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Gordon says that audiation occurs when an individual is "listening to, recalling, performing, interpreting, creating, improvising, reading, or writing music". [10] While listening to music, audiation is analogous to the simultaneous translation of languages, giving meaning to sound and music based on individual knowledge and experience.
A false sequence is a literal repetition of the beginning of a figure and stating the rest in sequence: [1] J.S. Bach Prelude from Cello Suite in G J.S. Bach Prelude from Cello Suite in G, BWV 1007. A modulating sequence is a sequence that leads from one tonal center to the next, with each segment technically being in a different key in some ...
For example, the root of chord ii, if tuned to a fifth above the dominant, would be a major whole tone (9:8) above the tonic. If tuned a just minor third (6:5) below a just subdominant degree of 4:3, however, the interval from the tonic would equal a minor whole tone (10:9). Meantone temperament reduces the difference between 9:8 and 10:9.
The ordered sequence C-C ♯-D would be notated 0,1,2 or (0,1,2). Although C is considered zero in this example, this is not always the case. For example, a piece (whether tonal or atonal) with a clear pitch center of F might be most usefully analyzed with F set to zero (in which case {0,1,2} would represent F, F ♯ and G.
A possible reason for this broader usage of terms "tonality" and "tonal" is the attempt to translate German "Tonart" as "tonality" and "Tonarten-" prefix as "tonal" (for example, it is rendered so in the seminal New Grove article "Mode", [61] etc.). Therefore, two different German words "Tonart" and "Tonalität" have sometimes been translated ...
Atonality in its broadest sense is music that lacks a tonal center, or key. [1] Atonality, in this sense, usually describes compositions written from about the early 20th-century to the present day, where a hierarchy of harmonies focusing on a single, central triad is not used, and the notes of the chromatic scale function independently of one another. [2]
This test used melodic sequences in a pitch memory test that is formed on the delayed-tone recognition paradigm. [9] The results of the test showed that many factors such as interference tone, degree of tonality, and tonal fitness of comparison tone showed to be a key factor in how listeners performed in the task. [9]
The Mandelbrot set, one of the most famous examples of mathematical visualization. Mathematical phenomena can be understood and explored via visualization. Classically, this consisted of two-dimensional drawings or building three-dimensional models (particularly plaster models in the 19th and early 20th century).
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