176/175 - Revision history

Lériendil: /* Etymology */

2026-01-08T22:15:58Z

Etymology

← Older revision		Revision as of 22:15, 8 January 2026
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	== Etymology ==		== Etymology ==
	The name ~~likely derives from~~ "Valinor" (a location in J. R. R. Tolkien's Middle-earth), ~~but what association Valinor has to this comma is unknown~~.		The name seems to originally have been a portmanteau of "[[valentine]]", "[[orwell]]", and possibly an additional temperament, all of which temper out this comma in the 11-limit, as was a common custom for naming commas. However, the name has been re-interpreted as referring to "Valinor", a location in J. R. R. Tolkien's Middle-earth, and various temperaments in the valinorsmic clan have been named after the Valar, that realm's inhabitants.

	== See also ==		== See also ==

FloraC: Cleanup

2025-10-20T13:26:03Z

Cleanup

← Older revision		Revision as of 13:26, 20 October 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
			'''176/175''', the '''valinorsma''', is a [[small comma\|small]] [[11-limit]] [[comma]] measuring about 9.9 [[cent]]s. It is the amount by which [[11/7]] exceeds two [[5/4]]'s stacked, that is, the difference between 11/7 and [[25/16]], [[8/7]] and [[25/22]], [[14/11]] and [[32/25]], [[15/11]] and [[48/35]], or [[22/15]] and [[35/24]].
	'''176/175''', the '''valinorsma''', is a [[11-limit]] [[~~small~~ comma]] measuring about 9.9 ~~cents~~. It is the amount by which [[11/7]] exceeds two [[5/4]]'s stacked, that is, the difference between 11/7 and [[25/16]], [[8/7]] and [[25/22]], [[14/11]] and [[32/25]], [[15/11]] and [[48/35]], or [[22/15]] and [[35/24]].

	176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).		176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).
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	== See also ==		== See also ==
	* [[Small comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:Valinorsmic]]		[[Category:Valinorsmic]]
	[[Category:Commas with unknown etymology]]		[[Category:Commas with unknown etymology]]

FloraC: Make valinor explicit

2025-10-20T13:25:11Z

Make valinor explicit

← Older revision		Revision as of 13:25, 20 October 2025
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	176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).		176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).

			== Temperaments ==
			Tempering out this comma leads to the rank-4 '''valinorsmic temperament''' (→ [[Rank-4 temperament #Valinorsmic (176/175)]]), or in the 2.5.7.11 subgroup, the [[valinor]] temperament, enabling [[valinorsmic chords]]. See [[Valinorsmic clan]] for the clan of rank-3 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==
	The name likely derives from "Valinor" (a location in J. R. R. Tolkien's Middle-earth), but what association Valinor has to this comma is unknown.		The name likely derives from "Valinor" (a location in J. R. R. Tolkien's Middle-earth), but what association Valinor has to this comma is unknown.

	~~== Temperaments ==~~
	Tempering out this comma leads to the rank-4 '''valinorsmic temperament''' (→ [[Rank-4 temperament #Valinorsmic (176/175)]]), and enables [[valinorsmic chords]]. See [[Valinorsmic clan]] for the clan of rank-3 temperaments where it is tempered out.

	== See also ==		== See also ==

VectorGraphics at 02:41, 14 April 2025

2025-04-14T02:41:49Z

← Older revision		Revision as of 02:41, 14 April 2025
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	176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).		176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).

			== Etymology ==
			The name likely derives from "Valinor" (a location in J. R. R. Tolkien's Middle-earth), but what association Valinor has to this comma is unknown.

