Igor StravinskyIgor Fyodorovich Stravinsky ( 6 April 1971) was a Russian composer and conductor with citizenship in France (from 1934) and the United States (from 1945). He is widely considered one of the most important and influential composers of the 20th century and a pivotal figure in modernist music. Stravinsky's father was an established bass opera singer, and Stravinsky grew up taking piano and music theory lessons. While studying law at the University of Saint Petersburg, he met Nikolai Rimsky-Korsakov and studied under him until Rimsky-Korsakov's death in 1908.
HarmonyIn music, harmony is the process by which individual sounds are joined or composed into whole units or compositions. More concretely, harmony often refers to the effects created by distinct musical pitches or tones coinciding with one another. These effects are variously identified, defined, and categorized as harmonic objects like chords, textures and tonalities. Harmony is broadly understood to involve both a "vertical" dimension (frequency-space) and a "horizontal" dimension (time-space), and often overlaps with related musical concepts such as melody, timbre, and form.
Consonance and dissonanceIn music, consonance and dissonance are categorizations of simultaneous or successive sounds. Within the Western tradition, some listeners associate consonance with sweetness, pleasantness, and acceptability, and dissonance with harshness, unpleasantness, or unacceptability, although there is broad acknowledgement that this depends also on familiarity and musical expertise. The terms form a structural dichotomy in which they define each other by mutual exclusion: a consonance is what is not dissonant, and a dissonance is what is not consonant.
Pitch classIn music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves. "The pitch class C stands for all possible Cs, in whatever octave position." Important to musical set theory, a pitch class is "all pitches related to each other by octave, enharmonic equivalence, or both." Thus, using scientific pitch notation, the pitch class "C" is the set {Cn : n is an integer} = {..., C−2, C−1, C0, C1, C2, C3 ...}.
Alban BergAlban Maria Johannes Berg (bɛərg , ˈalbaːn ˈbɛʁk; 9 February 1885 – 24 December 1935) was an Austrian composer of the Second Viennese School. His compositional style combined Romantic lyricism with the twelve-tone technique. Although he left a relatively small oeuvre, he is remembered as one of the most important composers of the 20th century for his expressive style encompassing "entire worlds of emotion and structure". Berg was born and lived in Vienna. He began to compose only at the age of fifteen.
Musical analysisMusical analysis is the study of musical structure in either compositions or performances. According to music theorist Ian Bent, music analysis "is the means of answering directly the question 'How does it work?'". The method employed to answer this question, and indeed exactly what is meant by the question, differs from analyst to analyst, and according to the purpose of the analysis. According to Bent, "its emergence as an approach and method can be traced back to the 1750s.
Elements of musicMusic can be analysed by considering a variety of its elements, or parts (aspects, characteristics, features), individually or together. A commonly used list of the main elements includes pitch, timbre, texture, volume, duration, and form. The elements of music may be compared to the elements of art or design. According to Howard Gardner, there is little dispute about the principal constituent elements of music, though experts differ on their precise definitions.
Paul HindemithPaul Hindemith ('paʊl 'hɪndəmɪt, powl HIN-deh-mitt; 16 November 1895 - 28 December 1963) was a German composer, music theorist, teacher, violist and conductor. He founded the Amar Quartet in 1921, touring extensively in Europe. As a composer, he became a major advocate of the Neue Sachlichkeit (New Objectivity) style of music in the 1920s, with compositions such as Kammermusik, including works with viola and viola d'amore as solo instruments in a neo-Bachian spirit.
Gustav MahlerGustav Mahler (ˈɡʊstaf ˈmaːlɐ; 7 July 1860 – 18 May 1911) was an Austro-Bohemian Romantic composer, and one of the leading conductors of his generation. As a composer he acted as a bridge between the 19th-century Austro-German tradition and the modernism of the early 20th century. While in his lifetime his status as a conductor was established beyond question, his own music gained wide popularity only after periods of relative neglect, which included a ban on its performance in much of Europe during the Nazi era.
Set theory (music)Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts for analyzing tonal music. Other theorists, such as Allen Forte, further developed the theory for analyzing atonal music, drawing on the twelve-tone theory of Milton Babbitt. The concepts of musical set theory are very general and can be applied to tonal and atonal styles in any equal temperament tuning system, and to some extent more generally than that.
