Piano tuning

Piano tuning

Piano tuning is the act of making minute adjustments to the tensions of the strings of a piano to properly align the intervals between their tones so that the instrument is 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 interaction between notes, which is different for every piano, thus in practice requiring slightly different pitches from any theoretical standard. Pianos are usually tuned to a modified version of the system called equal temperament ("see Piano key frequencies for the theoretical piano tuning"). In all systems of tuning, every pitch may be derived from its relationship to a chosen fixed pitch, which is usually A440.

Piano tuning is done by a wide range of independent piano technicians, piano rebuilders, piano store technical personnel, and hobbyists. Professional training and certification is available from organizations or guilds such as the Piano Technicians Guild.

Temperament and beating

The relationship between two pitches, called an interval, is the ratio of their absolute frequencies. Two different intervals are perceived to be the same when the pairs of pitches involved share the same frequency ratio. The easiest intervals to identify, and the easiest intervals to tune, are those that are just — which have a simple whole-number ratio. The term "temperament" refers to a tuning system which tempers the just intervals (usually the perfect fifth which has the ratio 3:2) in order to satisfy some other mathematical property; in equal temperament, a fifth would be tempered by narrowing it slightly, achieved by flattening its upper pitch slightly, or raising its lower pitch slightly. A system of temperament can also be known as a set of bearings.

Tempering an interval causes it to beat, which is a fluctuation in intensity due to interference between close (but unequal) pitches. The rate of beating is equal to the frequency differences of any harmonics that are present for both pitches and that coincide or nearly coincide. It is heard clearly when the difference in pitches of these coincident harmonics is small (less than 20 hertz (Hz)). Because the actual tone of a vibrating piano string is not just one pitch, but a complex of tones arranged in a harmonic series, two strings which are close to a simple harmonic ratio such as a perfect fifth will beat at higher pitches (at their coincident harmonics), due to the difference in pitch between their coincident harmonics. In the case of an interval that is close to a perfect fifth, the strongest beating will be heard at 3 times the fundamental frequency of the lower string (an octave plus a perfect fifth up), and 2 times the frequency of the higher string (an octave up). Where these frequencies can be calculated, a temperament may be tuned aurally by timing the beatings of tempered intervals.

One practical method of tuning the piano begins with tuning a set of strings in the middle range of the piano to a temperament octave. Once these strings are tuned, the tuner may proceed to tune all other pitches by comparing octave intervals against this temperament octave. This is convenient, because the octave is the most easy interval to tune (having the simplest ratio of 2:1) after the unison (1:1). (These octaves are tuned to have no beating.)

The following table lists the beat frequencies between notes in an equal temperament octave. The top row indicates absolute frequencies of the pitches; usually only A440 is determined aurally. Every other number indicates the beat rate between any two tones (which share the row and column with that number) in the temperament octave. Begin by tuning one note to the other so that the beating disappears, temper that interval in the appropriate direction (either making the interval wider or narrower, see further below) until the desired beat rate is achieved. Slower beat rates can be carefully timed with a metronome, or other such device. For the thirds in the temperament octave, it is difficult to tune so many beats per second, but after setting the temperament and duplicating it one octave below, all of these beat frequencies are present at half the indicated rate in this lower octave, which are excellent for verification that the temperament is correct. One of the easiest tests of equal temperament is to play a succession of major thirds, each one a semitone higher than the last. If equal temperament has been achieved, the beat rate of these thirds should increase evenly over the range of the piano.

This next table indicates the pitch at which the strongest beating should occur for useful intervals. As described above, when tuning a perfect fifth, for instance, the beating can be heard not at either of the fundamental pitches of the keys played, but rather an octave and fifth (perfect twelfth) above the lower of the two keys, which is the lowest pitch at which their harmonic series overlap. Once the beating can be heard, the tuner must temper the interval either wide or narrow from a tuning that has no beatings.

tretched octaves

The tuning described by the above beating plan will give a good approximation of equal temperament across the range of the temperament octave. If it were extended further, however, the actual tuning of the instrument would become increasingly inaccurate. This is due to a factor known as inharmonicity, which is present in different amounts on all piano strings. The harmonic series of strings does not fall exactly into whole-number multiples of a fundamental frequency, but rather each harmonic is slightly sharper than a whole-number ratio, and this sharpness increases as higher tones in the harmonic series are reached. (Or, more strictly speaking, the "overtones" of the strings are not exactly "harmonic".) This means that an aurally tuned octave will be slightly wider than the just 2:1 ratio assumed above, known as a "stretched octave". The amount of stretching depends on the style of piano and is determined mainly by the length of the strings: shorter pianos such as baby grands and spinets will have octaves that are stretched farther than concert grands.

