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  3. Unison - Wikipedia

    en.wikipedia.org/wiki/Unison

    Unison or perfect unison (also called a prime, or perfect prime) [3] may refer to the (pseudo-) interval formed by a tone and its duplication (in German, Unisono, Einklang, or Prime), for example C–C, as differentiated from the second, C–D, etc. In the unison the two pitches have the ratio of 1:1 or 0 half steps and zero cents.

  4. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    By definition, in Pythagorean tuning 11 perfect fifths (P5 in the table) have a size of approximately 701.955 cents (700+ε cents, where ε ≈ 1.955 cents). Since the average size of the 12 fifths must equal exactly 700 cents (as in equal temperament), the other one must have a size of 700 − 11 ε cents, which is about 678.495 cents (the ...

  5. Perfect fourth - Wikipedia

    en.wikipedia.org/wiki/Perfect_fourth

    The perfect fourth is a perfect interval like the unison, octave, and perfect fifth, and it is a sensory consonance. In common practice harmony, however, it is considered a stylistic dissonance in certain contexts, namely in two-voice textures and whenever it occurs "above the bass in chords with three or more notes". [ 2 ]

  6. Musical temperament - Wikipedia

    en.wikipedia.org/wiki/Musical_temperament

    Construction, Tuning and Care of the Piano-forte (1887) by Edward Quincy Norton; Regulation and Repair of Piano and Player Mechanism, Together with Tuning as Science and Art (1909) by William Braid White; Modern piano tuning and allied arts (1917) by William Braid White (1878–1959) Biddle, Horace Peters (1867). The Musical Scale. Oliver ...

  7. Perfect fifth - Wikipedia

    en.wikipedia.org/wiki/Perfect_fifth

    The just perfect fifth can be heard when a violin is tuned: if adjacent strings are adjusted to the exact ratio of 3:2, the result is a smooth and consonant sound, and the violin sounds in tune. Keyboard instruments such as the piano normally use an equal-tempered version of the perfect fifth, enabling the instrument to play in all keys.