28561/28560 - Revision history

Lériendil: Text replacement - "[[Square superparticular|S" to "[[S-expression|S"

2025-05-21T15:54:47Z

Text replacement - "[[Square superparticular|S" to "[[S-expression|S"

← Older revision		Revision as of 15:54, 21 May 2025
Line 5:		Line 5:
	\| Color name = suquadtho-arugu 1sn		\| Color name = suquadtho-arugu 1sn
	}}		}}
	'''28561/28560''' is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}. It is a superparticular with a fourth power as its numerator, in this case 13<sup>4</sup> = 169<sup>2</sup> so that this comma is expressible as [[~~Square superparticular~~\|S]]169 and as the difference between [[169/168]] and [[170/169]]. Its denominator decomposes as (13<sup>2</sup> - 1)(13<sup>2</sup> + 1), which, as 13 is a member of the Fibonacci sequence, by a property of that sequence is equal to 5821*34, the product of the four nearest members of the sequence to 13. This is responsible for the comma belonging to a relatively low [[prime limit]] for the size of its numerator and denominator, though the same Fibonacci property also applies to the [[scintillisma]], S441 = S(21<sup>2</sup>). Therefore, this comma has been given the name of the '''pisanoisma''', in reference to Leonardo Pisano, the discoverer of the Fibonacci sequence.		'''28561/28560''' is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}. It is a superparticular with a fourth power as its numerator, in this case 13<sup>4</sup> = 169<sup>2</sup> so that this comma is expressible as [[S-expression\|S]]169 and as the difference between [[169/168]] and [[170/169]]. Its denominator decomposes as (13<sup>2</sup> - 1)(13<sup>2</sup> + 1), which, as 13 is a member of the Fibonacci sequence, by a property of that sequence is equal to 5821*34, the product of the four nearest members of the sequence to 13. This is responsible for the comma belonging to a relatively low [[prime limit]] for the size of its numerator and denominator, though the same Fibonacci property also applies to the [[scintillisma]], S441 = S(21<sup>2</sup>). Therefore, this comma has been given the name of the '''pisanoisma''', in reference to Leonardo Pisano, the discoverer of the Fibonacci sequence.

	== Commatic relations ==		== Commatic relations ==

Lériendil at 13:56, 20 November 2024

2024-11-20T13:56:02Z

← Older revision		Revision as of 13:56, 20 November 2024
Line 5:		Line 5:
	\| Color name = suquadtho-arugu 1sn		\| Color name = suquadtho-arugu 1sn
	}}		}}
	'''28561/28560''', is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}. It is a superparticular with a fourth power as its numerator, in this case 13<sup>4</sup> = 169<sup>2</sup> so that this comma is expressible as [[Square superparticular\|S]]169 and as the difference between [[169/168]] and [[170/169]]. Its denominator decomposes as (13<sup>2</sup> - 1)(13<sup>2</sup> + 1), which, as 13 is a member of the Fibonacci sequence, by a property of that sequence is equal to 5821*34, the product of the four nearest members of the sequence to 13. This is responsible for the comma belonging to a relatively low [[prime limit]] for the size of its numerator and denominator, though the same Fibonacci property also applies to the [[scintillisma]], S441 = S(21<sup>2</sup>). Therefore, this comma has been given the name of the '''pisanoisma''', in reference to Leonardo Pisano, the discoverer of the Fibonacci sequence.		'''28561/28560''' is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}. It is a superparticular with a fourth power as its numerator, in this case 13<sup>4</sup> = 169<sup>2</sup> so that this comma is expressible as [[Square superparticular\|S]]169 and as the difference between [[169/168]] and [[170/169]]. Its denominator decomposes as (13<sup>2</sup> - 1)(13<sup>2</sup> + 1), which, as 13 is a member of the Fibonacci sequence, by a property of that sequence is equal to 5821*34, the product of the four nearest members of the sequence to 13. This is responsible for the comma belonging to a relatively low [[prime limit]] for the size of its numerator and denominator, though the same Fibonacci property also applies to the [[scintillisma]], S441 = S(21<sup>2</sup>). Therefore, this comma has been given the name of the '''pisanoisma''', in reference to Leonardo Pisano, the discoverer of the Fibonacci sequence.

	== Commatic relations ==		== Commatic relations ==

Lériendil at 13:49, 20 November 2024

2024-11-20T13:49:42Z

← Older revision		Revision as of 13:49, 20 November 2024
Line 2:		Line 2:
	\| Ratio = 28561/28560		\| Ratio = 28561/28560
	\| Comma = yes		\| Comma = yes
	\| Name = ~~Difference of 169/168 and 170/169~~		\| Name = Pisanoisma
	\| Color name = suquadtho-arugu 1sn		\| Color name = suquadtho-arugu 1sn
	}}		}}
	'''28561/28560''' is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}.		'''28561/28560''', is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}. It is a superparticular with a fourth power as its numerator, in this case 13<sup>4</sup> = 169<sup>2</sup> so that this comma is expressible as [[Square superparticular\|S]]169 and as the difference between [[169/168]] and [[170/169]]. Its denominator decomposes as (13<sup>2</sup> - 1)(13<sup>2</sup> + 1), which, as 13 is a member of the Fibonacci sequence, by a property of that sequence is equal to 5821*34, the product of the four nearest members of the sequence to 13. This is responsible for the comma belonging to a relatively low [[prime limit]] for the size of its numerator and denominator, though the same Fibonacci property also applies to the [[scintillisma]], S441 = S(21<sup>2</sup>). Therefore, this comma has been given the name of the '''pisanoisma''', in reference to Leonardo Pisano, the discoverer of the Fibonacci sequence.

