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  2. Interval (music) - Wikipedia

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

    A diaschisma is the difference between three octaves and four justly tuned perfect fifths plus two justly tuned major thirds. It is expressed by the ratio 2048:2025 (19.6 cents). A schisma (also skhisma) is the difference between five octaves and eight justly tuned fifths plus one justly tuned major third. It is expressed by the ratio 32805: ...

  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. Tritone - Wikipedia

    en.wikipedia.org/wiki/Tritone

    In music theory, the tritone is defined as a musical interval spanning three adjacent whole tones (six semitones). [ 1 ] For instance, the interval from F up to the B above it (in short, F–B) is a tritone as it can be decomposed into the three adjacent whole tones F–G, G–A, and A–B. Narrowly defined, each of these whole tones must be a ...

  5. Equal temperament - Wikipedia

    en.wikipedia.org/wiki/Equal_temperament

    12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.

  6. Schisma - Wikipedia

    en.wikipedia.org/wiki/Schisma

    In music, the schisma (also spelled skhisma) is the interval between the syntonic comma (81:80) and the Pythagorean comma ( 531 441 : 524 288 ), which is slightly larger. It equals ⁠ 5 × 3 8 2 15 ⁠ or 32 805 : 32 768 ≈ 1.00113, [1][2] which corresponds to 1.9537 cents (Play ⓘ). It may also be defined as: the ratio of the syntonic comma ...

  7. Connecticut Compromise - Wikipedia

    en.wikipedia.org/wiki/Connecticut_Compromise

    A portrait of Roger Sherman, who authored the agreement. The Connecticut Compromise, also known as the Great Compromise of 1787 or Sherman Compromise, was an agreement reached during the Constitutional Convention of 1787 that in part defined the legislative structure and representation each state would have under the United States Constitution.

  8. Quartal and quintal harmony - Wikipedia

    en.wikipedia.org/wiki/Quartal_and_quintal_harmony

    Quartal and quintal harmony have been used by Robert Fripp, guitarist of King Crimson. Fripp dislikes minor thirds and especially major thirds in equal temperament tuning, which is used by non-experimental guitars. Of course, just intonation 's perfect octaves, perfect fifths, and perfect fourths are well approximated in equal temperament ...

  9. Pythagorean interval - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_interval

    Pythagorean interval. Pythagorean perfect fifth on C ⓘ: C-G (3/2 ÷ 1/1 = 3/2). In musical tuning theory, a Pythagorean interval is a musical interval with a frequency ratio equal to a power of two divided by a power of three, or vice versa. [ 1 ] For instance, the perfect fifth with ratio 3/2 (equivalent to 3 1 / 2 1) and the perfect fourth ...