2025/2023 - Revision history

FloraC at 11:58, 28 March 2026

2026-03-28T11:58:20Z

← Older revision		Revision as of 11:58, 28 March 2026
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	== Etymology ==		== Etymology ==
	This comma's name ~~come~~ from both Latin "fidēs" (meaning "chord"<ref>[[Wiktionary: fides #Etymology 2]]</ref>) and Latin fīdēs (meaning "you will rely on"<ref>[[Wiktionary: fido #Latin]]</ref>), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of [[essentially tempered chord]]s.		This comma was named by [[Aura]] in 2023. The name comes from both Latin "fidēs" (meaning "chord"<ref>[[Wiktionary: fides #Etymology 2]]</ref>) and Latin fīdēs (meaning "you will rely on"<ref>[[Wiktionary: fido #Latin]]</ref>), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of [[essentially tempered chord]]s.

	== References ==		== References ==

FloraC: /* Temperaments */ oopsie

2026-03-28T11:56:20Z

Temperaments: oopsie

← Older revision		Revision as of 11:56, 28 March 2026
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	=== Fidic ===		=== Fidic ===
	[[Subgroup]]: 2.3.5.7.17		[[Subgroup]]: 3.5.7.17

	{{Mapping\|legend=2\| 1 0 0 2 \| 0 1 0 1 \| 0 0 2 -1 }}		{{Mapping\|legend=2\| 1 0 0 2 \| 0 1 0 1 \| 0 0 2 -1 }}

FloraC: + data

2026-03-28T11:55:57Z

+ data

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 == Temperaments ==
 Tempering out this comma in the 17-limit results in the rank-6 '''fidesmic''' temperament, or in the the 3.5.7.17 subgroup, the rank-3 '''fidic''' temperament.
 == Etymology ==

FloraC: Cleanup

2026-03-28T11:39:14Z

Cleanup

← Older revision		Revision as of 11:39, 28 March 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
			'''2025/2023''', the '''fidesma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a size of about 1.71 [[cent]]s. It is the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third.

	The '''fidesma''' is an [[unnoticeable comma\|unnoticeable]] 17-limit (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the ~~5th~~ is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth. However, the fidesma can be conceptualized in other ways, such as being the amount by which two instances of [[18/17]] exceed [[28/25]].		It is the [[superpyth]] counterpart of [[1445/1444]], [[tempering out\|tempered out]] in any scale where the fifth is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter-comma superpyth. However, the fidesma can be conceptualized in other ways, such as being the amount by which two instances of [[18/17]] exceed [[28/25]].

	It factors into ([[1701/1700]])([[2500/2499]]), and in the 23-limit, ([[2024/2023]])([[2025/2024]]), hinting at an extension of fidesmic to the 2.3.5.7.11.17.23 subgroup~~. No music is known to have been composed in this temperament to date, but it may receive some attention during 2025~~.		It factors into ([[1701/1700]])⋅([[2500/2499]]), and in the 23-limit, ([[2024/2023]])⋅([[2025/2024]]), hinting at an [[extension]] of fidesmic to the 2.3.5.7.11.17.23 subgroup.

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 17-limit results in the rank-6 '''fidesmic ~~temperament~~''', or in the the 3.5.7.17 subgroup, the rank-3 '''fidic ~~temperament~~'''.		Tempering out this comma in the 17-limit results in the rank-6 '''fidesmic''' temperament, or in the the 3.5.7.17 subgroup, the rank-3 '''fidic''' temperament.

	== Etymology ==		== Etymology ==
	This comma's name come from both Latin "fidēs" (meaning "chord"<ref>[[Wiktionary: fides #Etymology 2]]</ref>) and Latin fīdēs (meaning "you will rely on"<ref>[[Wiktionary: fido #Latin]]</ref>), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of essentially tempered ~~chords~~.		This comma's name come from both Latin "fidēs" (meaning "chord"<ref>[[Wiktionary: fides #Etymology 2]]</ref>) and Latin fīdēs (meaning "you will rely on"<ref>[[Wiktionary: fido #Latin]]</ref>), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of [[essentially tempered chord]]s.

	== References ==		== References ==
	<references/>		<references/>

			[[Category:Fidesmic]]
	[[Category:Commas named by translating something into another language]]		[[Category:Commas named by translating something into another language]]

VectorGraphics: fixed awkward description of year

2025-05-20T01:26:36Z

fixed awkward description of year

← Older revision		Revision as of 01:26, 20 May 2025
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	The '''fidesma''' is an [[unnoticeable comma\|unnoticeable]] 17-limit (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth. However, the fidesma can be conceptualized in other ways, such as being the amount by which two instances of [[18/17]] exceed [[28/25]].		The '''fidesma''' is an [[unnoticeable comma\|unnoticeable]] 17-limit (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth. However, the fidesma can be conceptualized in other ways, such as being the amount by which two instances of [[18/17]] exceed [[28/25]].

	It factors into ([[1701/1700]])([[2500/2499]]), and in the 23-limit, ([[2024/2023]])([[2025/2024]]), hinting at an extension of fidesmic to the 2.3.5.7.11.17.23 subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention ~~while the year number of the [[Wikipedia:Gregorian calendar\|Gregorian calendar]] progresses to~~ 2025.		It factors into ([[1701/1700]])([[2500/2499]]), and in the 23-limit, ([[2024/2023]])([[2025/2024]]), hinting at an extension of fidesmic to the 2.3.5.7.11.17.23 subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention during 2025.

