Walter Hamor Piston, Jr. (January 20, 1894 – November 12, 1976), was an American composer of classical music, music theorist, and professor of music at Harvard University.
Walter Hamor Piston, Jr. (January 20, 1894 – November 12, 1976), was an American composer of classical music, music theorist, and professor of music at Harvard University.
A leading-tone triad is a triad built on the seventh scale degree in a major key (vii in Roman numeral analysis), while a leading-tone seventh chord is a seventh chord built on the seventh scale degree (vii). Walter Piston considers and notates vii as V
7, an incomplete dominant seventh chord. (For the Roman numeral notation of these chords, see Roman numeral analysis.)
In music theory, harmonic rhythm, also known as harmonic tempo, is the rate at which the chords change (or progress) in a musical composition, in relation to the rate of notes. Thus a passage in common time with a stream of sixteenth notes and chord changes every measure has a slow harmonic rhythm and a fast surface or "musical" rhythm (16 notes per chord change), while a piece with a trickle of half notes and chord changes twice a measure has a fast harmonic rhythm and a slow surface rhythm (1 note per chord change). Harmonic rhythm may be described as strong or weak.
According to William Russo harmonic rhythm is, "the duration of each different chord...in a succession of chords." According to Joseph Swain (2002 p. 4) harmonic rhythm, "is simply that perception of rhythm that depends on changes in aspects of harmony." According to Walter Piston (1944), "the rhythmic life contributed to music by means of the underlying changes of harmony. The pattern of the harmonic rhythm of a given piece of music, derived by noting the root changes as they occur, reveals important and distinctive features affecting the style and texture."
View the full Wikipedia page for Harmonic rhythmElliott Cook Carter Jr. (December 11, 1908 – November 5, 2012) was an American modernist composer who was one of the most respected composers of the second half of the 20th century. He combined elements of European modernism and American "ultra-modernism" into a distinctive style with a personal harmonic and rhythmic language, after an early neoclassical phase. His compositions are performed throughout the world, and include orchestral, chamber music, solo instrumental, and vocal works. Carter was the recipient of many awards – he was twice awarded the Pulitzer Prize for his string quartets. He also wrote the large-scale orchestral triptych Symphonia: sum fluxae pretium spei.
Carter was born in New York City. He developed an interest in modern music in the 1920s. He was later introduced to Charles Ives, and he soon came to appreciate the American ultra-modernists. After studying at Harvard University with Edward Burlingame Hill, Gustav Holst and Walter Piston, he studied with Nadia Boulanger in Paris in the 1930s, then returned to the United States. Carter was productive in his later years, publishing more than 40 works between the ages of 90 and 100, and over 20 more after he turned 100 in 2008. He completed his last work, Epigrams for piano trio, on August 13, 2012.
View the full Wikipedia page for Elliott Carter