Frameshift comma: Difference between revisions

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{{Infobox Interval

~~| JI glyph =~~

| Ratio = 22876792454961/22866405883904

~~| Monzo = -34 28 0 0 -3~~

| Name = frameshift comma

~~| Cents = 0.7862~~

| Color name = Quadla-trilu comma

| Name = ~~Frameshift~~ comma

| Comma = yes

| Color name =

| ~~FJS name =~~

~~| Sound~~ =

}}

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- a name ~~which~~ is even more appropriate in light of the fact that when one tempers out this comma, one can ~~effectively modulate~~ to 11/8 though a series of ~~five,~~ rather typical-sounding semitone-based motions- ~~thus shifting~~ a listener's perception of pitch relations. ~~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]], and such temperaments are known to be associated with higher-accuracy systems.

== 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 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 progression as it appears in [[159edo]].]]

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

== See also ==

* [[Unnoticeable comma]]

~~[[Category:11-limit]]~~

~~[[Category:Unnoticeable comma]]~~

[[Category:Alpharabian]]

[[Category:Pythrabian]]

[[Category:Frameshift]]

[[Category:Chord progressions]]

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| JI glyph =
 | Ratio = 22876792454961/22866405883904
-| Monzo = -34 28 0 0 -3
+| Name = frameshift comma
-| Cents = 0.7862
+| Color name = Quadla-trilu comma
-| Name = Frameshift comma
+| Comma = yes
-| Color name =
-| FJS name =
-| Sound =
 }}
-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- a name which is even more appropriate in light of the fact that when one tempers out this comma, one can effectively modulate to 11/8 though a series of five, rather typical-sounding semitone-based motions- thus shifting a listener's perception of pitch relations.  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]], and such temperaments are known to be associated with higher-accuracy systems.
+== 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 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 progression as it appears in [[159edo]].]]
+[[File:Frameshift Cadence Score.png|thumb|Score for the above sample of the Frameshift progression in 159edo.]]
 == See also ==
 * [[Unnoticeable comma]]
-[[Category:11-limit]]
-[[Category:Unnoticeable comma]]
 [[Category:Alpharabian]]
 [[Category:Pythrabian]]
 [[Category:Frameshift]]
+[[Category:Chord progressions]]
+[[Category:Commas named for their regular temperament properties]]