User:BudjarnLambeth/Substitute harmonic - Revision history

Fredg999: /* See also */ Update link

2025-08-21T20:59:09Z

BudjarnLambeth: Mark as Editable

2025-06-15T11:05:00Z

Mark as Editable

← Older revision		Revision as of 11:05, 15 June 2025
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	{{Technical data page}}		{{Technical data page}}
			{{Editable user page}}
	A '''substitute harmonic'''{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.		A '''substitute harmonic'''{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.

Xenllium at 13:38, 13 June 2025

2025-06-13T13:38:05Z

← Older revision		Revision as of 13:38, 13 June 2025
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	== List of substitute harmonics ==		== List of substitute harmonics ==
	Each harmonic is given in octave-reduced [[cent]]s. This list is not exhaustive.		Each harmonic is given in octave-reduced [[cent]]s. This list is not exhaustive.


	=== Substitutes for the 2nd harmonic (1200) ===		=== Substitutes for the 2nd harmonic (1200) ===
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	* the 515th harmonic (~10)		* the 515th harmonic (~10)
	* the 1031st harmonic (~12)		* the 1031st harmonic (~12)


	=== Substitutes for the 3rd harmonic (~702) ===		=== Substitutes for the 3rd harmonic (~702) ===
	*the 381st harmonic (~688)		* the 381st harmonic (~688)
	*the 763rd harmonic (~691)		* the 763rd harmonic (~691)
	*the 191st harmonic (~693)		* the 191st harmonic (~693)
	*the 765th harmonic (~695)		* the 765th harmonic (~695)
	*the 383rd harmonic (~697)		* the 383rd harmonic (~697)
	*the 767th harmonic (~700)		* the 767th harmonic (~700)
	*the 769th harmonic (~704)		* the 769th harmonic (~704)
	*the 385th harmonic (~706)		* the 385th harmonic (~706)
	*the 771st harmonic (~709)		* the 771st harmonic (~709)
	*the 193rd harmonic (~711)		* the 193rd harmonic (~711)
	*the 773rd harmonic (~713)		* the 773rd harmonic (~713)
	*the 387th harmonic (~715)		* the 387th harmonic (~715)


	=== Substitutes for the 5th harmonic (~386) ===		=== Substitutes for the 5th harmonic (~386) ===
	*the 317th harmonic (~370)		* the 317th harmonic (~370)
	*the 635th harmonic (~373)		* the 635th harmonic (~373)
	*the 159th harmonic (~375)		* the 159th harmonic (~375)
	*the 637th harmonic (~378)		* the 637th harmonic (~378)
	*the 319th harmonic (~381)		* the 319th harmonic (~381)
	*the 639th harmonic (~384)		* the 639th harmonic (~384)
	*the 641st harmonic (~389)		* the 641st harmonic (~389)
	*the 321st harmonic (~392)		* the 321st harmonic (~392)
	*the 643rd harmonic (~394)		* the 643rd harmonic (~394)
	*the 161st harmonic (~397)		* the 161st harmonic (~397)
	*the 645th harmonic (~400)		* the 645th harmonic (~400)
	*the 323rd harmonic (~402)		* the 323rd harmonic (~402)


	=== Substitutes for the 7th harmonic (~969) ===		=== Substitutes for the 7th harmonic (~969) ===
	*the 111th harmonic (~953)		* the 111th harmonic (~953)
	*the 889th harmonic (~955)		* the 889th harmonic (~955)
	*the 445th harmonic (~957)		* the 445th harmonic (~957)
	*the 891st harmonic (~959)		* the 891st harmonic (~959)
	*the 223rd harmonic (~961)		* the 223rd harmonic (~961)
	*the 893rd harmonic (~963)		* the 893rd harmonic (~963)
	*the 447th harmonic (~965)		* the 447th harmonic (~965)
	*the 895th harmonic (~967)		* the 895th harmonic (~967)
	*the 897th harmonic (~971)		* the 897th harmonic (~971)
	*the 449th harmonic (~973)		* the 449th harmonic (~973)
	*the 899th harmonic (~975)		* the 899th harmonic (~975)
	*the 225th harmonic (~977)		* the 225th harmonic (~977)
	*the 901st harmonic (~978)		* the 901st harmonic (~978)
	*the 451st harmonic (~980)		* the 451st harmonic (~980)
	*the 903rd harmonic (~982)		* the 903rd harmonic (~982)
	*the 113th harmonic (~984)		* the 113th harmonic (~984)


