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- W2041592964 abstract "A difficulty in the design of brass wind instruments arises from use of the valves both singly and in combination: a single valve tube that will lower the frequency the proper fractional amount lowers the frequency a lesser fractional amount when it is added to the main tubing already lengthened by another valve tube. From a trial-and-error study, John Redfield [J. Acoust. Soc. Am. 3, 292 296 (1931)] proposed that the tones produced separately by the three valves be tuned, respectively, 16, 12, and 21 cents flat. The present paper shows how the discrepancies can be minimized efficiently by the method of least squares and in a way best suited to a given instrument. For many cornets and trumpets, a good compromise can be attained by making the tones produced by the three valves respectively 5, 1, and 16 cents flat; then, the tones that must be obtained by the three valves in combination will be about 15 cents sharp. This result is based on a statistical analysis of some 17 000 measurements of intonation of 27 instruments that indicates that the frequency of sound from a cornet or trumpet varies inversely as the 5/3 power of the length thereof. For baritone and brass horns, however, the frequency varies inversely as the length, and a different tuning rule is appropriate." @default.
- W2041592964 created "2016-06-24" @default.
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- W2041592964 date "1962-05-01" @default.
- W2041592964 modified "2023-09-24" @default.
- W2041592964 title "Optimum Lengths of Valve Tubes for Brass Wind Instruments" @default.
- W2041592964 doi "https://doi.org/10.1121/1.1937167" @default.
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