In the Cello Sonata (1948) the principles of metric modulation were well established.
Its bold innovation comes in Mr. Carter's use of what he called metric modulation, which he likened to shifting gears.
In fact, the Seventh Symphony crystallises a conspectus of a compositional technique that later composers like Elliott Carter, George Benjamin, and countless others, would employ: so called "metric modulation", in which you use a common unit of musical time to elide from one speed to another.
Alternative Titles: Elliot Cook Carter, Jr. Elliott Carter, in full Elliot Cook Carter, Jr., (born December 11 , 1908 New York, New York, U.S. died November 5, 2012, New York City), American composer, a musical innovator whose erudite style and novel principles of polyrhythm, called metric modulation, won worldwide attention.
(Meanwhile, blues and jazz composers were thinking about trains). The composer Elliott Carter, seeking new kinds of coherence for his abstruse harmonic formulations, propelled and energized his pieces with a technique inspired by African, Asian and medieval music: "metric modulation," the superimposition of complex cross-rhythms.
Elliott Carter combined a use of germinal motifs with a new rhythmic technique known as "metric modulation," a controlled change of metre foreshadowed in Brahms's work by such passages as the end of the Piano Concerto No. 2 in B-flat Major (1881).
Some pieces were based on vast polymetric grids, and all of them involved complex rhythmic gear-changes known as metric modulations.
The Kronos creates, among other things, whistles and chugs, and it oversees Mr. Reich's familiar style of repetitive figures in simple harmonic, not so simple metric, modulations.
For all its complexities (leaping double stops, metric modulations, rhythmic dislocations, long spans of sustained lyricism that get rashly interrupted by skittish figurations), the cello part has a rhapsodic, improvisatory quality.
The modulation metric is then computed as follows: D PCSI ( x k, y k | h ^ ) = log ( σ n 2 ) + | y k - Es h ^ x k | 2 σ n 2. Let C k = {c k 1,c k 2,…,c kM } be the k th data symbol associated to symbol x k.
HM fixed) first selects end-to-end paths based on the ETX metric and applies hierarchical modulation upon the paths.
