875/864: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = keema | | Name = keema | ||
| Color name = zy<sup>3</sup>1, zotriyo 1sn,<br> | | Color name = zy<sup>3</sup>1, zotriyo 1sn, <br>Zotriyo comma | ||
Zotriyo comma | |||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''875/864''', the '''keema''', is a [[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]] | '''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. | |||
== Etymology == | |||
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''. | |||
== Notes == | |||
[[Category:Keemic]] | [[Category:Keemic]] | ||
Revision as of 12:06, 2 January 2024
| Interval information |
Zotriyo comma
875/864, the keema, is a small 7-limit comma measuring about 21.9 cents. It marks the difference between the septimal minor seventh (7/4) and a stack of three just minor thirds (6/5), or between a septimal major seventh (27/14) and a stack of three 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.
Etymology
This comma was first named as supermagic by Gene Ward Smith in 2005 as a contraction of superkleismic and magic[1], 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.