126/125 - Revision history

Lucius Chiaraviglio: Equates the 7th harmonic with 7/1 with (5/3)^3 * (3/2)

2026-05-18T11:16:02Z

Equates the 7th harmonic with 7/1 with (5/3)^3 * (3/2)

← Older revision		Revision as of 11:16, 18 May 2026
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	{{Wikipedia\|Septimal semicomma}}		{{Wikipedia\|Septimal semicomma}}

	The '''starling comma''' or '''septimal semicomma''', '''126/125''' (about 13.8 [[cent]]s), is the [[superparticular]] [[7-limit]] [[comma]] which is the difference between [[36/35]] (septimal quartertone) and [[50/49]] (jubilisma). In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3's (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest [[Bohlen–Pierce]] intervals.		The '''starling comma''' or '''septimal semicomma''', '''126/125''' (about 13.8 [[cent]]s), is the [[superparticular]] [[7-limit]] [[comma]] which is the difference between [[36/35]] (septimal quartertone) and [[50/49]] (jubilisma). In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3's (octave-reduced) fall short of the [[7/6]] septimal minor third. It equates the [[7/1\|7th harmonic]] with ([[5/3]])<sup>3</sup>([[3/2]]). It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest [[Bohlen–Pierce]] intervals.

	== Temperaments ==		== Temperaments ==

ArrowHead294 at 18:20, 13 March 2025

2025-03-13T18:20:02Z

← Older revision		Revision as of 18:20, 13 March 2025
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	{{Wikipedia\|Septimal semicomma}}		{{Wikipedia\|Septimal semicomma}}

	The '''starling comma''' or '''septimal semicomma''', '''126/125''' (about 13.8 [[cent]]s), is the [[superparticular]] [[7-limit]] [[comma]] which is the difference between [[36/35]] (septimal quartertone) and [[50/49]] (jubilisma). In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3's (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest [[~~Bohlen-Pierce\|~~Bohlen–Pierce]] intervals.		The '''starling comma''' or '''septimal semicomma''', '''126/125''' (about 13.8 [[cent]]s), is the [[superparticular]] [[7-limit]] [[comma]] which is the difference between [[36/35]] (septimal quartertone) and [[50/49]] (jubilisma). In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3's (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest [[Bohlen–Pierce]] intervals.

	== Temperaments ==		== Temperaments ==

BudjarnLambeth at 12:27, 3 November 2024

2024-11-03T12:27:26Z

← Older revision		Revision as of 12:27, 3 November 2024
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	[[Category:Starling]]		[[Category:Starling]]
			[[Category:Commas named after musical traditions]]

TallKite at 02:33, 10 January 2023

2023-01-10T02:33:52Z

← Older revision		Revision as of 02:33, 10 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = starling comma, septimal semicomma		\| Name = starling comma, septimal semicomma
	\| Color name = zg<sup>3</sup>2, zotrigu comma		\| Color name = zg<sup>3</sup>2, zotrigu 2nd,<br>Zotrigu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree at 18:12, 25 October 2022

2022-10-25T18:12:26Z

← Older revision		Revision as of 18:12, 25 October 2022
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	\| Name = starling comma, septimal semicomma		\| Name = starling comma, septimal semicomma
	\| Color name = zg<sup>3</sup>2, zotrigu comma		\| Color name = zg<sup>3</sup>2, zotrigu comma
	\| Comma = 1		\| Comma = yes
	}}		}}
	{{Wikipedia\|Septimal semicomma}}		{{Wikipedia\|Septimal semicomma}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T11:31:41Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 11:31, 25 October 2022
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	}}		}}
	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 126/125~~		\| Name = starling comma, septimal semicomma
	~~\| Monzo = 1 2 -3 1~~
	~~\| Cents = 13.79477~~
	\| Name = starling comma, ~~<br>~~septimal semicomma
	\| Color name = zg<sup>3</sup>2, zotrigu comma		\| Color name = zg<sup>3</sup>2, zotrigu comma
	\| ~~FJS name = d2<sup>7</sup><sub>125</sub>~~		\| Comma = 1
	~~\| Sound~~ =
	}}		}}
	{{Wikipedia\|Septimal semicomma}}		{{Wikipedia\|Septimal semicomma}}
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	~~[[Category:7-limit]]~~
	~~[[Category:Small commas]]~~
	[[Category:Starling]]		[[Category:Starling]]
	~~[[Category:Superparticular]]~~

FloraC: Fix a link

2022-10-22T13:42:34Z

Fix a link

← Older revision		Revision as of 13:42, 22 October 2022
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	{{Wikipedia\|Septimal semicomma}}		{{Wikipedia\|Septimal semicomma}}

