In concert music, with Esa-Pekka Salonen, she has sung Debussy's "Le martyre de Saint Sébastien" (Angel) with the Swedish Radio Orchestra and Mendelssohn's "A Midsummer Night's Dream" with the Los Angeles Philharmonic. Claycomb sang the world-premiere of Salonen's "Five Fragments After Sappho" with the composer conducting at the Ojai Festival, with the Los Angeles Philharmonic in Los Angeles, with the London Sinfonietta at the Queen Elizabeth Hall, and with Ensemble Sospeso at Carnegie Hall. She reprised the Sappho songs with Ensemble Modern in Japan on a program including Stravinsky's "Japanese Lyrics" and " Songs" with Dominique My conducting.