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A tuning fork is an acoustic resonator in the form of a two-pronged fork with the prongs formed from a U-shaped bar of elastic metal (usually steel). It resonates at a specific constant pitch when set vibrating by striking it against a surface or with an object, and emits a pure musical tone once the high overtones fade out.
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 ratio :. This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2 : 1 {\displaystyle 2:1} ), and hence is the ...
Over time, tuning forks were adapted for use in medical and therapeutic settings, where their precise frequencies have been harnessed for healing and therapeutic purposes. [3] Tuning forks are known for their nearly pure frequency response, emitting a clear, unwavering tone that is free from the complex overtones found in other instruments.
In musical tuning theory, a Pythagorean interval is a musical interval with a frequency ratio equal to a power of two divided by a power of three, or vice versa. [1] For instance, the perfect fifth with ratio 3/2 (equivalent to 3 1 / 2 1 ) and the perfect fourth with ratio 4/3 (equivalent to 2 2 / 3 1 ) are Pythagorean intervals.
An A440 tuning fork A common method of tuning the piano begins with tuning all the notes in the "temperament" octave in the lower middle range of the piano, usually F3 to F4. A tuner starts by using an external reference, usually an A440 tuning fork , (or commonly a C523.23 tuning fork) to tune a beginning pitch, and then tunes the other notes ...
The intervals of 5-limit just intonation (prime limit, not odd limit) are ratios involving only the powers of 2, 3, and 5. The fundamental intervals are the superparticular ratios 2/1 (the octave), 3/2 (the perfect fifth) and 5/4 (the major third). That is, the notes of the major triad are in the ratio 1:5/4:3/2 or 4:5:6.
Construction, Tuning and Care of the Piano-forte (1887) by Edward Quincy Norton; Regulation and Repair of Piano and Player Mechanism, Together with Tuning as Science and Art (1909) by William Braid White; Modern piano tuning and allied arts (1917) by William Braid White (1878–1959) Biddle, Horace Peters (1867). The Musical Scale. Oliver ...
5-limit Tonnetz. Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument that obtains the frequency of each note by multiplying the frequency of a given reference note (the base note) by products of integer powers of 2, 3, or 5 (prime numbers limited to 5 or lower), such as 2 −3 ·3 1 ·5 1 = 15/8.
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