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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). [2] [3] As an example, the fraction ⁠ 8 / 5 ⁠ amounts to eight parts, each of which is of the ...

  3. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. ⁠ (3:2) 2 / 2 ⁠, the mean of the major third ⁠ (3:2) 4 / 4 ⁠, and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...

  4. Pythagorean interval - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_interval

    For instance, the perfect fifth with ratio 3/2 (equivalent to 3 1 / 2 1) and the perfect fourth with ratio 4/3 (equivalent to 2 2 / 3 1) are Pythagorean intervals. All the intervals between the notes of a scale are Pythagorean if they are tuned using the Pythagorean tuning system. However, some Pythagorean intervals are also used in other ...

  5. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.

  6. Mediant (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Mediant_(mathematics)

    However, if the fraction 1/1 is replaced by the fraction 2/2, which is an equivalent fraction denoting the same rational number 1, the mediant of the fractions 2/2 and 1/2 is 3/4. For a stronger connection to rational numbers the fractions may be required to be reduced to lowest terms, thereby selecting unique representatives from the ...

  7. List of Unicode characters - Wikipedia

    en.wikipedia.org/wiki/List_of_Unicode_characters

    2 Control-D has been used to signal "end of file" for text typed in at the terminal on Unix / Linux systems. Windows, DOS, and older minicomputers used Control-Z for this purpose. 3 Control-G is an artifact of the days when teletypes were in use. Important messages could be signalled by striking the bell on the teletype.

  8. 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 ...

  9. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    [1] [2] [3] Equal quotients correspond to equal ratios. A statement expressing the equality of two ratios is called a proportion . Consequently, a ratio may be considered as an ordered pair of numbers, a fraction with the first number in the numerator and the second in the denominator, or as the value denoted by this fraction.

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