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  2. Harmonic Materials of Modern Music - Wikipedia

    en.wikipedia.org/wiki/Harmonic_Materials_of...

    Harmonic Materials of Modern Music is a book on musical set theory by American composer Howard Hanson that overlaps significantly with composer Elliott Carter's Harmony Book and theorist Allen Forte's subsequent Structure of Atonal Music. Published in 1960, Hanson's theory was one of the first to examine all sets of pitches in terms of their ...

  3. Melharmony - Wikipedia

    en.wikipedia.org/wiki/Melharmony

    Melharmony has been defined as "harmony and vertical layers of music with an emphasis on the rules and principles of highly evolved melodic systems". [3] It was initially seen as a unique classical fusion engaging Western and Indian classical systems, [4] though it has subsequently also been a synthesis of melodic rules of India's classical music with jazz, Brazilian and other world cultures.

  4. Implication-Realization - Wikipedia

    en.wikipedia.org/wiki/Implication-Realization

    The Implication-Realization (I-R) model of melodic expectation was developed by Eugene Narmour as an alternative to Schenkerian analysis centered less on music analysis and more on cognitive aspects of expectation. The model is one of the most significant modern theories of melodic expectation, going into great detail about how certain melodic ...

  5. Riemannian theory - Wikipedia

    en.wikipedia.org/wiki/Riemannian_theory

    His theoretical writings cover many topics, including musical logic, [1] notation, [2] harmony, [3] melody, [4] phraseology, [5] the history of music theory, [6] etc. More particularly, the term Riemannian theory often refers to his theory of harmony, characterized mainly by its dualism and by a concept of harmonic functions .

  6. Music theory - Wikipedia

    en.wikipedia.org/wiki/Music_theory

    A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice. Oxford Studies in Music Theory. Oxford and New York: Oxford University Press. ISBN 978-0195336672. West, Martin Litchfield (1994). "The Babylonian Musical Notation and the Hurrian Melodic Texts". Music & Letters 75, no. 2 (May): 161–179; Wu, Zhao (吴钊) (1991).

  7. Harmonization - Wikipedia

    en.wikipedia.org/wiki/Harmonization

    In music, harmonization is the chordal accompaniment to a line or melody: "Using chords and melodies together, making harmony by stacking scale tones as triads". [2] A harmonized scale can be created by using each note of a musical scale as a root note for a chord and then by taking other tones within the scale building the rest of a chord. [3]

  8. Quartal and quintal harmony - Wikipedia

    en.wikipedia.org/wiki/Quartal_and_quintal_harmony

    The indifference of this rootless harmony to tonality places the burden of key verification upon the voice with the most active melodic line. [2] Quintal harmony (the harmonic layering of fifths specifically) is a lesser-used term, and since the fifth is the inversion or complement of the fourth, it is usually considered indistinct from quartal ...

  9. Pythagorean hammers - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_hammers

    The legend is, at least with respect to the hammers, demonstrably false. It is probably a Middle Eastern folk tale. [2] These proportions are indeed relevant to string length (e.g. that of a monochord) — using these founding intervals, it is possible to construct the chromatic scale and the basic seven-tone diatonic scale used in modern music, and Pythagoras might well have been influential ...