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Second Viennese School Research Paper

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Serialism inspired composers of the 20th century to the prospect of new and innovative music. The Second Viennese School was group of composers including: Arnold Schoenberg, Berg, and Webern. These composers helped to develop and codify twelve-tone music. Twelve-tone music uses all 12 pitches of the chromatic scale without repeating notes to create music without a tonal center, where no single note is more important than any other. A tone row is created that helps to guide the composer in the selection of pitches. The composer chooses which 12 pitches he will use. The next step is to create a 12 X 12 grid of the pitches and place the first row of pitches in the top row. This makes it possible for the composer to keep the grid handy while composing and moving between consecutive pitches. …show more content…
Retrograde: Prime is reversed; the row moves from right to left.
Inversion: The row moves from top to bottom in the grid.
Retrograde Inversion: The row moves from the bottom to the top of the grid.
Once you have established a grid, you must number the rows from 0 to 12, starting with C. For example: C = 0, C# = 1, D = 2, D# = 3, E = 4, etc.
The numbering system makes it possible to refer to each form of the row such as "Inversion 4" or "Retrograde 4". Diagonal movement across a grid is not permitted, since a diagonal move will repeat pitches. In traditional twelve-tone, only the order of the notes is restricted, other musical elements such as rhythm, dynamics, register, and articulations are not. However, Integral serialism permits the restriction of these elements as well. Combinatoriality

Combinatoriality is the combination of two rows to create two sets. Any two sets of twelve-tone rows may be be split and combined, provided no pitches are repeated.
The following example show you two rows which combine to make a single set:
Row 1 Prime 4: E F G C# F# D# G# D B C A A#
Row 2 Inversion 11: B A# G# D A C G C# E D# F#

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