Editing Hemiola (section)

==Etymology==
The word ''hemiola'' comes from the Greek adjective ἡμιόλιος, ''hemiolios'', meaning "containing one and a half," "half as much again," "in the ratio of one and a half to one (3:2), as in musical sounds."<ref>[[Henry George Liddell]] and [[Robert Scott (philologist)|Robert Scott]], ''A Greek-English Lexicon'', 9th edition (Oxford: Clarendon Press, 1940).</ref> The words "hemiola" and "sesquialtera" both signify the ratio 3:2, and in music were first used to describe relations of pitch. Dividing the string of a [[monochord]] in this ratio produces the [[interval (music)|interval]] of a [[perfect fifth]]. Beginning in the 15th century, both words were also used to describe rhythmic relationships, specifically the substitution (usually through the use of [[Color (medieval music)#Coloration (mensural notation device)|coloration]]—red notes in place of black ones, or black in place of "white", hollow noteheads) of three [[Mensural notation#Proportions and colorations|imperfect]] notes (divided into two parts) for two perfect ones (divided into three parts) in ''tempus perfectum'' or in ''prolatio maior''.<ref name=Randel>[[Don Michael Randel]], "Hemiola, hemiolia", ''[[Harvard Dictionary of Music]]'', fourth edition. Cambridge: The Belknap Press of Harvard University Press, 2003, {{ISBN|978-0-674-01163-2}}</ref><ref name=Rushton>[[Julian Rushton]], "Hemiola [hemiolia]", ''[[The New Grove Dictionary of Music and Musicians]]'', second edition, edited by [[Stanley Sadie]] and [[John Tyrrell (musicologist)|John Tyrrell]]. London: Macmillan, 2001.</ref>