12/1 - Revision history

FloraC: Style

2025-04-02T10:59:35Z

Style

← Older revision		Revision as of 10:59, 2 April 2025
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	\| Sound = jid_12_1_pluck_adu_dr55.mp3		\| Sound = jid_12_1_pluck_adu_dr55.mp3
	}}		}}
	'''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a [[highly composite number]], this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. For example, stacking with octaves, [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: ~~1-2-3-4-6-12~~, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.		'''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a [[highly composite number]], this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. For example, stacking with octaves, [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1–2–3–4–6–12, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.

	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Ed12]]		* [[Ed12]]

FloraC: Link to internal link

2025-04-01T16:00:22Z

Link to internal link

← Older revision		Revision as of 16:00, 1 April 2025
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	\| Sound = jid_12_1_pluck_adu_dr55.mp3		\| Sound = jid_12_1_pluck_adu_dr55.mp3
	}}		}}
	'''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a ~~{{w\|~~highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. For example, stacking with octaves, [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.		'''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a [[highly composite number]], this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. For example, stacking with octaves, [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.

	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Ed12]]		* [[Ed12]]

FloraC: +"duodecuple"

2025-03-31T10:33:33Z

+"duodecuple"

← Older revision		Revision as of 10:33, 31 March 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = 12th harmonic		\| Name = 12th harmonic, duodecuple
	\| Color name = c<sup>3</sup>w5, tricowa 5th		\| Color name = c<sup>3</sup>w5, tricowa 5th
	\| Sound = jid_12_1_pluck_adu_dr55.mp3		\| Sound = jid_12_1_pluck_adu_dr55.mp3
	}}		}}
	'''12/1''', the '''12th harmonic''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w\|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. For example, stacking with octaves, [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.		'''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w\|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. For example, stacking with octaves, [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.

	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Ed12]]		* [[Ed12]]

BudjarnLambeth: /* See also */

2024-10-27T00:07:54Z

FloraC: Wording

2023-12-16T07:09:12Z

Wording

← Older revision		Revision as of 07:09, 16 December 2023
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	\| Sound = jid_12_1_pluck_adu_dr55.mp3		\| Sound = jid_12_1_pluck_adu_dr55.mp3
	}}		}}
	'''12/1''', the '''12th harmonic''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w\|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. ~~Alternating~~ [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.		'''12/1''', the '''12th harmonic''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w\|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. For example, stacking with octaves, [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.

	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

FloraC: Expansion

2023-12-16T06:56:37Z

Expansion

← Older revision		Revision as of 06:56, 16 December 2023
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	\| Sound = jid_12_1_pluck_adu_dr55.mp3		\| Sound = jid_12_1_pluck_adu_dr55.mp3
	}}		}}
	'''12/1''' is the ~~12th~~ harmonic; three ~~octaves~~ above [[3/2]].		'''12/1''', the '''12th harmonic''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w\|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning\|Pythagorean]] intervals. Alternating [[3/2\|fifth]]s and [[4/3\|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit\|higher-limit]] intervals can be added to enrich its colors.

	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Fredg999 category edits: Removing from Category:Equivalence interval using Cat-a-lot

2023-07-06T02:56:13Z

Removing from Category:Equivalence interval using Cat-a-lot

← Older revision		Revision as of 02:56, 6 July 2023
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	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	~~[[Category:Equivalence interval]]~~

BudjarnLambeth: Added to category “equivalence interval”

2023-07-06T02:27:00Z

Added to category “equivalence interval”

← Older revision		Revision as of 02:27, 6 July 2023
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	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
			[[Category:Equivalence interval]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:20:30Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:20, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 12/1~~
	~~\| Monzo = 2 1~~
	~~\| Cents = 4301.95500~~
	\| Name = 12th harmonic		\| Name = 12th harmonic
	\| Color name = c<sup>3</sup>w5, tricowa 5th		\| Color name = c<sup>3</sup>w5, tricowa 5th
	~~\| FJS name = P26~~
	\| Sound = jid_12_1_pluck_adu_dr55.mp3		\| Sound = jid_12_1_pluck_adu_dr55.mp3
	}}		}}
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	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:3-limit]]~~
	~~[[Category:Harmonics]]~~

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

2022-02-22T23:46:39Z

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:3-limit]]		[[Category:3-limit]]
	[[Category:Harmonics]]		[[Category:Harmonics]]
	~~[[Category:Pages with internal sound examples]]~~

← Older revision		Revision as of 00:07, 27 October 2024
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	== See also ==		== See also ==
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
			* [[Ed12]]