Frameshift comma - Revision history

Aura at 17:22, 9 April 2026

2026-04-09T17:22:28Z

← Older revision		Revision as of 17:22, 9 April 2026
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma results in the[[frameshift]] temperament in the 2.3.11. This allows reaching [[11/8]] by a stepwise motion consisting of four apotomes and one [[128/121]] with astoundingly small error. [[Aura]] dubs this the '''frameshift progression''' (see below).		Tempering out this comma results in the [[frameshift]] temperament in the 2.3.11. This allows reaching [[11/8]] by a stepwise motion consisting of four apotomes and one [[128/121]] with astoundingly small error. [[Aura]] dubs this the '''frameshift progression''' (see below).

	It also splits the fifth into three 22528/19683's – an interval sharp of [[8/7]] by the [[symbiotic comma]]. Naturally, tempering it out results in a [[slendric]] extension.		It also splits the fifth into three 22528/19683's – an interval sharp of [[8/7]] by the [[symbiotic comma]]. Naturally, tempering it out results in a [[slendric]] extension.

Eufalesio: Formatted and added extra things

2026-04-09T11:47:52Z

Formatted and added extra things

← Older revision		Revision as of 11:47, 9 April 2026
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	}}		}}

	The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] ~~comma- specifically of the~~ 2.3.11 ~~subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s~~. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[frameshift microtemperaments\|frameshift microtemperament]], and such temperaments are known to be associated with higher-accuracy systems.		The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] (2.3.11) comma. It is the difference between:

	~~== Frameshift progression ==~~		* 4 [[Apotome\|apotomes]] and [[1331/1024]]
			* The [[243/242\|rastma]] and the [[pythrabian comma]]
			* The [[gamelisma]] and 3 [[Symbiotic comma\|symbiotic commas]]

	~~The name of~~ the frameshift ~~comma is even more appropriate~~ in ~~light of~~ the ~~fact that when one tempers out this comma, one can move stepwise to~~ 11/8 ~~though~~ a ~~series~~ of four ~~motions by the apotome~~ and one ~~motion by~~ [[128/121]]~~- all rather typical-sounding semitone-based motions-~~ with this ~~gesture forming the basis of what has since been dubbed~~ the '''frameshift progression'''~~- a cadence which shifts a listener's perception of pitch relations such that a modulation to 11/8 sounds in tune~~.		== Temperaments ==
			Tempering out this comma results in the[[frameshift]] temperament in the 2.3.11. This allows reaching [[11/8]] by a stepwise motion consisting of four apotomes and one [[128/121]] with astoundingly small error. [[Aura]] dubs this the '''frameshift progression''' (see below).

	[[File:Frameshift Cadence.mp3\|thumb\|~~Sample of the~~ Frameshift progression ~~as it appears~~ in [[159edo]].]]		It also splits the fifth into three 22528/19683's – an interval sharp of [[8/7]] by the [[symbiotic comma]]. Naturally, tempering it out results in a [[slendric]] extension.
			If both rastma and pythrabian comma are tempered out, this results in [[41edo]] – a trivial tuning of frameshift.

			== Etymology ==
			Discovered by Aura in 2021, it comes from the fact that both the [[rastmic]] and [[pythrabian]] temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime, these two frameworks for viewing the 11-prime relative to the 3-prime become linked when this comma is tempered out – hence the name "frameshift" comma.[[File:Frameshift Cadence.mp3\|thumb\|Frameshift progression sample in [[159edo]].]]

	[[File:Frameshift Cadence Score.png\|thumb\|Score for the above sample of the Frameshift progression in 159edo.]]		[[File:Frameshift Cadence Score.png\|thumb\|Score for the above sample of the Frameshift progression in 159edo.]]
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	== See also ==		== See also ==
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
			* [[Frameshift microtemperaments]]

	[[Category:Alpharabian]]		[[Category:Alpharabian]]

Aura: moved the location of the category marker

2025-06-02T17:35:07Z

moved the location of the category marker

← Older revision		Revision as of 17:35, 2 June 2025
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	[[Category:Pythrabian]]		[[Category:Pythrabian]]
	[[Category:Frameshift]]		[[Category:Frameshift]]
			[[Category:Chord progressions]]
	[[Category:Commas named for their regular temperament properties]]		[[Category:Commas named for their regular temperament properties]]
	~~[[Category:Chord progressions]]~~

Aura at 17:34, 2 June 2025

2025-06-02T17:34:29Z

← Older revision		Revision as of 17:34, 2 June 2025
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	The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.11 subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[frameshift microtemperaments\|frameshift microtemperament]], and such temperaments are known to be associated with higher-accuracy systems.		The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.11 subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[frameshift microtemperaments\|frameshift microtemperament]], and such temperaments are known to be associated with higher-accuracy systems.

	== Frameshift ~~cadence~~ ==		== Frameshift progression ==

	The name of the frameshift comma is even more appropriate in light of the fact that when one tempers out this comma, one can move stepwise to 11/8 though a series of four motions by the apotome and one motion by [[128/121]]- all rather typical-sounding semitone-based motions- with this gesture forming the basis of what has since been dubbed the '''frameshift ~~cadence~~'''- a cadence which shifts a listener's perception of pitch relations such that a modulation to 11/8 sounds in tune. ~~[[Category:Chord progressions]]~~		The name of the frameshift comma is even more appropriate in light of the fact that when one tempers out this comma, one can move stepwise to 11/8 though a series of four motions by the apotome and one motion by [[128/121]]- all rather typical-sounding semitone-based motions- with this gesture forming the basis of what has since been dubbed the '''frameshift progression'''- a cadence which shifts a listener's perception of pitch relations such that a modulation to 11/8 sounds in tune.

