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  2. Piano key frequencies - Wikipedia

    en.wikipedia.org/wiki/Piano_key_frequencies

    Values in bold are exact on an idealized standard piano. Keys shaded gray are rare and only appear on extended pianos. The normal 88 keys were numbered 1–88, with the extra low keys numbered 89–97 and the extra high keys numbered 98–108. A 108-key piano that extends from C 0 to B 8 was first built in 2018 by Stuart & Sons. [4]

  3. Interval ratio - Wikipedia

    en.wikipedia.org/wiki/Interval_ratio

    In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval. For example, a just perfect fifth (for example C to G) is 3:2 ( Play ⓘ ), 1.5, and may be approximated by an equal tempered perfect fifth ( Play ⓘ ) which is 2 7/12 (about 1.498).

  4. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    Comparison of equal-tempered (black) and Pythagorean (green) intervals showing the relationship between frequency ratio and the intervals' values, in cents. Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [ 2 ] which are " pure " or perfect , with ...

  5. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...

  6. Pseudo-octave - Wikipedia

    en.wikipedia.org/wiki/Pseudo-octave

    Pseudo-octave (2.1:1) A pseudo-octave, pseudooctave, [1] or paradoxical octave [2] in music is an interval whose frequency ratio is not exactly 2:1 = octave : tonic expected for perfectly harmonic pitches, but slightly wider or narrower in pitch – for example 1.98:1, 2.01:1, or even as large as 2.3:1 . [1]

  7. List of musical intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_intervals

    List of musical intervals may refer to: Interval (music)#Main intervals as abstract relations between notes in western music theory. List of pitch intervals as frequency ratios in intonation and tuning of musical instruments and performances.

  8. Piano tuning - Wikipedia

    en.wikipedia.org/wiki/Piano_tuning

    A man tuning an upright piano. Piano tuning is the process of adjusting the tension of the strings of an acoustic piano so that the musical intervals between strings are in tune. The meaning of the term 'in tune', in the context of piano tuning, is not simply a particular fixed set of pitches. Fine piano tuning requires an assessment of the ...

  9. Octave - Wikipedia

    en.wikipedia.org/wiki/Octave

    The interval is so natural to humans that when men and women are asked to sing in unison, they typically sing in octave. [ 6 ] For this reason, notes an octave apart are given the same note name in the Western system of music notation —the name of a note an octave above A is also A.