	== Commatic relations ==		== Commatic relations ==
	~~This comma is the difference between~~
	* [[169/168]] and [[170/169]]

	It factors into		It factors into
	* [[37180/37179]] and [[123201/123200]]		* [[37180/37179]] and [[123201/123200]]
	* [[31213/31212]] and [[336141/336140]]		* [[31213/31212]] and [[336141/336140]]

BudjarnLambeth: Add “name” (more description than name admittedly)

2024-10-25T02:13:31Z

Add “name” (more description than name admittedly)

← Older revision		Revision as of 02:13, 25 October 2024
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	\| Ratio = 28561/28560		\| Ratio = 28561/28560
	\| Comma = yes		\| Comma = yes
			\| Name = Difference of 169/168 and 170/169
	\| Color name = suquadtho-arugu 1sn		\| Color name = suquadtho-arugu 1sn
	}}		}}

BudjarnLambeth: BudjarnLambeth moved page Neuseisma to 28561/28560 over redirect: Name dropped due to discussion on Discord

2024-10-15T06:19:07Z

BudjarnLambeth moved page Neuseisma to 28561/28560 over redirect: Name dropped due to discussion on Discord

← Older revision	Revision as of 06:19, 15 October 2024
(No difference)

BudjarnLambeth: Remove name

2024-10-15T06:18:39Z

Remove name

← Older revision		Revision as of 06:18, 15 October 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 28561/28560		\| Ratio = 28561/28560
	~~\| Name = neuseisma~~
	\| Comma = yes		\| Comma = yes
	\| Color name = suquadtho-arugu 1sn		\| Color name = suquadtho-arugu 1sn
	}}		}}
	'''28561/28560'''~~, the '''neuseisma''',~~ is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}.		'''28561/28560''' is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}.

	== Commatic relations ==		== Commatic relations ==
Line 14:		Line 13:
	* [[37180/37179]] and [[123201/123200]]		* [[37180/37179]] and [[123201/123200]]
	* [[31213/31212]] and [[336141/336140]]		* [[31213/31212]] and [[336141/336140]]

	~~== Temperaments ==~~
	~~Tempering out this comma in the 17-limit results in the rank-6 '''neuseismic temperament''', or in the 2.3.5.7.13.17 subgroup, the rank-5 '''neuseic temperament'''.~~

	~~== Etymology ==~~
	~~This comma is named by [[Budjarn Lambeth]] in 2023, after Neuse Forest, North Carolina, which has a ZIP code of 28560.~~

	~~[[Category:Neuseismic]]~~

Fredg999: Use new redirect

2024-01-03T05:07:50Z

Use new redirect

← Older revision		Revision as of 05:07, 3 January 2024
Line 19:		Line 19:

	== Etymology ==		== Etymology ==
	This comma is named by [[~~User:BudjarnLambeth\|~~Budjarn Lambeth]] in 2023, after Neuse Forest, North Carolina, which has a ZIP code of 28560.		This comma is named by [[Budjarn Lambeth]] in 2023, after Neuse Forest, North Carolina, which has a ZIP code of 28560.

	[[Category:Neuseismic]]		[[Category:Neuseismic]]

Xenllium at 10:08, 26 November 2023

2023-11-26T10:08:58Z

← Older revision		Revision as of 10:08, 26 November 2023
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
			\| Ratio = 28561/28560
	\| Name = neuseisma		\| Name = neuseisma
	\| Comma = yes		\| Comma = yes

Xenllium: Xenllium moved page 28561/28560 to Neuseisma

2023-11-26T05:10:15Z

Xenllium moved page 28561/28560 to Neuseisma

← Older revision	Revision as of 05:10, 26 November 2023
(No difference)

FloraC: Expansion

2023-07-08T08:05:41Z

Expansion

← Older revision		Revision as of 08:05, 8 July 2023
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\|Name = ~~Neuseisma~~		\| Name = neuseisma
	\|Comma = yes		\| Comma = yes
	\|Color name = suquadtho-arugu 1sn		\| Color name = suquadtho-arugu 1sn
	}}		}}
	'''28561/28560''', the '''~~Neuseisma~~''', is an unnoticeable 17-limit ~~comma which is the difference between [[169/168~~]] ~~and~~ [[~~170/169~~]].		'''28561/28560''', the '''neuseisma''', is an [[Unnoticeable comma\|unnoticeable]] [[17-limit]] [[comma]] of about 0.06{{cent}}.

	It is named after Neuse Forest, North Carolina, which has a ZIP code of 28560.		== Commatic relations ==
			This comma is the difference between
			* [[169/168]] and [[170/169]]

			It factors into
			* [[37180/37179]] and [[123201/123200]]
			* [[31213/31212]] and [[336141/336140]]

			== Temperaments ==
			Tempering out this comma in the 17-limit results in the rank-6 '''neuseismic temperament''', or in the 2.3.5.7.13.17 subgroup, the rank-5 '''neuseic temperament'''.

			== Etymology ==
			This comma is named by [[User:BudjarnLambeth\|Budjarn Lambeth]] in 2023, after Neuse Forest, North Carolina, which has a ZIP code of 28560.

			[[Category:Neuseismic]]