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  2. Piano key frequencies - Wikipedia

    en.wikipedia.org/wiki/Piano_key_frequencies

    This list of frequencies is for a theoretically ideal piano. On an actual piano, the ratio between semitones is slightly larger, especially at the high and low ends, where string stiffness causes inharmonicity, i.e., the tendency for the harmonic makeup of each note to run sharp.

  3. 7-limit tuning - Wikipedia

    en.wikipedia.org/wiki/7-limit_tuning

    This, "extremely large third", may resemble a neutral third or blue note. [2] Septimal minor third on C. 7-limit or septimal tunings and intervals are musical instrument tunings that have a limit of seven: the largest prime factor contained in the interval ratios between pitches is seven. Thus, for example, 50:49 is a 7-limit interval, but 14: ...

  4. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    The purpose of this adjustment is to move the 12 notes within a smaller range of frequency, namely within the interval between the base note D and the D above it (a note with twice its frequency). This interval is typically called the basic octave (on a piano keyboard, an octave has only 12 keys).

  5. 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 ...

  6. Piano acoustics - Wikipedia

    en.wikipedia.org/wiki/Piano_acoustics

    The natural inharmonicity of a piano is used by the tuner to make slight adjustments in the tuning of a piano. The tuner stretches the notes, slightly sharpening the high notes and flatting the low notes to make overtones of lower notes have the same frequency as the fundamentals of higher notes. See also Piano wire, piano tuning, psychoacoustics.

  7. Interval ratio - Wikipedia

    en.wikipedia.org/wiki/Interval_ratio

    3-limit 9:8 major tone Play ⓘ. 5-limit 10:9 minor tone Play ⓘ. 7-limit 8:7 septimal whole tone Play ⓘ. 11-limit 11:10 greater undecimal neutral second Play ⓘ.. In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval.

  8. Harmonic series (music) - Wikipedia

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

    The frequencies of the harmonic series, being integer multiples of the fundamental frequency, are naturally related to each other by whole-numbered ratios and small whole-numbered ratios are likely the basis of the consonance of musical intervals (see just intonation). This objective structure is augmented by psychoacoustic phenomena.

  9. Stretched tuning - Wikipedia

    en.wikipedia.org/wiki/Stretched_tuning

    In most musical instruments, the tone-generating component (a string or resonant column of air) vibrates at many frequencies simultaneously: a fundamental frequency that is usually perceived as the pitch of the note, and harmonics or overtones that are multiples of the fundamental frequency and whose wavelengths therefore divide the tone-generating region into simple fractional segments (1/2 ...

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