	=== Substitutes for the 11th harmonic (~551) ===		=== Substitutes for the 11th harmonic (~551) ===
	*the 349th harmonic (~537)		* the 349th harmonic (~537)
	*the 699th harmonic (~539)		* the 699th harmonic (~539)
	*the 175th harmonic (~541)		* the 175th harmonic (~541)
	*the 701st harmonic (~544)		* the 701st harmonic (~544)
	*the 351st harmonic (~546)		* the 351st harmonic (~546)
	*the 703rd harmonic (~549)		* the 703rd harmonic (~549)
	*the 705th harmonic (~554)		* the 705th harmonic (~554)
	*the 353rd harmonic (~556)		* the 353rd harmonic (~556)
	*the 707th harmonic (~559)		* the 707th harmonic (~559)
	*the 177th harmonic (~561)		* the 177th harmonic (~561)
	*the 709th harmonic (~564)		* the 709th harmonic (~564)
	*the 355th harmonic (~566)		* the 355th harmonic (~566)


	== Temperaments using substitute harmonics ==		== Temperaments using substitute harmonics ==


	===...with mostly sharp substitutes===		===...with mostly sharp substitutes===
	Name these after sharp weapons. If they closely resemble another temperament, reference that temperament in the name.		Name these after sharp weapons. If they closely resemble another temperament, reference that temperament in the name.

			==== Daggerminished ====
	====Daggerminished====
	Same melodic shape as [[diminished]]. Uses sharper substitutes for prime 3, 5, 7 and 11.		Same melodic shape as [[diminished]]. Uses sharper substitutes for prime 3, 5, 7 and 11.


	Subgroup		Subgroup


	2.113.161.177.193		2.113.161.177.193
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	====Pajaraxe ====		==== Pajaraxe ====
	Same melodic shape as [[pajara]]. Uses sharper substitutes for prime 3, 5, 7 and 11.		Same melodic shape as [[pajara]]. Uses sharper substitutes for prime 3, 5, 7 and 11.

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	Name these after dishes which involve mixing things (e.g. stirfry, salad). If they closely resemble another temperament, reference that temperament in the name.		Name these after dishes which involve mixing things (e.g. stirfry, salad). If they closely resemble another temperament, reference that temperament in the name.

			== See also ==
	==See also==
	Scales that make use of substitute harmonics:		Scales that make use of substitute harmonics:
	*[[Ed255/128]] and [[Ed257/128]]		* [[Ed255/128]] and [[Ed257/128]]
	*[[Intercom scales]]		* [[Intercom scales]]

	Other related concepts:		Other related concepts:
	*[[Shadow]]		* [[Shadow]]
	*[[Subgroup temperaments]]		* [[Subgroup temperaments]]
	**[[Equalizer subgroup]]s		** [[Equalizer subgroup]]s
	**[[Dual-fifth temperaments]]		** [[Dual-fifth temperaments]]
	**[[Half-prime subgroup]]s		** [[Half-prime subgroup]]s
	*[[List of octave-reduced harmonics]]		* [[List of octave-reduced harmonics]]
	*[[Naughty and nice harmonics]]		* [[Naughty and nice harmonics]]

	[[Category:Harmonic series]]		[[Category:Harmonic series]]

BudjarnLambeth: BudjarnLambeth moved page Substitute harmonic to User:BudjarnLambeth/Substitute harmonic

2025-05-07T02:55:54Z

BudjarnLambeth moved page Substitute harmonic to User:BudjarnLambeth/Substitute harmonic

← Older revision	Revision as of 02:55, 7 May 2025
(No difference)

Lériendil: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:47:51Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

← Older revision		Revision as of 13:47, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	A '''substitute harmonic'''{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.		A '''substitute harmonic'''{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.

