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In music, inharmonicity is the degree to which the frequencies of overtones (also known as partials or partial tones) depart from whole multiples of the fundamental frequency (harmonic series). Acoustically, a note perceived to have a single distinct pitch in fact contains a variety of additional overtones.
Inharmonicity alters harmonics beyond their theoretical frequencies. As the overtone series progresses, each partial becomes proportionally sharper. Thus, in our example of an octave, exactly matching the lowest common harmonic causes a slight amount of stretch; matching the next higher common harmonic causes a greater amount of stretch; and so on.
(See inharmonicity and stretched tuning for alterations specific to wire-stringed instruments and certain electric pianos.) However, those alterations are small, and except for precise, highly specialized tuning, it is reasonable to think of the frequencies of the harmonic series as integer multiples of the fundamental frequency.
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The Railsback curve shows how a piano tuned to compensate for inharmonicity deviates from theoretically correct equal-tempered tuning. The Railsback curve, first measured in the 1930s by O.L. Railsback, a US college physics teacher, expresses the difference between inharmonicity-aware stretched piano tuning, and theoretically correct equal-tempered tuning in which the frequencies of successive ...
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The smallest pitch difference between notes (in most Western music) (e.g. F–F ♯) (Note: some contemporary music, non-Western music, and blues and jazz uses microtonal divisions smaller than a semitone) semplice Simple sempre Always sentimento Feeling, emotion sentito lit. "felt", with expression senza Without senza misura Without measure ...