Retrograde inversion
Encyclopedia
Retrograde inversion is a musical term
Musical terminology
This is a list of musical terms that are likely to be encountered in printed scores, music reviews, and program notes. Most of the terms are Italian , in accordance with the Italian origins of many European musical conventions. Sometimes, the special musical meanings of these phrases differ from...

 that literally means "backwards and upside down": "The inverse of the series is sounded in reverse order." This is a technique used in music, specifically in twelve-tone technique
Twelve-tone technique
Twelve-tone technique is a method of musical composition devised by Arnold Schoenberg...

, where the inversion and retrograde techniques are performed on the same tone row
Tone row
In music, a tone row or note row , also series and set, refers to a non-repetitive ordering of a set of pitch-classes, typically of the twelve notes in musical set theory of the chromatic scale, though both larger and smaller sets are sometimes found.-History and usage:Tone rows are the basis of...

 sucessively, "[t]he inversion of the prime series in reverse order from last pitch to first."

Conventionally, inversion is carried out first, and the inverted form is then taken backward to form the retrograde inversion, so that the untransposed retrograde inversion ends with the pitch that began the prime form of the series. In his late twelve-tone works, however, Igor Stravinsky
Igor Stravinsky
Igor Fyodorovich Stravinsky ; 6 April 1971) was a Russian, later naturalized French, and then naturalized American composer, pianist, and conductor....

 preferred the opposite order, so that his row charts use inverse retrograde (IR) forms for his source sets, instead of retrograde inversions (RI), although he sometimes labeled them RI in his sketches.

Other uses

Retrograde Inversion
Retrograde Inversion
Retrograde Inversion are a progressive rock/funk band from Haslemere, England. The band formed in 2003 as part of the Live and Direct Youth Scheme. The band's name is derived from the musical term Retrograde Inversion, meaning backwards and upside down....

 is also the name of a rock group from the south-east of England.
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