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  2. Time signature - Wikipedia

    en.wikipedia.org/wiki/Time_signature

    Paul Desmond's jazz composition "Take Five", in 5 4 time, was one of a number of irregular-meter compositions that The Dave Brubeck Quartet played. They played other compositions in 11 4 ("Eleven Four"), 7 4 ("Unsquare Dance"), and 9 8 ("Blue Rondo à la Turk"), expressed as 2+2+2+3 8. "Blue Rondo à la Turk" is an example of a signature that ...

  3. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    The lower note is a constant A (440 Hz in either scale), the upper note is a C ♯ in the equal-tempered scale for the first 1", and a C ♯ in the just intonation scale for the last 1". Phase differences make it easier to detect the transition than in the previous sample.

  4. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    For example, ⁠ 1 / 4 ⁠, ⁠ 5 / 6 ⁠, and ⁠ −101 / 100 ⁠ are all irreducible fractions. On the other hand, ⁠ 2 / 4 ⁠ is reducible since it is equal in value to ⁠ 1 / 2 ⁠, and the numerator of ⁠ 1 / 2 ⁠ is less than the numerator of ⁠ 2 / 4 ⁠. A fraction that is reducible can be reduced by dividing both the numerator ...

  5. Significand - Wikipedia

    en.wikipedia.org/wiki/Significand

    The significand [1] (also coefficient, [1] sometimes argument, [2] or more ambiguously mantissa, [3] fraction, [4] [5] [nb 1] or characteristic [6] [3]) is the first (left) part of a number in scientific notation or related concepts in floating-point representation, consisting of its significant digits. For negative numbers, it does not include ...

  6. Septuple meter - Wikipedia

    en.wikipedia.org/wiki/Septuple_meter

    In the last two of the five versions of "Promenade" from Pictures at an Exhibition by Modest Mussorgsky, 7 4 is mixed irregularly with other metres: (4th Promenade) 5 4, 6 4, and 7 4, with a single 3 4 bar at the end; (5th Promenade) four pairs of regularly alternating 5 4 and 6 4, then an irregular mixture of 5 4, 6 4, and 7 4 to the end. [17]

  7. Decimal - Wikipedia

    en.wikipedia.org/wiki/Decimal

    An example of a fraction that cannot be represented by a decimal expression (with a finite number of digits) is ⁠ 1 / 3 ⁠, 3 not being a power of 10. More generally, a decimal with n digits after the separator (a point or comma) represents the fraction with denominator 10 n, whose numerator is the integer obtained by removing the separator.

  8. Multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_inverse

    For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse (an involution).

  9. Quintuple meter - Wikipedia

    en.wikipedia.org/wiki/Quintuple_meter

    4 throughout (effectively 11 4) regular alternation of 5 4 and 6 4 until the final two bars, which are 5 4 and C; irregular mixture of 5 4, 6 4, and 7 4, with a single 3 4 bar at the end; four pairs of regularly alternating 5 4 and 6 4, then an irregular mixture of 5 4, 6 4, and 7 4 to the end. [68] The opening measures are shown below: