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A 12-tone row has hexachordal combinatoriality with another 12-tone row if their respective first (as well as second, because a 12-tone row itself forms an aggregate by definition) hexachords form an aggregate. There are four main types of combinatoriality. A hexachord may be: Prime combinatorial (transposition) Retrograde combinatorial
The twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition.The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded equally often in a piece of music while preventing the emphasis of any one note [3] through the use of tone rows, orderings of the 12 pitch classes.
D harmonic minor & in the inverted row-form added-sixth chord with both major and minor third : I: 0 t 9 7 5 4 1 8 6 2 4 e: P: 0 2 3 6 8 t 5 7 9 e 1 4: 2 1 3 2 2 5 2 2 2 2 3: Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 2 [18] 1940–41 6-34: 6-34: RI-symmetry I: 0 t 9 6 4 2 7 5 3 1 e 8: P: 0 2 4 5 8 t 6 7 9 e 1 3
This template is intended to provide a consistent and easy display for tone rows, in all forms: prime, retrograde, inverse, retrograde inversion, and inverse retrograde; and in all transpositions.
"Mirror forms", P, R, I, and RI, of a tone row (from Arnold Schoenberg's Variations for Orchestra Op. 31, "Called mirror forms because...they are identical". [1]In music, a tone row or note row (German: Reihe or Tonreihe), also series or set, [2] is a non-repetitive ordering of a set of pitch-classes, typically of the twelve notes in musical set theory of the chromatic scale, though both ...
In music using the twelve-tone technique, derivation is the construction of a row through segments. A derived row is a tone row whose entirety of twelve tones is constructed from a segment or portion of the whole, the generator. Anton Webern often used derived rows in his pieces. A partition is a segment created from a set through partitioning.
Virtually all published works after 1953 (exceptions include his Mass, and the twelve-tone technique used rarely follows Schoenberg's system) Karlheinz Stockhausen. Drei Lieder for alto voice and chamber orchestra, Nr. 1/10 (1950) [11] Sonatine, for violin and piano, Nr. ⅛ (1951) [12] Igor Stravinsky, works from 1952 forward: [13] Cantata (1952)
Twelve-tone serialism first appeared in the 1920s, with antecedents predating that decade (instances of 12-note passages occur in Liszt's Faust Symphony [29] and in Bach. [30]) Schoenberg was the composer most decisively involved in devising and demonstrating the fundamentals of twelve-tone serialism, though it is clear it is not the work of ...
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