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  2. Circle of fifths - Wikipedia

    en.wikipedia.org/wiki/Circle_of_fifths

    In music theory, the circle of fifths (sometimes also cycle of fifths) is a way of organizing pitches as a sequence of perfect fifths. Starting on a C, and using the standard system of tuning for Western music (12-tone equal temperament), the sequence is: C, G, D, A, E, B, F ♯ /G ♭, C ♯ /D ♭, G ♯ /A ♭, D ♯ /E ♭, A ♯ /B ♭, F ...

  3. Sequence (music) - Wikipedia

    en.wikipedia.org/wiki/Sequence_(music)

    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 ...

  4. List of set classes - Wikipedia

    en.wikipedia.org/wiki/List_of_set_classes

    This is a list of set classes, by Forte number. [1] A set class (an abbreviation of pitch-class-set class) in music theory is an ascending collection of pitch classes, transposed to begin at zero. For a list of ordered collections, see: list of tone rows and series. Sets are listed with links to their complements. The prime form of ...

  5. Forte number - Wikipedia

    en.wikipedia.org/wiki/Forte_number

    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 ...

  6. List of integer sequences - Wikipedia

    en.wikipedia.org/wiki/List_of_integer_sequences

    A number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. A046758: Extravagant numbers: 4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30, 33, 34, 36, 38, ... A number that has fewer digits than the number of digits in its prime factorization (including ...

  7. Arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_progression

    Computation of the sum 2 + 5 + 8 + 11 + 14. When the sequence is reversed and added to itself term by term, the resulting sequence has a single repeated value in it, equal to the sum of the first and last numbers (2 + 14 = 16). Thus 16 × 5 = 80 is twice the sum.

  8. Tonic (music) - Wikipedia

    en.wikipedia.org/wiki/Tonic_(music)

    In music, the tonic is the first scale degree of the diatonic scale (the first note of a scale) and the tonal center or final resolution tone [1] that is commonly used in the final cadence in tonal (musical key-based) classical music, popular music, and traditional music. In the movable do solfège system, the tonic note is sung as do.

  9. Tonal system - Wikipedia

    en.wikipedia.org/wiki/Tonal_System

    The tonal system is a base 16 system of notation (predating the widespread use of hexadecimal in computing), arithmetic, and metrology proposed in 1859 by John W. Nystrom. [1] In addition to new weights and measures, his proposal included a new calendar with sixteen months, a new system of coinage , and a clock with sixteen major divisions of ...

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