875/864: Difference between revisions

| Color name = zy³1, zotriyo 1sn, <br>Zotriyo comma

'''875/864''', the '''keema''', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 21.9 [[cent]]s. It marks the difference between the [[7/4|septimal minor seventh (7/4)]] and a stack of three [[6/5|just minor thirds (6/5)]], or between a [[27/14|septimal major seventh (27/14)]] and a stack of three [[5/4|just major thirds (5/4)]]. It is also the sum of [[245/243]] and [[225/224]], the sum of [[100/99]] and [[385/384]], the sum of [[105/104]] and [[325/324]], and the difference between [[49/48]] and [[126/125]].  

== Temperaments ==

Tempering it out leads to the [[supermagic]] temperament. See [[Keemic family]] for the rank-3 temperament family where it is tempered out. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

 

This comma was first named as ''supermagic'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[superkleismic]]'' and ''[[magic]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>, hence the name of the corresponding rank-3 temperament. It is not clear how it later became ''keema'', but the root of ''keema'' is obvious, being a contraction of ''[[keemun]]'' and ''magic''.