	The '''starling comma''' or '''septimal semicomma''', '''126/125''' (about 13.8 [[cent]]s), is the [[superparticular]] [[7-limit]] [[comma]] which is the difference between [[36/35]] (septimal quartertone) and [[50/49]] (jubilisma). In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3's (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest [[Bohlen–Pierce]] intervals.		The '''starling comma''' or '''septimal semicomma''', '''126/125''' (about 13.8 [[cent]]s), is the [[superparticular]] [[7-limit]] [[comma]] which is the difference between [[36/35]] (septimal quartertone) and [[50/49]] (jubilisma). In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3's (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest [[Bohlen-Pierce\|Bohlen–Pierce]] intervals.

	== Temperaments ==		== Temperaments ==

FloraC: Merge some see-also links to the temperament section; misc cleanup

2022-10-22T13:42:03Z

Merge some see-also links to the temperament section; misc cleanup

← Older revision		Revision as of 13:42, 22 October 2022
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	\| Monzo = 1 2 -3 1		\| Monzo = 1 2 -3 1
	\| Cents = 13.79477		\| Cents = 13.79477
	\| Name = ~~Starling~~ comma, <br> septimal semicomma		\| Name = starling comma, <br>septimal semicomma
	\| Color name = zg<sup>3</sup>2, zotrigu comma		\| Color name = zg<sup>3</sup>2, zotrigu comma
	\| FJS name = d2<sup>7</sup><sub>125</sub>		\| FJS name = d2<sup>7</sup><sub>125</sub>
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	{{Wikipedia\|Septimal semicomma}}		{{Wikipedia\|Septimal semicomma}}

	The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 ~~cents~~), is the superparticular [[7-limit]] [[comma]] which is the difference between ~~the~~ [[36/35]] septimal quartertone and ~~the~~ [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.		The '''starling comma''' or '''septimal semicomma''', '''126/125''' (about 13.8 [[cent]]s), is the [[superparticular]] [[7-limit]] [[comma]] which is the difference between [[36/35]] (septimal quartertone) and [[50/49]] (jubilisma). In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3's (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest [[Bohlen–Pierce]] intervals.

	== Temperaments ==		== Temperaments ==
	Tempering it out leads to the [[~~Starling family #Starling\|~~starling ~~temperament~~]], and ~~three minor thirds plus a~~ [[~~7/6~~]] ~~subminor third, when 126/125~~ is tempered out~~, gives the~~ [[starling ~~tetrad~~]] ~~or septimal semicomma diminished seventh chord~~.		Tempering it out alone in the 7-limit leads to the [[starling]] temperament, and enables [[starling chords]]. See [[Starling family]] for the rank-3 temperament family where it is tempered out. See [[starling temperaments]] for a collection of rank-2 temperaments where it is tempered out.

	== See also ==		== See also ==
	* [[Starling family]], the rank-3 temperament family where it is tempered out
	* [[Starling temperaments]], a collection of rank-2 temperaments where it is tempered out
	* [[Starling chords]]
	* [[Small comma]]		* [[Small comma]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Stavats: Remove duplicate

2022-08-29T10:02:28Z

Remove duplicate

← Older revision		Revision as of 10:02, 29 August 2022
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	{{Wikipedia\|Septimal semicomma}}		{{Wikipedia\|Septimal semicomma}}

	The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the superparticular [[7-limit]] [[comma]] which is the difference between the [[36/35]] septimal quartertone and the [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third~~. It can be found as the difference between [[25/18]] and [[7/5]]~~. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.		The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the superparticular [[7-limit]] [[comma]] which is the difference between the [[36/35]] septimal quartertone and the [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.

	== Temperaments ==		== Temperaments ==

Stavats: Fixed content – 25/18 is flatter than 7/5

2022-08-29T09:58:59Z

Fixed content – 25/18 is flatter than 7/5

← Older revision		Revision as of 09:58, 29 August 2022
Line 16:		Line 16:
	{{Wikipedia\|Septimal semicomma}}		{{Wikipedia\|Septimal semicomma}}

	The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the superparticular [[7-limit]] [[comma]] which is the difference between the [[36/35]] septimal quartertone and the [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced) ~~exceed~~ the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third. It can be found as the difference between [[25/18]] and [[7/5]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.		The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the superparticular [[7-limit]] [[comma]] which is the difference between the [[36/35]] septimal quartertone and the [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third. It can be found as the difference between [[25/18]] and [[7/5]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.

	== Temperaments ==		== Temperaments ==