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That is, when the first goes up, the second goes down the same number of diatonic steps (with some chromatic alteration); and when the first goes down, the second goes up the same number of steps. In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of ...
Thematic transformation (also known as thematic metamorphosis or thematic development) is a musical technique in which a leitmotif, or theme, is developed by changing the theme by using permutation (transposition or modulation, inversion, and retrograde), augmentation, diminution, and fragmentation. It was primarily developed by Franz Liszt and ...
Gordon music learning theory. Gordon music-learning theory is a model for music education based on Edwin Gordon's research on musical aptitude and achievement in the greater field of music learning theory. [1][2] The theory is an explanation of music learning, based on audiation (see below) and students' individual musical differences.
In music, a transformation consists of any operation or process that may apply to a musical variable (usually a set or tone row in twelve tone music, or a melody or chord progression in tonal music), or rhythm in composition, performance, or analysis. Transformations include multiplication, rotation, permutation (i.e. transposition, inversion ...
The inverse of a given fragment of melody is the fragment turned upside down—so if the original fragment has a rising major third (see interval), the inverted fragment has a falling major (or perhaps minor) third, etc. (Compare, in twelve-tone technique, the inversion of the tone row, which is the so-called prime series turned upside down ...
Retrograde inversion is a musical term that literally means "backwards and upside down": "The inverse of the series is sounded in reverse order." [1] Retrograde reverses the order of the motif's pitches: what was the first pitch becomes the last, and vice versa. [2] This is a technique used in music, specifically in twelve-tone technique, where ...
Gestalt psychology serves as the foundation for many applications to music learning theory. Fred Lerdahl and Ray Jackendoff (1983) theorized on musical grammar based on Chomsky's linguistic theories, arguing that "acoustic information triggers mental operations that impose order onto input. If there is sufficient exposure to music, musical ...
American String Teachers. Association. v. t. e. The Kodály method, also referred to as the Kodály concept, is an approach to music education developed in Hungary during the mid-twentieth century by Zoltán Kodály. His philosophy of education served as inspiration for the method, which was then developed over a number of years by his associates.