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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.
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.
The Grandmother chord is an eleven-interval, twelve-note, invertible chord with all of the properties of the Mother chord. Additionally, the intervals are so arranged that they alternate odd and even intervals (counted by semitones) and that the odd intervals successively decrease by one whole-tone while the even intervals successively increase by one whole-tone. [13]
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
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
The row may be used to produce a set of intervals, or a composer may derive the row from a particular succession of intervals. A row that uses all of the intervals in their ascending form once is an all-interval row. In addition to permutations, the basic row may have some set of notes derived from it, which is used to create a new row.
What happens after an executive order is signed? After a president signs an executive order, the White House sends the document to the Office of the Federal Register, the executive branch's ...
The work is the earliest in which Schoenberg employs a row of "12 tones related only to one another" in every movement: [citation needed] the earlier 5 Stücke, Op. 23 (1920–23) employs a 12-tone row only in the final waltz movement, and the Serenade, Op. 24, uses a single row in its central Sonnet. The basic tone row of the suite consists of ...