Construct · 1 fields · 2 citations

inharmonicity: a standalone construct

One name. One construct. A landmark on the map.

● anchor · one construct, one field Nearest construct by meaning·not indexed
inharmonicity1 CONSTRUCTMusical acousticsFLETCHER · STIFF STRING

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Musical acoustics

the amount a string's overtones run sharp of exact harmonics

In musical acoustics, inharmonicity is the degree to which a vibrating string's partials deviate from exact integer multiples of the fundamental because the string has bending stiffness. Fletcher (1964) derived the stiff-string frequencies f_n = n·f0·√(1+B·n²), and Fletcher, Blackham, and Stratton (1962) showed inharmonicity gives the piano its characteristic tone and forces the 'stretched' tuning in which octaves are widened to match the sharp partials. It is a well-defined landmark construct specific to the physics of real strings and bars.[1][2]

Unit
One string, with an inharmonicity coefficient B
Recovery means
Measure the partial frequencies of a plucked/struck string and fit their deviation from n·f0.
Measured by
Spectral analysis of partials; fit to f_n = n·f0·√(1+B·n²) to estimate B.

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Nearby constructs

construct6 fields · 7 citationsjingle · one name, six constructsdegree1 fields · 1 citationsanchor · a standalone constructstiffness3 fields · 3 citationsjingle · one word, three constructs

References

  1. Fletcher, H. (1964). Normal vibration frequencies of a stiff piano string. The Journal of the Acoustical Society of America, 36(1), 203–209. https://doi.org/10.1121/1.1918933
  2. Fletcher, H., Blackham, E. D., & Stratton, R. (1962). Quality of piano tones. The Journal of the Acoustical Society of America, 34(6), 749–761. https://doi.org/10.1121/1.1918192

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