10/9 - Revision history

Pailiaq at 00:47, 27 November 2025

2025-11-27T00:47:28Z

← Older revision		Revision as of 00:47, 27 November 2025
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	The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.		The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.
	== ~~Approxcimations~~ ==		== Approximations ==
	{{interval edo approximation}}		{{interval edo approximation}}


	== Temperaments ==		== Temperaments ==

Pailiaq at 00:46, 27 November 2025

2025-11-27T00:46:30Z

← Older revision		Revision as of 00:46, 27 November 2025
Line 9:		Line 9:

	The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.		The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.
			== Approxcimations ==
			{{interval edo approximation}}


	== Temperaments ==		== Temperaments ==

Fredg999: Add temperaments (generated by this interval) section

2025-08-03T03:39:49Z

Add temperaments (generated by this interval) section

← Older revision		Revision as of 03:39, 3 August 2025
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	The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.		The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.

			== Temperaments ==
			The following [[linear temperament]]s are [[generate]]d by a [[~]]10/9:
			* [[Porcupine]]
			* [[Minortone]]

			{{todo\|complete list}}

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

FloraC: Reference moved

2023-08-15T10:33:25Z

Reference moved

← Older revision		Revision as of 10:33, 15 August 2023
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	{{Wikipedia\|Major second}}		{{Wikipedia\|Major second}}

	In [[5-limit]] [[just intonation]], '''10/9''' is the '''small''', '''classic(al)''', or '''ptolemaic whole tone'''<ref>For reference, see [[5/4]]. </ref> of about 182.4¢. It is a [[superparticular]] interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is [[9/8]] (about 203.9¢), which is [[81/80]] (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to [[12edo]]'s single whole step of 200¢. Thus, 9/8 is more familiar and less difficult to tune by ear than 10/9.		In [[5-limit]] [[just intonation]], '''10/9''' is the '''small''', '''classic(al)''', or '''ptolemaic whole tone'''<ref>For reference, see [[5-limit]]. </ref> of about 182.4¢. It is a [[superparticular]] interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is [[9/8]] (about 203.9¢), which is [[81/80]] (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to [[12edo]]'s single whole step of 200¢. Thus, 9/8 is more familiar and less difficult to tune by ear than 10/9.

	The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.		The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.

CompactStar at 01:02, 7 May 2023

2023-05-07T01:02:01Z

← Older revision		Revision as of 01:02, 7 May 2023
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	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]
			[[Category:Tritave-reduced harmonics]]

FloraC: Names

2023-01-12T12:35:18Z

Names

← Older revision		Revision as of 12:35, 12 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = small whole tone		\| Name = small whole tone, classic(al) whole tone, ptolemaic whole tone
	\| Color name = y2, yo 2nd		\| Color name = y2, yo 2nd
	\| Sound = jid_10_9_pluck_adu_dr220.mp3		\| Sound = jid_10_9_pluck_adu_dr220.mp3
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	{{Wikipedia\|Major second}}		{{Wikipedia\|Major second}}

	In [[5-limit]] [[just intonation]], '''10/9''' is a '''small whole tone''' of about 182.4¢. It is a [[superparticular]] interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is [[9/8]] (about 203.9¢), which is [[81/80]] (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to [[12edo]]'s single whole step of 200¢. Thus, 9/8 is more familiar and less difficult to tune by ear than 10/9.		In [[5-limit]] [[just intonation]], '''10/9''' is the '''small''', '''classic(al)''', or '''ptolemaic whole tone'''<ref>For reference, see [[5/4]]. </ref> of about 182.4¢. It is a [[superparticular]] interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is [[9/8]] (about 203.9¢), which is [[81/80]] (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to [[12edo]]'s single whole step of 200¢. Thus, 9/8 is more familiar and less difficult to tune by ear than 10/9.

	The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.		The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.
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	* [[6/5]] – its [[fourth complement]]		* [[6/5]] – its [[fourth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

			== Notes ==
			<references/>

	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:49:45Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:49, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 10/9~~
	~~\| Monzo = 1 -2 1~~
	~~\| Cents = 182.40371~~
	\| Name = small whole tone		\| Name = small whole tone
	\| Color name = y2, yo 2nd		\| Color name = y2, yo 2nd
	~~\| FJS name = M2<sup>5</sup>~~
	\| Sound = jid_10_9_pluck_adu_dr220.mp3		\| Sound = jid_10_9_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:5-limit]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]
	~~[[Category:Superparticular]]~~

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

2022-02-22T23:46:38Z

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:Whole tone]]		[[Category:Whole tone]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
	~~[[Category:Pages with internal sound examples]]~~

Fredg999: Added Wikipedia box, misc. edits, categories

2022-02-16T21:19:11Z

Added Wikipedia box, misc. edits, categories

← Older revision		Revision as of 21:19, 16 February 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 10/9		\| Ratio = 10/9
	\| Monzo = 1 -2 1		\| Monzo = 1 -2 1
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	\| Sound = jid_10_9_pluck_adu_dr220.mp3		\| Sound = jid_10_9_pluck_adu_dr220.mp3
	}}		}}
			{{Wikipedia\|Major second}}

	In [[5-limit]] [[~~Just Intonation~~]], '''10/9''' is a '''small whole tone''' of about 182.4¢. It is a [[superparticular]] interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is [[9/8]] (about 203.9¢), which is [[81/80]] (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to [[12edo]]'s single whole step of 200¢. Thus, 9/8 is more familiar and less difficult to tune by ear than 10/9.		In [[5-limit]] [[just intonation]], '''10/9''' is a '''small whole tone''' of about 182.4¢. It is a [[superparticular]] interval, as you can find it in the harmonic series between the 9th and the 10th overtones. It is one of two essential whole tones in the 5-limit; the other one is [[9/8]] (about 203.9¢), which is [[81/80]] (about 21.5¢) higher than 10/9. 9/8 is an octave-reduced overtone, and it is closer to [[12edo]]'s single whole step of 200¢. Thus, 9/8 is more familiar and less difficult to tune by ear than 10/9.

	The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.		The first three notes of a JI major scale – 1/1, 9/8, 5/4 – move by a step of 9/8 followed by a step of 10/9 (or alternatively 1/1, 10/9, 5/4 – move by a step of 10/9 followed by a step of 9/8). In systems where 81/80 is tempered out (in 12edo, [[19edo]], [[31edo]] and other [[meantone]] systems) that distinction is lost and this sounds like two equal-sized steps. In strict JI, the difference may be hard to notice at first.
Line 19:		Line 19:
	* [[27/20]] – its [[fifth complement]]		* [[27/20]] – its [[fifth complement]]
	* [[6/5]] – its [[fourth complement]]		* [[6/5]] – its [[fourth complement]]
	* [[Gallery of ~~Just Intervals]]~~		* [[Gallery of just intervals]]
	* [[Wikipedia:Major second\|Major second - Wikipedia]]

	[[Category:5-limit]]		[[Category:5-limit]]
	~~[[Category:Interval ratio]]~~
	~~[[Category:Just interval]]~~
	~~[[Category:Listen]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]

Eliora: /* See also */

2021-11-23T19:07:39Z

← Older revision		Revision as of 19:07, 23 November 2021
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	== See also ==		== See also ==
			* [[Decaononic]] - temperament which sets the tone to this interval, instead of to 9/8
	* [[9/5]] – its [[octave complement]]		* [[9/5]] – its [[octave complement]]
	* [[27/20]] – its [[fifth complement]]		* [[27/20]] – its [[fifth complement]]