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Some theorists use angle brackets to denote ordered sequences, [7] while others distinguish ordered sets by separating the numbers with spaces. [8] Thus one might notate the unordered set of pitch classes 0, 1, and 2 (corresponding in this case to C, C ♯, and D) as {0,1,2}. The ordered sequence C-C ♯-D would be notated 0,1,2 or (0,1,2 ...
A false sequence is a literal repetition of the beginning of a figure and stating the rest in sequence: [1] J.S. Bach Prelude from Cello Suite in G J.S. Bach Prelude from Cello Suite in G, BWV 1007. A modulating sequence is a sequence that leads from one tonal center to the next, with each segment technically being in a different key in some ...
Double the harmonic number means double the frequency (which sounds an octave higher). An illustration in musical notation of the harmonic series (on C) up to the 20th harmonic. The numbers above the harmonic indicate the difference – in cents – from equal temperament (rounded to the nearest integer). Blue notes are very flat and red notes ...
In musical set theory, a Forte number is the pair of numbers Allen Forte assigned to the prime form of each pitch class set of three or more members in The Structure of Atonal Music (1973, ISBN 0-300-02120-8). The first number indicates the number of pitch classes in the pitch class set and the second number indicates the set's sequence in ...
The basic open sets of the product topology are cylinder sets.These can be characterized as: If any finite set of natural number coordinates I={i} is selected, and for each i a particular natural number value v i is selected, then the set of all infinite sequences of natural numbers that have value v i at position i is a basic open set.
While it is possible to construct equal temperament scale with any number of notes (for example, the 24-tone Arab tone system), the most common number is 12, which makes up the equal-temperament chromatic scale. In western music, a division into twelve intervals is commonly assumed unless it is specified otherwise.
Undertone series on C. [1] In music, the undertone series or subharmonic series is a sequence of notes that results from inverting the intervals of the overtone series.While overtones naturally occur with the physical production of music on instruments, undertones must be produced in unusual ways.
The composer then picks out this vertical quartal harmony in a horizontal sequence of fourths from the horns, eventually leading to a passage of triadic quartal harmony (i.e., chords of three notes, each layer a fourth apart). [citation needed] Schoenberg was also one of the first to write on the theoretical consequences of this harmonic ...