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  2. Half-diminished seventh chord - Wikipedia

    en.wikipedia.org/wiki/Half-diminished_seventh_chord

    Chopin, Scherzo No. 1 bars 1–8 Chopin, Scherzo No. 1 bars 1–8 Wagner frequently used the chord for dramatic and expressive effect. (The chord that opens Tristan und Isolde (1859) is the best known and most-discussed example.) [ 8 ] However, in his final opera Parsifal (1882), the composer used the half-diminished seventh to colour a ...

  3. Harmonic seventh - Wikipedia

    en.wikipedia.org/wiki/Harmonic_seventh

    The harmonic seventh differs from the just 5-limit augmented sixth of ⁠ 225 / 128 ⁠ by a septimal kleisma (⁠ 225 / 224 ⁠, 7.71 cents), or about ⁠ 1 / 3 ⁠ Pythagorean comma. [19] The harmonic seventh note is about ⁠ 1 / 3 ⁠ semitone ( ≈ 31 cents ) flatter than an equal-tempered minor seventh. When this flatter seventh is used ...

  4. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    1 ⁄ 9: 0.111... Vulgar Fraction One Ninth 2151 8529 ⅒ 1 ⁄ 10: 0.1 Vulgar Fraction One Tenth 2152 8530 ⅓ 13: 0.333... Vulgar Fraction One Third 2153 8531 ⅔ 23: 0.666... Vulgar Fraction Two Thirds 2154 8532 ⅕ 15: 0.2 Vulgar Fraction One Fifth 2155 8533 ⅖ 25: 0.4 Vulgar Fraction Two Fifths 2156 8534 ⅗ 35: 0 ...

  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.

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  7. Ordinal numeral - Wikipedia

    en.wikipedia.org/wiki/Ordinal_numeral

    This system results in "two thirds" for 23 and "fifteen thirty-seconds" for 15 ⁄ 32. This system is normally used for denominators less than 100 and for many powers of 10 . Examples include "six ten-thousandths" for 6 ⁄ 10,000 and "three hundredths" for 0.03.

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