	== Temperaments ==		== Temperaments ==

Sintel: spelling

2025-04-13T14:02:51Z

spelling

← Older revision		Revision as of 14:02, 13 April 2025
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	}}		}}

	'''176/175''', the '''valinorsma''', is a [[11-limit]] [[small comma]] measuring about 9.9 cents. It is amount by which [[11/7]] exceeds two [[5/4]]'s stacked, that is, the difference between 11/7 and [[25/16]], [[8/7]] and [[25/22]], [[14/11]] and [[32/25]], [[15/11]] and [[48/35]], or [[22/15]] and [[35/24]].		'''176/175''', the '''valinorsma''', is a [[11-limit]] [[small comma]] measuring about 9.9 cents. It is the amount by which [[11/7]] exceeds two [[5/4]]'s stacked, that is, the difference between 11/7 and [[25/16]], [[8/7]] and [[25/22]], [[14/11]] and [[32/25]], [[15/11]] and [[48/35]], or [[22/15]] and [[35/24]].

	176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).		176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).

BudjarnLambeth at 13:19, 3 November 2024

2024-11-03T13:19:53Z

← Older revision		Revision as of 13:19, 3 November 2024
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	[[Category:Valinorsmic]]		[[Category:Valinorsmic]]
			[[Category:Commas with unknown etymology]]

FloraC: Cleanup

2023-08-27T12:58:05Z

Cleanup

← Older revision		Revision as of 12:58, 27 August 2023
Line 5:		Line 5:
	}}		}}

	'''176/175''', the '''valinorsma''', is a [[11-limit]] [[small comma]] measuring about 9.9 cents. It is amount by which [[11/7]] exceeds two [[5/4]]'s stacked, that is, the difference between 11/7 and [[25/16]], [[8/7]] and [[25/22]], [[14/11]] and [[32/25]], [[15/11]] and [[48/35]], or [[22/15]] and [[35/24]]~~. Tempering it out leads to the rank-4 valinorsmic temperament~~.		'''176/175''', the '''valinorsma''', is a [[11-limit]] [[small comma]] measuring about 9.9 cents. It is amount by which [[11/7]] exceeds two [[5/4]]'s stacked, that is, the difference between 11/7 and [[25/16]], [[8/7]] and [[25/22]], [[14/11]] and [[32/25]], [[15/11]] and [[48/35]], or [[22/15]] and [[35/24]].

	176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: [[352/351]] × [[351/350]].		176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: ([[352/351]])([[351/350]]).

			== Temperaments ==
			Tempering out this comma leads to the rank-4 '''valinorsmic temperament''' (→ [[Rank-4 temperament #Valinorsmic (176/175)]]), and enables [[valinorsmic chords]]. See [[Valinorsmic clan]] for the clan of rank-3 temperaments where it is tempered out.

	== See also ==		== See also ==
	* [[Valinorsmic chords]]
	* [[Rank-4 temperament #Valinorsmic (176/175)]]
	* [[Valinorsmic clan]], the clan of rank-3 temperaments where it is tempered out
	* [[Small comma]]		* [[Small comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:Valinorsmic]]		[[Category:Valinorsmic]]

TallKite at 02:52, 10 January 2023

2023-01-10T02:52:00Z

← Older revision		Revision as of 02:52, 10 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Valinorsma		\| Name = Valinorsma
	\| Color name = 1orgg1, Lorugugu comma		\| Color name = 1orgg1, lorugugu 1sn,<br>Lorugugu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

TallKite: added color name

2022-12-29T02:03:59Z

added color name

← Older revision		Revision as of 02:03, 29 December 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Valinorsma		\| Name = Valinorsma
			\| Color name = 1orgg1, Lorugugu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:19:53Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:19, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	~~\| Ratio = 176/175~~
	~~\| Monzo = 4 0 -2 -1 1~~
	~~\| Cents = 9.86461~~
	\| Name = Valinorsma		\| Name = Valinorsma
	\| ~~Color name =~~		\| Comma = yes
	~~\| FJS name = d1<sup>11</sup><sub>25,7</sub>~~
	~~\| Sound~~ =
	}}		}}

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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

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

	~~[[Category:Todo:add color name]]~~