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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
The all-interval twelve-tone row is a tone row arranged so that it contains one instance of each interval within the octave, 0 through 11. The "total chromatic" (or "aggregate") [13] is the set of all twelve pitch classes. An "array" is a succession of aggregates. [13] The term is also used to refer to lattices.
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.
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.
The Pyramid chord consists of every interval stacked, low to high, from 12 to 1 and while it contains all intervals, it does not contain all pitch classes and is thus not a tone row. Klein chose the name Mutterakkord in order to avoid a longer term such as all-interval twelve-tone row and because it is a chord which unites all other chords by ...
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