BudjarnLambeth: {{Technical data page}}

2025-04-13T10:23:33Z

{{Technical data page}}<br><br>

← Older revision		Revision as of 10:23, 13 April 2025
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			{{Technical data page}}<br><br>
	A '''substitute harmonic'''{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.		A '''substitute harmonic'''{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.

BudjarnLambeth: /* See also */

2024-12-16T02:36:43Z

BudjarnLambeth: /* See also */ add link to orphaned page

2024-12-16T02:34:22Z

BudjarnLambeth: /* See also */

2024-11-05T01:46:09Z

BudjarnLambeth: /* See also */ rearrange

2024-10-27T10:19:19Z

← Older revision		Revision as of 20:59, 21 August 2025
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	** [[Half-prime subgroup]]s		** [[Half-prime subgroup]]s
	* [[List of octave-reduced harmonics]]		* [[List of octave-reduced harmonics]]
	* [[Naughty and nice harmonics]]		* [[User:MasonGreen1/Naughty and nice harmonics]]

	[[Category:Harmonic series]]		[[Category:Harmonic series]]

← Older revision		Revision as of 02:36, 16 December 2024
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	Other related concepts:		Other related concepts:
			*[[Shadow]]
	*[[Subgroup temperaments]]		*[[Subgroup temperaments]]
	**[[Equalizer subgroup]]s		**[[Equalizer subgroup]]s
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	*[[List of octave-reduced harmonics]]		*[[List of octave-reduced harmonics]]
	*[[Naughty and nice harmonics]]		*[[Naughty and nice harmonics]]
	*[[Shadow]]

	[[Category:Harmonic series]]		[[Category:Harmonic series]]

← Older revision		Revision as of 02:34, 16 December 2024
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	*[[List of octave-reduced harmonics]]		*[[List of octave-reduced harmonics]]
	*[[Naughty and nice harmonics]]		*[[Naughty and nice harmonics]]
			*[[Shadow]]

	[[Category:Harmonic series]]		[[Category:Harmonic series]]

← Older revision		Revision as of 01:46, 5 November 2024
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	**[[Equalizer subgroup]]s		**[[Equalizer subgroup]]s
	**[[Dual-fifth temperaments]]		**[[Dual-fifth temperaments]]
			**[[Half-prime subgroup]]s
	*[[List of octave-reduced harmonics]]		*[[List of octave-reduced harmonics]]
	*[[Naughty and nice harmonics]]		*[[Naughty and nice harmonics]]

← Older revision		Revision as of 10:19, 27 October 2024
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	Other related concepts:		Other related concepts:
	*[[Dual-fifth temperaments]]
	*[[Subgroup temperaments]]		*[[Subgroup temperaments]]
	**[[Equalizer subgroup]]s		**[[Equalizer subgroup]]s
			**[[Dual-fifth temperaments]]
	*[[List of octave-reduced harmonics]]		*[[List of octave-reduced harmonics]]
	*[[Naughty and nice harmonics]]		*[[Naughty and nice harmonics]]

User:BudjarnLambeth/Substitute harmonic - Revision history

Fredg999: /* See also */ Update link

BudjarnLambeth: Mark as Editable

Xenllium at 13:38, 13 June 2025

BudjarnLambeth: BudjarnLambeth moved page Substitute harmonic to User:BudjarnLambeth/Substitute harmonic

Lériendil: Text replacement - "{{Technical data page}}" to "{{Technical data page}}"

BudjarnLambeth: {{Technical data page}}

BudjarnLambeth: /* See also */

BudjarnLambeth: /* See also */ add link to orphaned page

BudjarnLambeth: /* See also */

BudjarnLambeth: /* See also */ rearrange

Lériendil: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"