User:Zeta Function/Contextual Xenharmonics - Revision history

Zeta Function: Add notice on history of page

2026-08-01T19:09:03Z

Add notice on history of page

← Older revision		Revision as of 19:09, 1 August 2026
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			{{mbox\|type=content\|text=This page is an archive of an old page of an idiosyncratic theory from user k9assassin who wrote it in the former Wikispaces site. It is being archived here to preserve history and because the theory's ideas are usable in principle, even if they need to be reworked. I might work on this page from time to time to improve the theory, but this page should be considered to be a perpetual draft.\|icon=Icon-Todo.png}}
	'''Contextual Xenharmonics''' is a theory that seeks to explain how we hear differently as individuals, why things sound the way they do to some and not others, and how to manipulate these experiences into what we want to tap into a new potential as xen-musicians.		'''Contextual Xenharmonics''' is a theory that seeks to explain how we hear differently as individuals, why things sound the way they do to some and not others, and how to manipulate these experiences into what we want to tap into a new potential as xen-musicians.

Zeta Function: Zeta Function moved page Contextual Xenharmonics to User:Zeta Function/Contextual Xenharmonics: Pet Theory of a former user on Wikispaces that is not ready for mainspace but appears to have some value

2026-08-01T18:55:39Z

Zeta Function moved page Contextual Xenharmonics to User:Zeta Function/Contextual Xenharmonics: Pet Theory of a former user on Wikispaces that is not ready for mainspace but appears to have some value

← Older revision	Revision as of 18:55, 1 August 2026
(No difference)

Zeta Function: /* Categories */ Add interval links and more info

2026-08-01T06:14:02Z

Categories: Add interval links and more info

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	Fringe Region - An area of categories where adjacent ones blend together. For example [[13/10]].		Fringe Region - An area of categories where adjacent ones blend together. For example [[13/10]].

	'''Anchors:''' Representative, relatively simple intervals of a category, which are often JI intervals but not always. For example, 3/2 is an anchor of the perfect fifth region, and 5/4 is an anchor of the major third region. Anchors can vary in their pull and recognizability. For example, 6/5 is more recognizable than 7/6 as an anchor, which in turn is more recognizable than 13/11 as an anchor. A major goal of RTT is to ensure that these anchor intervals are in tune as possible while still maintaining a simple lattice tuning system. Thus, anchors in JI can be transformed to RTT or edo anchors after being mapped into these tuning systems. In this way, this concept helps connect subjective and objective parts of xenharmonic music theory.		'''Anchors:''' Representative, relatively simple intervals of a category, which are often JI intervals but not always. For example, [[3/2]] is an anchor of the perfect fifth region, and [[5/4]] is an anchor of the major third region. Anchors can vary in their pull and recognizability. For example, [[6/5]] is more recognizable than [[7/6]] as an anchor of the minor third region, which in turn is more recognizable than [[13/11]] as an anchor. Note however that these secondary anchors can still be strong anchors of adjacent or subregions, with [[7/6]] for example acting as an anchor of the subminor region. A major goal of RTT is to ensure that these anchor intervals are in tune as possible while still maintaining a simple lattice tuning system. Thus, anchors in JI can be transformed to RTT or edo anchors after being mapped into these tuning systems, albeit with a somewhat vague limit on how much they can be detuned. In this way, this concept helps connect subjective and objective parts of xenharmonic music theory.

	== Projection ==		== Projection ==

Zeta Function: /* Categories */ Add a critical concept needed to connect to the rest of the wiki. Others encouraged to help

2026-08-01T06:11:43Z

Categories: Add a critical concept needed to connect to the rest of the wiki. Others encouraged to help

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	'''Duality:''' Two types of something exist sounding like it belongs to the same context. Such as major and minor thirds.		'''Duality:''' Two types of something exist sounding like it belongs to the same context. Such as major and minor thirds.

	'''Triality:''' Three types of something exist in the same class.		'''Triality:''' Three types of something exist in the same class.

	etc...		etc...

	Fringe Region - An area of categories where adjacent ones blend together. For example [[13/10]].		Fringe Region - An area of categories where adjacent ones blend together. For example [[13/10]].

			'''Anchors:''' Representative, relatively simple intervals of a category, which are often JI intervals but not always. For example, 3/2 is an anchor of the perfect fifth region, and 5/4 is an anchor of the major third region. Anchors can vary in their pull and recognizability. For example, 6/5 is more recognizable than 7/6 as an anchor, which in turn is more recognizable than 13/11 as an anchor. A major goal of RTT is to ensure that these anchor intervals are in tune as possible while still maintaining a simple lattice tuning system. Thus, anchors in JI can be transformed to RTT or edo anchors after being mapped into these tuning systems. In this way, this concept helps connect subjective and objective parts of xenharmonic music theory.

