Ear Training for Twentieth-century Music
Michael Friedmann's Ear Training for Twentieth-Century Music is a skills text; using non-tonal materials, students are asked to improvise at the keyboard, sing at sight, take dictation, memorize melodies by rote, and identify selected set classes by eye and ear.
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Sets of More Than Four Elements
axis Bartok best normal order Boosey & Hawkes class collections Interval collections Interval vector contains i(l Contour Class Debussy definition Diatonic subset different pitch class dyad melodies ear training Family hexachord identify interval content interval mod 12 inversionally symmetrical trichord Inversionally symmetrical Twelve Listen to ex modal interval mode Multiplicative melody musical examples normal order name octatonic scale ordered pitch interval pentatonic phrase element Pierrot lunaire pitch class collections pitch class interval pitch class numbers pitch class set pitch class space pitch class transposition pitch interval mod pitch space pitch transposition pitches or pitch played processes rehearsal number Schoenberg segmentation semitones set class type set types sight-singing Stravinsky String Quartet Superset group symmetrical Twelve different tetrachord tetrachordal set class three-note tonal transposition transpositionally Trichord subset content trichordal set class Twelve different pitch twentieth-century music two-note unordered pitch class unordered pitch interval violin Whole-tone group whole-tone scale Z-related