This has the effect that, on a piano, the notes in the higher register will end up slightly sharper than those in the lower octave. This is less apparent on longer pianos which have proportionally thinner strings (string inharmonicity is directly related to the ratio of string thickness to length). Despite this deviation from the simpler ideal equal temperament, this is considered the correct way to tune a piano because it maintains interval identity across the piano, which generally improves the sound of music played on it.

There are other factors, physical and psychoacoustic, that affect the tuner's ability to achieve a temperament. Among physical factors are additional inharmonic effects due to soundboard resonance in the bass strings, and other effects such as poorly manufactured strings or peculiarities of resonance or bridge shape which can cause beatings in some notes that are unrelated to the tuning and that the piano tuner cannot correct. The principal psychoacoustic factor is that the human ear tends to perceive the higher notes as being flat when compared to those in the midrange. Stretching the tuning to account for string inharmonicity is often not sufficient to overcome this phenomenon, so piano tuners may stretch the top octave or so of the piano even more.

:"See also: Piano acoustics, Electronic tuner, Stretched octave and Stretched tuning".


#Helmholtz, Hermann. "On the Sensations of Tone". Trans: Alexander Ellis. Dover Publications. New York, 1954 (1885). ISBN 0-486-60753-4
#Jorgensen, Owen. "Tuning". Michigan State University Press, 1991. ISBN 0-87013-290-3

External links

* [http://www.ptg.org/ Piano Technicians Guild] - Information on piano tuning and becoming a Registered Piano Technician.
* [http://www.cincinnatipianotuning.com/FAQ.html Piano tuning FAQ]
* [http://www.amarilli.co.uk/piano/theory Piano tuning, music, mathematics and philosophy]
* [http://piano.detwiler.us/text.html How to tune a piano yourself]
* [http://members.aol.com/chang8828/tuning.htm "Fundamentals of Piano Practice", Chapter Two: Tuning Your Piano]
* [http://shakahara.com/pianopitch2.php Frequency of every note; link to spreadsheet of beat rates for equally tempered intervals]
* [http://billbremmer.com/articles/ Midrange Piano Tuning, Octave Types and Distribution]

Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • piano tuning — adjustment of the notes of a piano to the proper pitch …   English contemporary dictionary

  • Piano acoustics — are those physical properties of the piano which affect its acoustics.tring length and thicknessThe strings of a piano vary in thickness, with bass strings thicker than treble. A typical range is from 1/30 inch for the highest treble strings to… …   Wikipedia

  • Tuning — can refer to: *Musical tuning **Guitar tunings **Piano tuning *Radio tuning: see tuner *Tuning properties of neurons: see neuronal tuning *Car tuning **Engine tuning *Database tuning *Self tuning * Tuning , a song by Avail from their 1994 album… …   Wikipedia

  • Piano — Pianoforte redirects here. For earlier versions of the instrument, see Fortepiano. For other uses of Piano, see Piano (disambiguation). Piano Bösendorfer grand piano Keyboard instrument …   Wikipedia

  • Piano Technicians Guild — The Piano Technicians Guild (PTG), based in Kansas City, Kansas, is the official organization of the Registered Piano Technician (RPT). It is considered the preeminent source of expertise in piano technology and service. The PTG is a trade… …   Wikipedia

  • Piano key frequencies — This is a virtual piano with 88 keys tuned to A440, showing the frequencies, in cycles per second (Hz), of each note (ie note frequencies of each note found on a standard piano). This distribution of frequencies is known as equal temperament, i.e …   Wikipedia

  • Piano acoustique — Piano Pour les articles homonymes, voir Piano (homonymie). Piano Un pia …   Wikipédia en Français

  • Piano wire — Piano string ends Piano strings Piano wire, or music wire , is …   Wikipedia

  • tuning and temperament — In music, the adjustment of one sound source, such as a voice or string, to produce a desired pitch in relation to a given pitch, and the modification of that tuning to lessen dissonance. Tuning assures a good sound for a given pair of tones;… …   Universalium

  • Tuning wrench — A tuning wrench (also called a tuning lever or tuning hammer) is a specialized socket wrench used to tune string instruments such as the piano, harp, and hammer dulcimer, that have strings wrapped around tuning pins with square heads. Other… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”