	== Projection ==		== Projection ==

VectorGraphics at 09:51, 13 November 2025

2025-11-13T09:51:37Z

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	== Portals ==		== Portals ==

	Portals are musical situations where you end up in a place different than expected or compared to another system. Usually associated with [[Comma pump\|comma-pumps]]. For example, [[15edo\|15 edo]]'s chain of fifths contains a portal somewhere between the third and fourth fifth in the cycle.{{clarify}}		Portals are musical situations where you end up in a place different than expected or compared to another system. Usually associated with [[Comma pump\|comma-pumps]]. For example, [[15edo\|15 edo]]'s chain of fifths contains a portal somewhere between the third and fourth fifth in the cycle, because the result of stacking four fifths in 15edo produces a categorical error compared to standard diatonic theory.{{clarify}}

	== Breaks ==		== Breaks ==

VectorGraphics: the [clarification needed] doesn't need an angry message saying to "EXPLAIN MORE????"

2025-11-13T09:50:42Z

the [clarification needed] doesn't need an angry message saying to "EXPLAIN MORE????"

← Older revision		Revision as of 09:50, 13 November 2025
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	== Portals ==		== Portals ==

	Portals are musical situations where you end up in a place different than expected or compared to another system. Usually associated with [[Comma pump\|comma-pumps]]. For example, [[15edo\|15 edo]]'s chain of fifths contains a portal somewhere between the third and fourth fifth in the cycle. ~~EXPLAIN MORE???~~{{clarify}}		Portals are musical situations where you end up in a place different than expected or compared to another system. Usually associated with [[Comma pump\|comma-pumps]]. For example, [[15edo\|15 edo]]'s chain of fifths contains a portal somewhere between the third and fourth fifth in the cycle.{{clarify}}

	== Breaks ==		== Breaks ==

BudjarnLambeth: /* Effects */

2024-01-09T04:54:29Z

Effects

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	TYPES:		TYPES:

	'''[[Stretched tuning\|Squash and Stretch]]''': This is the feeling that a familiar element has been perceivably stretched or compressed yet still seems to work regardless of how good or bad it sounds. Examples are [[13edo\|13 EDO]] which seems to exhibit a fair amount of squash and stretch despite it's fun house familiarity to [[12edo\|12 edo]]. '''Oblique Squash and Stretch''' on the other hand is like Superpyth where the large interval is stretched and the small ones squashed.		'''[[Stretched tuning\|Squash and Stretch]]''': This is the feeling that a familiar element has been perceivably stretched or compressed yet still seems to work regardless of how good or bad it sounds. Examples are [[13edo\|13 EDO]] which seems to exhibit a fair amount of squash and stretch despite it's fun house familiarity to [[12edo\|12 edo]]. '''Oblique Squash and Stretch''' on the other hand is like [[Superpyth]] where the large interval is stretched and the small ones squashed.

	'''Melodic Disjunct:''' The effect where a melodic element is distorted in a non uniform way such that some sounds become narrower and some wider usually without pattern.		'''Melodic Disjunct:''' The effect where a melodic element is distorted in a non uniform way such that some sounds become narrower and some wider usually without pattern.

BudjarnLambeth: Added links to dead end page

2024-01-09T04:54:11Z

Added links to dead end page

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	== Elements ==		== Elements ==

	These are the things like musical progressions, ~~scales~~, ~~chords~~ and tuning systems.		These are the things like musical progressions, [[scale]]s, [[chord]]s and [[Tuning\|tuning systems]].

	== Portals ==		== Portals ==

	Portals are musical situations where you end up in a place different than expected or compared to another system. Usually associated with comma-pumps. For example, 15 edo's chain of fifths contains a portal somewhere between the third and fourth fifth in the cycle. EXPLAIN MORE???		Portals are musical situations where you end up in a place different than expected or compared to another system. Usually associated with [[Comma pump\|comma-pumps]]. For example, [[15edo\|15 edo]]'s chain of fifths contains a portal somewhere between the third and fourth fifth in the cycle. EXPLAIN MORE???{{clarify}}

	== Breaks ==		== Breaks ==
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	etc...		etc...

	Fringe Region - An area of categories where adjacent ones blend together. For example 13/10.		Fringe Region - An area of categories where adjacent ones blend together. For example [[13/10]].

	== Projection ==		== Projection ==
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	TYPES:		TYPES:

	'''Squash and Stretch''': This is the feeling that a familiar element has been perceivably stretched or compressed yet still seems to work regardless of how good or bad it sounds. Examples are 13 EDO which seems to exhibit a fair amount of squash and stretch despite it's fun house familiarity to 12 edo. '''Oblique Squash and Stretch''' on the other hand is like Superpyth where the large interval is stretched and the small ones squashed.		'''[[Stretched tuning\|Squash and Stretch]]''': This is the feeling that a familiar element has been perceivably stretched or compressed yet still seems to work regardless of how good or bad it sounds. Examples are [[13edo\|13 EDO]] which seems to exhibit a fair amount of squash and stretch despite it's fun house familiarity to [[12edo\|12 edo]]. '''Oblique Squash and Stretch''' on the other hand is like Superpyth where the large interval is stretched and the small ones squashed.

