Frameshift comma: Difference between revisions

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The '''frameshift comma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (2.3.11) comma. It is the difference between:

* Four [[Pythagorean apotome]]s and [[1331/1024]];

* The [[243/242|rastma]] and the [[pythrabian comma]];

* The [[gamelisma]] and three [[symbiotic comma]]s.

~~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.~~

== Temperaments ==

[[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.]]

~~== Frameshift cadence ==~~

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).

~~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~~]]

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.

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

== 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 Score.png|thumb|Score~~ for the ~~above sample of~~ the ~~Frameshift cadence in 159edo~~.]]

~~== See also ==~~

* [[Unnoticeable comma]]

[[Category:Alpharabian]]

[[Category:Pythrabian]]

[[Category:Frameshift]]

[[Category:Chord progressions]]

[[Category:Commas named for their regular temperament properties]]

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+The '''frameshift comma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (2.3.11) comma. It is the difference between:
+* Four [[Pythagorean apotome]]s and [[1331/1024]];
+* The [[243/242|rastma]] and the [[pythrabian comma]];
+* The [[gamelisma]] and three [[symbiotic comma]]s.
-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.
+== Temperaments ==
+[[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.]]
-== Frameshift cadence ==
+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).
-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]]
+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.
-[[File:Frameshift Cadence.mp3|thumb|Sample of the Frameshift cadence as it appears in [[159edo]].]]
+== 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 Score.png|thumb|Score for the above sample of the Frameshift cadence in 159edo.]]
-== See also ==
-* [[Unnoticeable comma]]
 [[Category:Alpharabian]]
 [[Category:Pythrabian]]
 [[Category:Frameshift]]
+[[Category:Chord progressions]]
 [[Category:Commas named for their regular temperament properties]]