28/15 - Revision history

FloraC: Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

2025-11-03T13:03:15Z

Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

← Older revision		Revision as of 13:03, 3 November 2025
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	Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians, 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and the [[Functional Just System]], viewed as the Pythagorean diminished octave ([[4096/2187]]) altered by [[5120/5103]].		Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians, 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and the [[Functional Just System]], viewed as the Pythagorean diminished octave ([[4096/2187]]) altered by [[5120/5103]].
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 28/15}}		{{Interval edo approximation\|28/15}}

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

Pailiaq at 07:49, 3 November 2025

2025-11-03T07:49:13Z

← Older revision		Revision as of 07:49, 3 November 2025
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	== Terminology ==		== Terminology ==
	Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians, 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and the [[Functional Just System]], viewed as the Pythagorean diminished octave ([[4096/2187]]) altered by [[5120/5103]].		Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians, 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and the [[Functional Just System]], viewed as the Pythagorean diminished octave ([[4096/2187]]) altered by [[5120/5103]].
			== Approximation ==
			{{Interval_Edo_Approximation \| 28/15}}

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

BudjarnLambeth: Change/remove expand/stub in accordance with XW:IntTodo

2025-01-03T07:30:07Z

Change/remove expand/stub in accordance with XW:IntTodo

← Older revision		Revision as of 07:30, 3 January 2025
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	[[Category:Octave]]		[[Category:Octave]]
	[[Category:Diminished octave]]		[[Category:Diminished octave]]
	{{todo~~\| expand~~ \| improve synopsis }}		{{todo\|improve synopsis}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T14:44:52Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:44, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 28/15~~
	~~\| Monzo = 2 -1 -1 1~~
	~~\| Cents = 1080.55719~~
	\| Name = septimal grave major seventh		\| Name = septimal grave major seventh
	\| Color name = zg8, zogu octave		\| Color name = zg8, zogu octave
	~~\| FJS name = d8<sup>7</sup><sub>5</sub>~~
	\| Sound = jid_28_15_pluck_adu_dr220.mp3		\| Sound = jid_28_15_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:7-limit]]~~
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
	[[Category:Octave]]		[[Category:Octave]]
	[[Category:Diminished octave]]		[[Category:Diminished octave]]
	{{todo\| expand \| improve synopsis ~~\| add color name~~ }}		{{todo\| expand \| improve synopsis }}

Fredg999 category edits: Removing from Category:Pages with internal sound examples using Cat-a-lot

2022-02-22T23:46:45Z

Removing from Category:Pages with internal sound examples using Cat-a-lot

← Older revision		Revision as of 23:46, 22 February 2022
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	[[Category:Octave]]		[[Category:Octave]]
	[[Category:Diminished octave]]		[[Category:Diminished octave]]
	~~[[Category:Pages with internal sound examples]]~~

	{{todo\| expand \| improve synopsis \| add color name }}		{{todo\| expand \| improve synopsis \| add color name }}

TallKite: added the color name

2022-02-13T05:27:29Z

added the color name

← Older revision		Revision as of 05:27, 13 February 2022
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	\| Cents = 1080.55719		\| Cents = 1080.55719
	\| Name = septimal grave major seventh		\| Name = septimal grave major seventh
	\| Color name =		\| Color name = zg8, zogu octave
	\| FJS name = d8<sup>7</sup><sub>5</sub>		\| FJS name = d8<sup>7</sup><sub>5</sub>
	\| Sound = jid_28_15_pluck_adu_dr220.mp3		\| Sound = jid_28_15_pluck_adu_dr220.mp3

Fredg999: Misc. edits, categories

2021-12-15T20:56:33Z

Misc. edits, categories

← Older revision		Revision as of 20:56, 15 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 28/15		\| Ratio = 28/15
	\| Monzo = 2 -1 -1 1		\| Monzo = 2 -1 -1 1
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	}}		}}

	'''28/15''' is a [[7-limit]] just interval of about 1080.6 [[cent]]s. It is well approximated by [[10edo]] (9\10).		'''28/15''' is a [[7-limit]] [[just intonation]] interval of about 1080.6 [[cent]]s. It is well approximated by [[10edo]] (9\10).

