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Andrews, H. K. 2001. "Whole-Tone Scale". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan. Antokoletz, Elliott. 1984. The Music of Béla Bartók: A Study of Tonality and Progression in Twentieth-Century Music. Berkeley and Los Angeles: University of California Press.
Tonality is the arrangement of pitches and / or chords of a musical work in a hierarchy of perceived relations, stabilities, attractions, and directionality.. In this hierarchy, the single pitch or the root of a triad with the greatest stability in a melody or in its harmony is called the tonic.
In music theory, the spiral array model is an extended type of pitch space. A mathematical model involving concentric helices (an "array of spirals"), it represents human perceptions of pitches, chords, and keys in the same geometric space. It was proposed in 2000 by Elaine Chew in her MIT doctoral thesis Toward a Mathematical Model of Tonality ...
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 ...
One voice slides down from 386 cents to 347, the other slides up from 0 cents to 32, yet the harmonic shift can be dramatic. The best-known example of tonality flux, and one of the two Partch uses as illustration, is the beginning of his composition The Letter, in which the kithara alternates between two chords, one major and one minor, with the minor third of one nestled inside the major ...
These distances reflect voice-leading only imperfectly. [9] For example, according to strains of neo-Riemannian theory that prioritize common-tone preservation, the C major triad is closer to F major than to F minor, since C major can be transformed into F major by R-then-L, while it takes three moves to get from C major to F minor (R-then-L ...
In the Schuman example (Three Score Set for Piano), the inversions of the chords suggest a bichordal effect. [ 3 ] In the example on the top right, we see a series of quartal chords in parallel motion, in which the intervallic relationship between each consecutive chord member, in this case a minor second , is consistent.
In music, the axis system is a system of analysis originating in the work of Ernő Lendvai, which he developed in his analysis of the music of Béla Bartók.. The axis system is "concerned with harmonic and tonal substitution", [1] and posits a novel type of functional relationship between tones and chords.