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This is a technique used in music, specifically in twelve-tone technique, where the inversion and retrograde techniques are performed on the same tone row successively, "[t]he inversion of the prime series in reverse order from last pitch to first." [3] Basic row forms from Stravinsky's Requiem Canticles: [4] P R I IR
In contradistinction, Antoine Busnois and Jacob Obrecht, used retrograde and other permutations extensively, suggesting familiarity with one another's compositional techniques. [16] Todd also notes that, by use of retrograde, inversion, and retrograde-inversion, composers of this time viewed music in a way similar to serialists of the 20th century.
In twelve-tone technique, the inversion of a tone row is one of its four traditional permutations (the others being the prime form, the retrograde, and the retrograde inversion). These four permutations (labeled p rime, r etrograde, i nversion, and r etrograde i nversion) for the tone row used in Arnold Schoenberg 's Variations for Orchestra ...
To receive the retrograde of any given prime, the numbers are simply rewritten backwards. To receive the inversion of any prime, each number value is subtracted from 12 and the resulting number placed in the corresponding matrix cell (see twelve-tone technique). The retrograde inversion is the values of the inversion numbers read backwards ...
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.
Inversion: The notes D–F–E–B can be reversed to B–E–F–D; this form of inversion is called retrograde. The upward intervals can become downward intervals and vice versa; this is the form that is properly called inversion. These two can be combined and the result can be transposed: these are inclusive rather than exclusive processes.
Here’s a list of things you should (and shouldn’t) attempt during Mercury retrograde: What to Do During Mercury Retrograde: Welcome the change of pace and give yourself permission to reflect ...
Transformations include multiplication, rotation, permutation (i.e. transposition, inversion, and retrograde), prolation (augmentation, diminution) and combinations thereof. Transformations may also be applied to simpler or more complex variables such as interval and spectrum or timbre.