List of anomalous saturated suspensions - Revision history

Fredg999: Categories

2024-12-22T22:11:00Z

TallKite at 05:43, 24 September 2024

2024-09-24T05:43:23Z

← Older revision		Revision as of 05:43, 24 September 2024
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	For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.		For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.

	Every chord has a plausible homonym. The alternate root is bolded in the scale. The Color Names column names the homonym for some of the chords. For example, if the first chord is Cg7, it has as a homonym gEby6.		Every chord has a plausible [[Chord homonym\|homonym]]. The alternate root is bolded in the scale. The Color Names column names the homonym for some of the chords. For example, if the first chord is Cg7, it has as a homonym gEby6.

	{\| class="wikitable"		{\| class="wikitable"

FloraC: Rework intro

2023-05-11T10:17:53Z

Rework intro

← Older revision		Revision as of 10:17, 11 May 2023
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	Below is a complete list of [~~http://x31eq.com/ass.htm Anomalous Saturated Suspensions~~] through the 23-limit. Each chord listed is either [[Otonality and utonality\|ambitonal]] or has a [[Otonality and utonality\|o/utonal]] inverse that is also an ~~'''Anomalous Saturated Suspension''' (or '''ASS''')~~.		Below is a complete list of [[anomalous saturated suspension]]s through the [[23-odd-limit]]. Each chord listed is either [[Otonality and utonality\|ambitonal]] or has a [[Otonality and utonality\|o/utonal]] inverse that is also an anomalous saturated suspension.

	==Formal names==		== Formal names ==
	For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.		For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.

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	\|		\|
	\|}		\|}

			== External links ==
			* [http://x31eq.com/ass.htm Graham Breed's list]

	[[Category:Chords]]		[[Category:Chords]]
	[[Category:ASS]]		[[Category:ASS]]

	~~[[Category:Todo:improve synopsis]]~~

FloraC: FloraC moved page Anomalous saturated suspension to List of anomalous saturated suspensions: This isn't the page where the concept is defined

2023-05-11T10:15:45Z

FloraC moved page Anomalous saturated suspension to List of anomalous saturated suspensions: This isn't the page where the concept is defined

← Older revision	Revision as of 10:15, 11 May 2023
(No difference)

Xenwolf: cleanup

2020-12-05T15:26:18Z

cleanup

Show changes

Xenwolf: Xenwolf moved page Anomalous Saturated Suspensions to Anomalous saturated suspension over redirect: Lemma case, singular - for better linking

2020-12-05T15:16:33Z

Xenwolf moved page Anomalous Saturated Suspensions to Anomalous saturated suspension over redirect: Lemma case, singular - for better linking

← Older revision	Revision as of 15:16, 5 December 2020
(No difference)

TallKite: Changed "ambitional" back to "ambitonal". The word comes from ambi- and tonal, and means both otonal and utonal. It has nothing to do with ambition.

2019-07-28T19:40:23Z

Changed "ambitional" back to "ambitonal". The word comes from ambi- and tonal, and means both otonal and utonal. It has nothing to do with ambition.

← Older revision		Revision as of 19:40, 28 July 2019
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	Below is a complete list of [http://x31eq.com/ass.htm Anomalous Saturated Suspensions] through the 23-limit. Each chord listed is either [[Otonality and utonality\|~~ambitional~~]] or has a [[Otonality and utonality\|o/utonal]] inverse that is also an ASS.		Below is a complete list of [http://x31eq.com/ass.htm Anomalous Saturated Suspensions] through the 23-limit. Each chord listed is either [[Otonality and utonality\|ambitonal]] or has a [[Otonality and utonality\|o/utonal]] inverse that is also an ASS.

	==Formal names==		==Formal names==

TallKite at 19:34, 28 July 2019

2019-07-28T19:34:00Z

← Older revision		Revision as of 19:34, 28 July 2019
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	For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.		For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.

	Every chord has a plausible homonym. The alternate root is bolded in the scale. The Color Names column names the homonym for some of the chords. For example, the first chord Cg7 has as a homonym gEby6.		Every chord has a plausible homonym. The alternate root is bolded in the scale. The Color Names column names the homonym for some of the chords. For example, if the first chord is Cg7, it has as a homonym gEby6.

	{\| class="wikitable"		{\| class="wikitable"
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	\| \| 3:7:9:15:21		\| \| 3:7:9:15:21
	\| \| 1/1 '''7/6''' 5/4 3/2 7/4		\| \| 1/1 '''7/6''' 5/4 3/2 7/4
	\|h7,z10 = r6,~~ry9~~		\|h7,z10 = r6,ry8
	\| \| Hendrix		\| \| Hendrix
	\|-		\|-
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	\| \| 21		\| \| 21
	\| \| 5:15:21:35:45:105		\| \| 5:15:21:35:45:105
	\| \| 1/1 21/20 9/8 21/16 3/2 '''7/4'''		\| \| 1/1 21/20 9/8 21/16 '''3/2''' '''7/4'''
	\|z9(z4)zg9 = r6,g3,r9		\|z9(z4)zg9 = z6,4,zg5 = r6,g3,r9
	\| \|		\| \|blues scale
	\|-		\|-
	\| \| '''A'''<span style="vertical-align: sub;">{21,3o}</span>		\| \| '''A'''<span style="vertical-align: sub;">{21,3o}</span>

ResonantFrequencies: re-categorisation (AWB), typos fixed: ambitonal → ambitional (3)

2019-06-30T00:33:00Z

re-categorisation (AWB), typos fixed: ambitonal → ambitional (3)

← Older revision		Revision as of 00:33, 30 June 2019
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	Below is a complete list of [http://x31eq.com/ass.htm Anomalous Saturated Suspensions] through the 23-limit. Each chord listed is either [[~~Otonality_and_utonality~~\|~~ambitonal~~]] or has a [[~~Otonality_and_utonality~~\|o/utonal]] inverse that is also an ASS.		Below is a complete list of [http://x31eq.com/ass.htm Anomalous Saturated Suspensions] through the 23-limit. Each chord listed is either [[Otonality and utonality\|ambitional]] or has a [[Otonality and utonality\|o/utonal]] inverse that is also an ASS.

	==Formal names==		==Formal names==
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	[[category:todo:add definition]]		[[category:todo:add definition]]
	[[~~category~~:~~chord~~]]		[[Category:Chords]]
	[[category:ass]]		[[category:ass]]

TallKite: a small clarification

2019-02-24T10:23:41Z

a small clarification

← Older revision		Revision as of 10:23, 24 February 2019
Line 4:		Line 4:
	For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.		For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.

	Every chord has a plausible homonym. The alternate root is bolded in the scale. The Color Names column names the homonym for some chords.		Every chord has a plausible homonym. The alternate root is bolded in the scale. The Color Names column names the homonym for some of the chords. For example, the first chord Cg7 has as a homonym gEby6.

	{\| class="wikitable"		{\| class="wikitable"

← Older revision		Revision as of 22:11, 22 December 2024
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	* [http://x31eq.com/ass.htm Graham Breed's list]		* [http://x31eq.com/ass.htm Graham Breed's list]

	[[Category:~~Chords~~]]		[[Category:Lists of chords]]
	[[Category:~~ASS~~]]		[[Category:Dyadic chords]]