Frameshift comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 22876792454961/22866405883904 | | Ratio = 22876792454961/22866405883904 | ||
| Name = frameshift comma | |||
| Color name = Quadla-trilu comma | |||
| Name = | | Comma = yes | ||
| Color name = | |||
| | |||
}} | }} | ||
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. | |||
== 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.]] | |||
== | 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. 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. | |||
[[Category:Alpharabian]] | [[Category:Alpharabian]] | ||
[[Category:Pythrabian]] | [[Category:Pythrabian]] | ||
[[Category:Frameshift]] | [[Category:Frameshift]] | ||
[[Category:Chord progressions]] | |||
[[Category:Commas named for their regular temperament properties]] | |||
Latest revision as of 07:48, 17 September 2026
| Interval information |
The frameshift comma is an unnoticeable 11-limit (2.3.11) comma. It is the difference between:
- Four Pythagorean apotomes and 1331/1024;
- The rastma and the pythrabian comma;
- The gamelisma and three symbiotic commas.
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).
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.