pitch standard and the esoteric and non-scientific, but rather popular proposed 432 Hz pitch standard.		It is also the difference between the universally accepted 440 Hz pitch standard and the esoteric and non-scientific, but rather popular proposed 432 Hz pitch standard.

			== Sagittal notation ==
			In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal \| \|\ }} and is called the '''55 comma''', or '''55C''' for short, because the simplest ratio it notates is 32:55, as for example in C:A{{sagittal \| \|\ }}.

	== See also ==		== See also ==
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

TallKite at 07:11, 14 January 2023

2023-01-14T07:11:46Z

← Older revision		Revision as of 07:11, 14 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = undecimal diasecundal comma, eleventyfive comma, telepathma		\| Name = undecimal diasecundal comma, eleventyfive comma, telepathma
	\| Color name = 1oy1, loyo 1sn		\| Color name = 1oy1, loyo 1sn, Loyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:20:58Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:20, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 55/54~~		\| Name = undecimal diasecundal comma, eleventyfive comma, telepathma
	~~\| Monzo = -1 -3 1 0 1~~
	~~\| Cents = 31.76665~~
	\| Name = undecimal diasecundal comma, ~~<br>~~ eleventyfive comma, ~~<br>~~ telepathma
	\| Color name = 1oy1, loyo 1sn		\| Color name = 1oy1, loyo 1sn
	\| ~~FJS name = P1<sup>55</sup>~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}
	'''55/54''', the '''undecimal diasecundal comma''', otherwise known as the '''eleventyfive comma''' or the '''telepathma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between the classic minor third ([[6/5]]) and the undecimal neutral third ([[11/9]]), between the classic major third ([[5/4]]) and the rastmic neutral third ([[27/22]]), as well as the difference between the keenanismic supermajor sixth ([[55/32]]) and the Pythagorean major sixth ([[27/16]]). This means that 6/5 and 11/9 are equated – as are 55/32 and 27/16 – when this comma is tempered out. [[EDO]]s that temper out this interval include {{EDOs\| 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66}}.		'''55/54''', the '''undecimal diasecundal comma''', otherwise known as the '''eleventyfive comma''' or the '''telepathma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between the classic minor third ([[6/5]]) and the undecimal neutral third ([[11/9]]), between the classic major third ([[5/4]]) and the rastmic neutral third ([[27/22]]), as well as the difference between the keenanismic supermajor sixth ([[55/32]]) and the Pythagorean major sixth ([[27/16]]). This means that 6/5 and 11/9 are equated – as are 55/32 and 27/16 – when this comma is tempered out. [[EDO]]s that temper out this interval include {{EDOs\| 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66}}.
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:11-limit]]~~
	~~[[Category:Small commas]]~~
	~~[[Category:Medium commas]]~~
	~~[[Category:Superparticular]]~~

Fredg999: Misc. edits, categories

2022-03-23T15:22:50Z

Misc. edits, categories

← Older revision		Revision as of 15:22, 23 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 55/54		\| Ratio = 55/54
	\| Monzo = -1 -3 1 0 1		\| Monzo = -1 -3 1 0 1
	\| Cents = 31.76665		\| Cents = 31.76665
	\| Name = undecimal diasecundal comma, <br> eleventyfive comma, <br> telepathma		\| Name = undecimal diasecundal comma, <br> eleventyfive comma, <br> telepathma
	\| Color name = 1oy1 = loyo 1sn		\| Color name = 1oy1, loyo 1sn
	\| FJS name = P1<sup>55</sup>		\| FJS name = P1<sup>55</sup>
	\| Sound =		\| Sound =
	}}		}}
			'''55/54''', the '''undecimal diasecundal comma''', otherwise known as the '''eleventyfive comma''' or the '''telepathma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between the classic minor third ([[6/5]]) and the undecimal neutral third ([[11/9]]), between the classic major third ([[5/4]]) and the rastmic neutral third ([[27/22]]), as well as the difference between the keenanismic supermajor sixth ([[55/32]]) and the Pythagorean major sixth ([[27/16]]). This means that 6/5 and 11/9 are equated – as are 55/32 and 27/16 – when this comma is tempered out. [[EDO]]s that temper out this interval include {{EDOs\| 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66}}.

	'''55/54''', the '''undecimal diasecundal comma''', otherwise known as the '''eleventyfive comma''' or the '''telepathma''', is an [[11-limit]] [[superparticular]] interval that marks the difference between the [[6/5\|classic minor third (6/5)]] and the [[11/9\|undecimal neutral third (11/9)]], between the [[5/4\|classic major third (5/4)]] and the [[27/22\|rastmic neutral third (27/22)]], as well as the difference between the [[55/32\|keenanismic supermajor sixth (55/32)]] and the [[27/16\|Pythagorean major sixth (27/16)]]. This means that 6/5 and 11/9 are equated – as are 55/32 and 27/16 – when this comma is tempered out. [[EDO]]s that temper out this interval include {{EDOs\| 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66}}.		When treated as an interval in its own right, it acts as a sort of parachroma in much the same fashion as [[33/32]], from which it differs by a [[81/80\|syntonic comma]]. However, given that it's noticeably smaller in size than 33/32, one can also easily use it in melodies as either an [[Wikipedia:Appoggiatura\|appoggiatura]], an [[Wikipedia:Acciaccatura\|acciaccatura]], or a quick passing tone. Tempering out the lehmerisma ([[3025/3024]]) equates this interval with [[56/55]], splitting the [[28/27]] septimal chroma into two equal halves. Furthermore, when the [[385/384\|keenanisma]] is tempered out, 55/54 is equated with [[64/63]], and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.

	When treated as an interval in its own right, it acts as a sort of parachroma in much the same fashion as [[33/32]], from which it differs by a [[81/80\|syntonic comma]]. However, given that it's noticeably smaller in size than 33/32, one can also easily use it in melodies as either an [[Wikipedia:Appoggiatura\|~~appoggitura~~]], an [[Wikipedia:Acciaccatura\|acciaccatura]], or a quick passing tone. Tempering out the [[3025/3024~~\|lehmerisma~~]] equates this interval with [[56/55]], splitting the [[28/27]] septimal chroma into two equal halves. Furthermore, when the [[385/384\|keenanisma]] is tempered out, 55/54 is equated with [[64/63]], and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.

	It is also the difference between the universally accepted 440 Hz pitch standard and the esoteric and non-scientific, but rather popular proposed 432 Hz pitch standard.		It is also the difference between the universally accepted 440 Hz pitch standard and the esoteric and non-scientific, but rather popular proposed 432 Hz pitch standard.
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	[[Category:11-limit]]		[[Category:11-limit]]
	~~[[Category:Interval ratio]]~~
	[[Category:Small commas]]		[[Category:Small commas]]
	[[Category:Medium commas]]		[[Category:Medium commas]]
	[[Category:Superparticular]]		[[Category:Superparticular]]

Fredg999 category edits: Moving from Category:Small comma to Category:Small commas using Cat-a-lot

2022-03-20T21:59:57Z

Moving from Category:Small comma to Category:Small commas using Cat-a-lot

← Older revision		Revision as of 21:59, 20 March 2022
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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Interval ratio]]		[[Category:Interval ratio]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]
	[[Category:Medium commas]]		[[Category:Medium commas]]
	[[Category:Superparticular]]		[[Category:Superparticular]]