Akjaysma: Difference between revisions

The '''akjaysma''' ({{monzo|legend=1| 47 -7 -7 -7 }}) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] with a size of about 0.338 cents. It is the difference between a stack of seven [[105/64]]'s and five octaves.  

[[Tempering out]] this comma leads to the [[akjaysmic]] temperament, which splits the octave into 7 equal parts and maps the 105th harmonic to 5\7. For [[edo]]s ''N'' up to 37316, this comma is tempered out only if 7 divides ''N''. Examples are [[7edo]], [[77edo]], [[217edo]], [[224edo]], [[441edo]] and [[665edo]].

Akjaysmic can be further tempered to a number of rank-2 temperaments such as [[absurdity]], [[brahmagupta]], and [[neutron]], all of which also temper out ([[128/105]])/([[39/32]]) = [[4096/4095]] in the 13-limit.

In addition, akjaysma appears in temperaments whose period is a multiple of 7 (14, 21, 28, 35, etc.). However from a composer's standpoint it may not be the most prominent characterization of these temperaments due to a lot of inherent differences between multiples of 7edo. Tempering it out along with the [[landscape comma]] offers the aptly named 441 & 1407 [[akjayland]] temperament, that divides the octave into 21 parts.  

This comma was named by [[Aaron Krister Johnson]] in 2011 after himself<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99488.html Yahoo! Tuning Group | ''xenwiki comma update'']</ref>.

== References ==