	== Terminology ==		== Terminology ==
	Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians, 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and [[Functional Just System]], viewed as the ~~[[4096/2187\|~~Pythagorean diminished octave (4096/2187)]] altered by [[5120/5103]].		Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians, 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and the [[Functional Just System]], viewed as the Pythagorean diminished octave ([[4096/2187]]) altered by [[5120/5103]].

	== See also ==		== See also ==
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	[[Category:7-limit]]		[[Category:7-limit]]
	[[Category:~~Interval~~]]		[[Category:Seventh]]
	[[Category:~~Ratio~~]]		[[Category:Major seventh]]
	[[Category:Octave]]		[[Category:Octave]]
	[[Category:Diminished octave]]		[[Category:Diminished octave]]

FloraC: Improve categories

2021-04-10T16:26:02Z

Improve categories

← Older revision		Revision as of 16:26, 10 April 2021
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	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Ratio]]		[[Category:Ratio]]
	[[Category:~~Seventh~~]]		[[Category:Octave]]
	[[Category:~~Major seventh~~]]		[[Category:Diminished octave]]
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]

	{{todo\| expand \| improve synopsis \| add color name }}		{{todo\| expand \| improve synopsis \| add color name }}

FloraC: Replace "diatonic" by "grave" by analogy to 40/21 being called "acute" ("diatonic" here doesn't make any sense), and move this suboptimal name to the terminology section

2021-04-10T16:23:27Z

Replace "diatonic" by "grave" by analogy to 40/21 being called "acute" ("diatonic" here doesn't make any sense), and move this suboptimal name to the terminology section

← Older revision		Revision as of 16:23, 10 April 2021
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	\| Monzo = 2 -1 -1 1		\| Monzo = 2 -1 -1 1
	\| Cents = 1080.55719		\| Cents = 1080.55719
	\| Name = septimal ~~diatonic~~ major seventh		\| Name = septimal grave major seventh
	\| Color name =		\| Color name =
	\| FJS name = d8<sup>7</sup><sub>5</sub>		\| FJS name = d8<sup>7</sup><sub>5</sub>
Line 10:		Line 10:
	}}		}}

	'''28/15''', the '''septimal ~~diatonic~~ major seventh''', is a [[7-~~limit~~]] ~~just interval of about 1080.6~~ [[~~cent~~]]s.		'''28/15''' is a [[7-limit]] just interval of about 1080.6 [[cent]]s. It is well approximated by [[10edo]] (9\10).

			== Terminology ==
			Despite being approximated by the major seventh in systems like [[septimal meantone]], and even being called the '''septimal grave major seventh''' by some musicians, 28/15 is a diminished octave in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and [[Functional Just System]], viewed as the [[4096/2187\|Pythagorean diminished octave (4096/2187)]] altered by [[5120/5103]].

	== See also ==		== See also ==
			* [[15/14]] – its [[octave complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[15/14]] – its [[octave complement]]
	* [[10edo]] has a good approximation

	[[Category:7-limit]]		[[Category:7-limit]]
	[[Category:Interval ~~ratio~~]]		[[Category:Interval]]
	[[Category:~~Listen~~]]		[[Category:Ratio]]
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
			[[Category:Pages with internal sound examples]]

	~~[[Category:Todo:~~expand]]		{{todo\| expand \| improve synopsis \| add color name }}
	~~[[Category:Todo:~~improve synopsis]]
	~~[[Category:Todo:~~add color name]]

Xenwolf: introduced infobox, added some information and cats

2020-10-17T18:22:06Z

introduced infobox, added some information and cats

@@ Line 1: / Line 1: @@
-'''28/15'''
+{{Infobox Interval
-|2 -1 -1 1&gt;
+| Icon =
-.5572 cents
+'''28/15''', the '''septimal diatonic major seventh''', is a [[7-limit]] just interval of about 1080.6 [[cent]]s.
-[[File:jid_28_15_pluck_adu_dr220.mp3]] [[:File:jid_28_15_pluck_adu_dr220.mp3|sound sample]]      [[Category:todo:expand]]
+== See also ==