	== Temperaments ==		== Temperaments ==

Aura: Just found another relationship that'

2025-05-20T00:43:14Z

Just found another relationship that'

← Older revision		Revision as of 00:43, 20 May 2025
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	}}		}}

	The '''fidesma''' is an [[unnoticeable comma\|unnoticeable]] 17-limit (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.		The '''fidesma''' is an [[unnoticeable comma\|unnoticeable]] 17-limit (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth. However, the fidesma can be conceptualized in other ways, such as being the amount by which two instances of [[18/17]] exceed [[28/25]].

	It factors into ([[1701/1700]])([[2500/2499]]), and in the 23-limit, ([[2024/2023]])([[2025/2024]]), hinting at an extension of fidesmic to the 2.3.5.7.11.17.23 subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention while the year number of the [[Wikipedia:Gregorian calendar\|Gregorian calendar]] progresses to 2025.		It factors into ([[1701/1700]])([[2500/2499]]), and in the 23-limit, ([[2024/2023]])([[2025/2024]]), hinting at an extension of fidesmic to the 2.3.5.7.11.17.23 subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention while the year number of the [[Wikipedia:Gregorian calendar\|Gregorian calendar]] progresses to 2025.

FloraC: Review

2024-11-30T14:50:30Z

Review

← Older revision		Revision as of 14:50, 30 November 2024
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	}}		}}

	The '''fidesma''' is a [[3.5.7.17 subgroup]] [[~~unnoticeable~~ comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.		The '''fidesma''' is an [[unnoticeable comma\|unnoticeable]] 17-limit (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.

	It factors into [[1701/1700]] × [[2500/2499]] (and, ~~of course,~~ [[2024/2023]] × [[2025/2024]]), ~~extending fidic temperament~~ to the 2.3.5.7.11.17(.23) subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention while the year number of the [[Wikipedia:Gregorian calendar\|Gregorian calendar]] progresses to 2025.		It factors into ([[1701/1700]])([[2500/2499]]), and in the 23-limit, ([[2024/2023]])([[2025/2024]]), hinting at an extension of fidesmic to the 2.3.5.7.11.17.23 subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention while the year number of the [[Wikipedia:Gregorian calendar\|Gregorian calendar]] progresses to 2025.

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 17-limit results in the rank-6 '''fidesmic temperament''', or in the the 3.5.7.17 subgroup, the rank-3 '''fidic temperament'''.		Tempering out this comma in the 17-limit results in the rank-6 '''fidesmic temperament''', or in the the 3.5.7.17 subgroup, the rank-3 '''fidic temperament'''.

	== Etymology ==		== Etymology ==

Recentlymaterialized at 22:56, 29 November 2024

2024-11-29T22:56:17Z

← Older revision		Revision as of 22:56, 29 November 2024
Line 5:		Line 5:
	}}		}}

	The '''fidesma''', with a ratio of '''2025/2023''' ~~(also 3.5.7.17 [[subgroup]]) is~~ the difference between two [[17/15]] wide ~~whole tones~~ and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.		The '''fidesma''' is a [[3.5.7.17 subgroup]] [[unnoticeable comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.

	It factors into ~~two superparticular intervals:~~ [[1701/1700]] × [[2500/2499]].		It factors into [[1701/1700]] × [[2500/2499]] (and, of course, [[2024/2023]] × [[2025/2024]]), extending fidic temperament to the 2.3.5.7.11.17(.23) subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention while the year number of the [[Wikipedia:Gregorian calendar\|Gregorian calendar]] progresses to 2025.

	== Temperaments ==		== Temperaments ==

BudjarnLambeth at 01:54, 16 November 2024

2024-11-16T01:54:47Z

← Older revision		Revision as of 01:54, 16 November 2024
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	== References ==		== References ==
	<references/>		<references/>

			[[Category:Commas named by translating something into another language]]

FloraC: +temperaments

2023-02-17T08:22:07Z

+temperaments

← Older revision		Revision as of 08:22, 17 February 2023
Line 5:		Line 5:
	}}		}}

	The '''fidesma''', with a ratio of '''2025/2023''' is the difference between two [[17/15]] wide whole tones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.		The '''fidesma''', with a ratio of '''2025/2023''' (also 3.5.7.17 [[subgroup]]) is the difference between two [[17/15]] wide whole tones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.

			It factors into two superparticular intervals: [[1701/1700]] × [[2500/2499]].

			== Temperaments ==
			Tempering out this comma in the 17-limit results in the rank-6 '''fidesmic temperament''', or in the the 3.5.7.17 subgroup, the rank-3 '''fidic temperament'''.

			== Etymology ==
	This comma's name come from both Latin "fidēs" (meaning "chord"<ref>[[Wiktionary: fides #Etymology 2]]</ref>) and Latin fīdēs (meaning "you will rely on"<ref>[[Wiktionary: fido #Latin]]</ref>), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of essentially tempered chords.		This comma's name come from both Latin "fidēs" (meaning "chord"<ref>[[Wiktionary: fides #Etymology 2]]</ref>) and Latin fīdēs (meaning "you will rely on"<ref>[[Wiktionary: fido #Latin]]</ref>), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of essentially tempered chords.

	~~It factors into two superparticular intervals: [[1701/1700]] × [[2500/2499]].~~

	== References ==		== References ==
	<references/>		<references/>