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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The entire fraction may be expressed as a single composition, in which case it is hyphenated, or as a number of fractions with a numerator of one, in which case they are not. (For example, "two-fifths" is the fraction ⁠ 2 / 5 ⁠ and "two fifths" is the same fraction understood as 2 instances of ⁠ 1 / 5 ⁠.) Fractions should always be ...

  3. Three-fifths Compromise - Wikipedia

    en.wikipedia.org/wiki/Three-Fifths_Compromise

    In the U.S. Constitution, the Three-fifths Compromise is part of Article 1, Section 2, Clause 3: . Representatives and direct Taxes shall be apportioned among the several States which may be included within this Union, according to their respective Numbers, which shall be determined by adding to the whole Number of free Persons, including those bound to Service for a Term of Years, and ...

  4. Division by two - Wikipedia

    en.wikipedia.org/wiki/Division_by_two

    An orange that has been sliced into two halves. In mathematics, division by two or halving has also been called mediation or dimidiation. [1] The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as one of its fundamental steps. [2]

  5. Kirnberger temperament - Wikipedia

    en.wikipedia.org/wiki/Kirnberger_temperament

    Kirnberger II temperament; −Z/2 marks a tempered fifth flattened by a half comma; −Sch marks a schisma. Kirnberger's first method of compensating for and closing the circle of fifths was to split the "wolf" interval, known to those who have used meantone temperaments, in half between two different fifths. That is, to compensate for the one ...

  6. Supermajority - Wikipedia

    en.wikipedia.org/wiki/Supermajority

    However, if a bill does not achieve the required three-fifths majority at one session without also being rejected, it must then be voted on at the next session even if less than three-fifths of legislators agree to do so. [34] Additionally, if the President vetoes a bill, the veto can be overridden by a two-thirds majority of legislators. [35]

  7. Meantone temperament - Wikipedia

    en.wikipedia.org/wiki/Meantone_temperament

    However, instead of using the ⁠ 3 / 2 ⁠ ratio, which gives perfect fifths, this must be divided by the fourth root of ⁠ 81 / 80 ⁠, which is the syntonic comma: the ratio of the Pythagorean third ⁠ 81 / 64 ⁠ to the just major third ⁠ 5 / 4 ⁠.

  8. Regular diatonic tuning - Wikipedia

    en.wikipedia.org/wiki/Regular_diatonic_tuning

    When the fifths are exactly ⁠ 3 / 2 ⁠, or around 702 cents, the result is the Pythagorean diatonic tuning. For fifths slightly narrower than ⁠ 3 / 2 ⁠ , the result is a schismatic temperament , where the temperament is measured in terms of a fraction of a schisma - the amount by which a chain of eight fifths reduced to an octave is ...

  9. Filibuster in the United States Senate - Wikipedia

    en.wikipedia.org/wiki/Filibuster_in_the_United...

    Only a small number of supermajority requirements were explicitly included in the original United States Constitution, including conviction on impeachment (two-thirds of senators present), [6] agreeing to a resolution of advice and consent to ratification of a treaty (two-thirds of senators present), [7] expelling a member of Congress (two-thirds of members voting in the house in question), [8 ...