	'''Melodic Disjunct:''' The effect where a melodic element is distorted in a non uniform way such that some sounds become narrower and some wider usually without pattern.		'''Melodic Disjunct:''' The effect where a melodic element is distorted in a non uniform way such that some sounds become narrower and some wider usually without pattern.
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	'''Melodic Overshoot/Undershoot''': A melodic element partially works with some pieces missing something expected but landing close to it.		'''Melodic Overshoot/Undershoot''': A melodic element partially works with some pieces missing something expected but landing close to it.

	'''Timbral Roughness:''' Element works movement wise but is rough in it's timbral quality. For example, using 720 cent as a 3/2 evokes a roughness yet feasibly works in context where it is established as such.		'''Timbral Roughness:''' Element works movement wise but is rough in it's timbral quality. For example, using 720 cent as a [[3/2]] evokes a roughness yet feasibly works in context where it is established as such.

	'''Musical Ambiguity:''' A particular element seems to work in a given context but the brain interprets it as also working as something else simultaneously forming a confusion.		'''Musical Ambiguity:''' A particular element seems to work in a given context but the brain interprets it as also working as something else simultaneously forming a confusion.

Fredg999 category edits: Categories

2023-02-21T05:27:05Z

Xenwolf: bold lemma, +cat

2020-09-26T13:54:32Z

bold lemma, +cat

← Older revision		Revision as of 13:54, 26 September 2020
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	Contextual Xenharmonics is a theory that seeks to explain how we hear differently as individuals, why things sound the way they do to some and not others, and how to manipulate these experiences into what we want to tap into a new potential as xen-musicians.		'''Contextual Xenharmonics''' is a theory that seeks to explain how we hear differently as individuals, why things sound the way they do to some and not others, and how to manipulate these experiences into what we want to tap into a new potential as xen-musicians.

	Since this is a new developing theory, not much is known. This page seeks to update whatever we learn until then.		Since this is a new developing theory, not much is known. This page seeks to update whatever we learn until then.

	==Contexts==		== Contexts ==

	Contexts are situations that affect largely how we hear and interpret musical things. In contextual xenharmonic, this is the main thing we study. This is things such as motifs, songs etc...		Contexts are situations that affect largely how we hear and interpret musical things. In contextual xenharmonic, this is the main thing we study. This is things such as motifs, songs etc...

	==Elements==		== Elements ==

	These are the things like musical progressions, scales, chords and tuning systems.		These are the things like musical progressions, scales, chords and tuning systems.

	==Portals==		== Portals ==

	Portals are musical situations where you end up in a place different than expected or compared to another system. Usually associated with comma-pumps. For example, 15 edo's chain of fifths contains a portal somewhere between the third and fourth fifth in the cycle. EXPLAIN MORE???		Portals are musical situations where you end up in a place different than expected or compared to another system. Usually associated with comma-pumps. For example, 15 edo's chain of fifths contains a portal somewhere between the third and fourth fifth in the cycle. EXPLAIN MORE???

	==Breaks==		== Breaks ==

	A break is a mental lapse in intelligibility that occurs in a foreign tuning system when one suddenly moves to an unexpected chord. The brain normally responds to breaks negatively, but some people may like the feeling.		A break is a mental lapse in intelligibility that occurs in a foreign tuning system when one suddenly moves to an unexpected chord. The brain normally responds to breaks negatively, but some people may like the feeling.

	==Categories==		== Categories ==

	Categories are places where elements relate to one another. For example major third and minor third both sound like thirds not fourths to most people.		Categories are places where elements relate to one another. For example major third and minor third both sound like thirds not fourths to most people.

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	Fringe Region - An area of categories where adjacent ones blend together. For example 13/10.		Fringe Region - An area of categories where adjacent ones blend together. For example 13/10.

	==Projection==		== Projection ==

	Projection means to play something in a tuning system it wasn't written for whether it accompanies it or not.		Projection means to play something in a tuning system it wasn't written for whether it accompanies it or not.

	==Context Activator==		== Context Activator ==

	A short musical segments designed to evoke the listener to interpret something in a specific way or train their ear.		A short musical segments designed to evoke the listener to interpret something in a specific way or train their ear.

	==Effects==		== Effects ==

	Effects are various situations in which a known context by the listener is altered in some way that is perceivable.		Effects are various situations in which a known context by the listener is altered in some way that is perceivable.

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	'''Partial Intelligibility:''' The context is LOOSELY recognizable.		'''Partial Intelligibility:''' The context is LOOSELY recognizable.
	[[Category:~~context~~]]
	[[Category:~~xenharmonic~~]]		[[Category:Theory]]
			[[Category:Context]]
			[[Category:Xenharmonic]]

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	'''Partial Intelligibility:''' The context is LOOSELY recognizable.		'''Partial Intelligibility:''' The context is LOOSELY recognizable.

	[[Category:~~Theory]]~~		[[Category:Essays]]
	~~[[Category:Context]]~~
	~~[[Category:Xenharmonic~~]]