Frameshift comma: Difference between revisions

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| Comma = yes

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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.

* 4 [[~~Apotome~~|~~apotomes]] and [~~[~~1331/1024]]~~

== Temperaments ==

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

[[File:Frameshift Cadence.mp3|thumb|Frameshift progression sample in [[159edo]].]]

* The [[~~gamelisma]] and 3 [[Symbiotic comma~~|~~symbiotic commas~~]]

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

~~== 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. If both rastma and pythrabian comma are tempered out, this results in [[41edo]] – a trivial tuning of frameshift.

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]].]]~~

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 progression in 159edo.]]~~

~~== See also ==~~

* [[Unnoticeable comma]]

* [[Frameshift microtemperaments]]

[[Category:Alpharabian]]

@@ Line 5: / Line 5: @@
 | Comma = yes
 }}
 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.
-* 4 [[Apotome|apotomes]] and [[1331/1024]]
+== Temperaments ==
-* The [[243/242|rastma]] and the [[pythrabian comma]]
+[[File:Frameshift Cadence.mp3|thumb|Frameshift progression sample in [[159edo]].]]
-* The [[gamelisma]] and 3 [[Symbiotic comma|symbiotic commas]]
+[[File:Frameshift Cadence Score.png|thumb|Score for the above sample of the Frameshift progression in 159edo.]]
-== 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. If both rastma and pythrabian comma are tempered out, this results in [[41edo]] – a trivial tuning of frameshift.
-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]].]]
+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 progression in 159edo.]]
-== See also ==
-* [[Unnoticeable comma]]
-* [[Frameshift microtemperaments]]
 [[Category:Alpharabian]]