	[[File:Frameshift Cadence.mp3\|thumb\|Sample of the Frameshift ~~cadence~~ as it appears in [[159edo]].]]		[[File:Frameshift Cadence.mp3\|thumb\|Sample of the Frameshift progression as it appears in [[159edo]].]]

	[[File:Frameshift Cadence Score.png\|thumb\|Score for the above sample of the Frameshift ~~cadence~~ in 159edo.]]		[[File:Frameshift Cadence Score.png\|thumb\|Score for the above sample of the Frameshift progression in 159edo.]]

	== See also ==		== See also ==
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	[[Category:Frameshift]]		[[Category:Frameshift]]
	[[Category:Commas named for their regular temperament properties]]		[[Category:Commas named for their regular temperament properties]]
			[[Category:Chord progressions]]

BudjarnLambeth: /* Frameshift cadence */ add category

2025-06-02T05:01:10Z

Frameshift cadence: add category

← Older revision		Revision as of 05:01, 2 June 2025
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	== Frameshift cadence ==		== Frameshift cadence ==

	The name of the frameshift comma is even more appropriate in light of the fact that when one tempers out this comma, one can move stepwise to 11/8 though a series of four motions by the apotome and one motion by [[128/121]]- all rather typical-sounding semitone-based motions- with this gesture forming the basis of what has since been dubbed the '''frameshift cadence'''- a cadence which shifts a listener's perception of pitch relations such that a modulation to 11/8 sounds in tune.		The name of the frameshift comma is even more appropriate in light of the fact that when one tempers out this comma, one can move stepwise to 11/8 though a series of four motions by the apotome and one motion by [[128/121]]- all rather typical-sounding semitone-based motions- with this gesture forming the basis of what has since been dubbed the '''frameshift cadence'''- a cadence which shifts a listener's perception of pitch relations such that a modulation to 11/8 sounds in tune. [[Category:Chord progressions]]

	[[File:Frameshift Cadence.mp3\|thumb\|Sample of the Frameshift cadence as it appears in [[159edo]].]]		[[File:Frameshift Cadence.mp3\|thumb\|Sample of the Frameshift cadence as it appears in [[159edo]].]]

BudjarnLambeth at 23:54, 3 November 2024

2024-11-03T23:54:16Z

← Older revision		Revision as of 23:54, 3 November 2024
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	[[Category:Pythrabian]]		[[Category:Pythrabian]]
	[[Category:Frameshift]]		[[Category:Frameshift]]
			[[Category:Commas named for their regular temperament properties]]

Aura at 21:09, 13 February 2023

2023-02-13T21:09:04Z

← Older revision		Revision as of 21:09, 13 February 2023
Line 6:		Line 6:
	}}		}}

	The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.11 subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[frameshift microtemperaments\|frameshift microtemperament]].		The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.11 subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[frameshift microtemperaments\|frameshift microtemperament]], and such temperaments are known to be associated with higher-accuracy systems.

	== Frameshift cadence ==		== Frameshift cadence ==

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:36:37Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:36, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 22876792454961/22866405883904		\| Ratio = 22876792454961/22866405883904
	~~\| Monzo = -34 28 0 0 -3~~
	~~\| Cents = 0.7862~~
	\| Name = frameshift comma		\| Name = frameshift comma
	\| Color name = Quadla-trilu comma		\| Color name = Quadla-trilu comma
	\| ~~FJS name =~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}

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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]

	~~[[Category:11-limit]]~~
	~~[[Category:Unnoticeable commas]]~~
	[[Category:Alpharabian]]		[[Category:Alpharabian]]
	[[Category:Pythrabian]]		[[Category:Pythrabian]]
	[[Category:Frameshift]]		[[Category:Frameshift]]

Aura at 19:50, 25 June 2022

2022-06-25T19:50:33Z

← Older revision		Revision as of 19:50, 25 June 2022
Line 10:		Line 10:
	}}		}}

	The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.11 subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[frameshift microtemperament]].		The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.11 subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[frameshift microtemperaments\|frameshift microtemperament]].

	== Frameshift cadence ==		== Frameshift cadence ==

Aura at 16:59, 25 June 2022

2022-06-25T16:59:28Z

← Older revision		Revision as of 16:59, 25 June 2022
Line 10:		Line 10:
	}}		}}

	The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.11 subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[~~Frameshift~~ microtemperament]].		The '''frameshift comma''' is an [[unnoticeable comma\|unnoticeable]] [[11-limit]] comma- specifically of the 2.3.11 subgroup- with a complicated ratio of 22876792454961/22866405883904, and a size of roughly 0.79 [[cent]]s. It is the interval separating the [[Rastma]] from the [[Pythrabian comma]], as well as the amount by which an octave-reduced stack of three [[11/8]] intervals falls short of a stack of four [[apotome]]s. Since both the Rastmic and Pythrabian temperaments are ways of conceptualizing how the 11-prime relates to the 3-prime within the 2.3.11 subgroup, that means that these two distinct frameworks for viewing the 11-prime relative to the 3-prime become linked when 22876792454961/22866405883904 is tempered out- hence the name "frameshift" comma. Naturally, tempering out this comma results in some form of [[frameshift microtemperament]].

	== Frameshift cadence ==		== Frameshift cadence ==