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He recorded several renderings of 20th century music, such as from Schoenberg (Pierrot Lunaire, Erwartung), Varèse, Messiaen, and contemporary American composers (e.g., Elliott Carter, Stefan Wolpe, and George Crumb), mostly with the Contemporary Chamber Ensemble, the Orchestra of the 20th Century, and the Ensemble 21.
Fred Lerdahl's "Cognitive Constraints on Compositional Systems" cites Pierre Boulez's Le Marteau sans Maître (1955) as an example of "a huge gap between compositional system and cognized result," though he "could have illustrated just as well with works by Milton Babbitt, Elliott Carter, Luigi Nono, Karlheinz Stockhausen, or Iannis Xenakis".
These include his solo recordings of Charles Ives' Concord Sonata and sonatas of Joseph Haydn, vocal music with Jan DeGaetani and landmarks of the 20th century by composers such as Elliott Carter, George Crumb, Ralph Shapey and Arnold Schoenberg.
In the United States and abroad, he has premiered and recorded works of many contemporary composers, including Charles Wuorinen, Milton Babbitt, Elliott Carter, Lasse Thoresen, Gerard Grisey, Jonathan Dawe, Tristan Murail, Ralph Shapey, Luigi Nono, Mario Davidovsky, and Wolfgang Rihm.
Totally 56 Nanosonatas had been composed, afterwards, and dedicated to his families and friends, such as Elliott Carter and Pete Seeger.
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Nanosonata No. 28 “It can be done!” (November 12. 2008) (To Elliott Carter and Pete Seeger)
Many composers have written works for Hodges to perform, notably Elliott Carter (Dialogues for Piano and Orchestra, 2003), Salvatore Sciarrino, James Clarke, Michael Finnissy, and Konrad Boehmer.
With the orchestra, as Principal Music Advisor for Leicestershire, he embarked upon a series of tours throughout Europe, and as a group they became known for the quality of their performances of Gustav Mahler, Dmitri Shostakovich, Messaien, Charles Ives, Michael Tippett, Elliott Carter, Douglas Young, Iannis Xenakis and other 20th-century composers.
Drury has performed and recorded a range of compositions by classical and contemporary composers including Igor Stravinsky, Charles Ives, John Cage, Frederic Rzewski, Elliott Carter, and John Zorn.
She has appeared in the world premieres of several operas at the Netherlands Opera including Louis Andriessen and Peter Greenaway's Writing to Vermeer and Claude Vivier's Reves d'un Marco Polo as well as in Elliott Carter's What Next?
In 2001, she played a recital at the Purcell Room where her ambitious programme included Elliott Carter's Night Fantasies, two György Ligeti Études and Hafliði Hallgrímsson's Homage to Mondrian.