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  2. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    Number Forms is a Unicode block containing Unicode compatibility characters that have specific meaning as numbers, but are constructed from other characters. They consist primarily of vulgar fractions and Roman numerals. In addition to the characters in the Number Forms block, three fractions (¼, ½, and ¾) were inherited from ISO-8859-1 ...

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

  4. Interval (music) - Wikipedia

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

    The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).

  5. Just intonation - Wikipedia

    en.wikipedia.org/wiki/Just_intonation

    The limit refers to the highest prime number fraction included in the intervals of a scale. All the intervals of any 3 limit just intonation will be multiples of 3. So ⁠ 6 / 5 ⁠ is included in 5 limit, because it has 5 in the denominator. If a scale uses an interval of 21:20, it is a 7 limit just intonation, since 21 is a multiple of 7.

  6. Major seventh - Wikipedia

    en.wikipedia.org/wiki/Major_seventh

    Major seventh. In music from Western culture, a seventh is a musical interval encompassing seven staff positions (see Interval number for more details), and the major seventh is one of two commonly occurring sevenths. It is qualified as major because it is the larger of the two. The major seventh spans eleven semitones, its smaller counterpart ...

  7. 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 ...

  8. Ordinal numeral - Wikipedia

    en.wikipedia.org/wiki/Ordinal_numeral

    Cardinal versus ordinal numbers. In linguistics, ordinal numerals or ordinal number words are words representing position or rank in a sequential order; the order may be of size, importance, chronology, and so on (e.g., "third", "tertiary"). They differ from cardinal numerals, which represent quantity (e.g., "three") and other types of numerals.

  9. 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 ...

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