Concert pitch

A written C, top, on a B♭ clarinet sounds a concert B♭, bottom.

Concert pitch refers to the pitch reference to which a group of musical instruments are tuned for a performance. Concert pitch may vary from ensemble to ensemble, and has varied widely over musical history. In the literature this is also called international standard pitch. The most common modern tuning standard uses 440 Hz for A above middle C as a reference note, with other notes being set relative to it.

The term "concert pitch" is also used to distinguish between the "written" (or "nominal"), and "sounding" (or "real") notes of a transposing instrument - concert pitch here refers to the pitch on a non-transposing instrument. Music for transposing instruments is transposed into different keys from that of non-transposing instruments—for example, playing a written C on a B♭ clarinet or trumpet produces a non-transposing instrument's B♭. This pitch is referred to as "concert B♭".

Modern standard concert pitch

	440 Hz
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The A above middle C is often set at 440 Hz although other frequencies are also used, such as 442 Hz and 443 Hz. Historically, this A has been tuned to a variety of higher and lower pitches.

History of pitch standards in Western music

Historically, various standards have been used to fix the pitch of notes at certain frequencies.^[1] Various systems of musical tuning have also been used to determine the relative frequency of notes in a scale.

Pre-19th century

Until the 19th century there was no coordinated effort to standardize musical pitch, and the levels across Europe varied widely. Pitches did not just vary from place to place, or over time—pitch levels could vary even within the same city. The pitch used for an English cathedral organ in the 17th century, for example, could be as much as five semitones lower than that used for a domestic keyboard instrument in the same city.

Even within one church, the pitch used could vary over time because of the way organs were tuned. Generally, the end of an organ pipe would be hammered inwards to a cone, or flared outwards, to raise or lower the pitch. When the pipe ends became frayed by this constant process they were all trimmed down, thus raising the overall pitch of the organ.

From the early 18th century, pitch could be also controlled with the use of tuning forks (invented in 1711), although again there was variation. For example, a tuning fork associated with Handel, dating from 1740, is pitched at A = 422.5 Hz, while a later one from 1780 is pitched at A = 409 Hz, approximately a quarter-tone lower.^[2] Overall, there was a tendency towards the end of the 18th century for the frequency of the A above middle C to be in the range of 400 to 450 Hz.

The frequencies quoted here are based on modern measurements and would not have been precisely known to musicians of the day. Although Mersenne had made a rough determination of sound frequencies as early as the 17th century, such measurements did not become scientifically accurate until the 19th century, beginning with the work of German physicist Johann Scheibler in the 1830s. The term formerly used for the unit of pitch, cycle per second (CPS) was replaced by hertz (Hz) in the 20th century in honor of Heinrich Rudolf Hertz. The two terms are equivalent: 1 CPS = 1 Hz.

Pitch inflation

During historical periods when instrumental music rose in prominence (relative to the voice), there was a continuous tendency for pitch levels to rise. This "pitch inflation" seemed largely a product of instrumentalists competing with each other, each attempting to produce a brighter, more "brilliant", sound than that of their rivals. (In string instruments, this is not all acoustic illusion: when tuned up, they actually sound objectively brighter because the higher string tension results in larger amplitudes for the harmonics.) This tendency was also prevalent with wind instrument manufacturers, who crafted their instruments to play generally at a higher pitch than those made by the same craftsmen years earlier.

On at least two occasions, pitch inflation had become so severe that reform became needed. At the beginning of the 17th century, Michael Praetorius reported in his encyclopedic Syntagma musicum that pitch levels had become so high that singers were experiencing severe throat strain and lutenists and viol players were complaining of snapped strings. The standard voice ranges he cites show that the pitch level of his time, at least in the part of Germany where he lived, was at least a minor third higher than today's. Solutions to this problem were sporadic and local, but generally involved the establishment of separate standards for voice and organ ("Chorton") and for chamber ensembles ("Kammerton"). Where the two were combined, as for example in a cantata, the singers and instrumentalists might perform from music written in different keys. This system kept pitch inflation at bay for some two centuries.^[3]

The advent of the orchestra as an independent (as opposed to accompanying) ensemble brought pitch inflation to the fore again. The rise in pitch during this time can be seen reflected in tuning forks. An 1815 tuning fork from the Dresden opera house gives A = 423.2 Hz ,^[2] while one of eleven years later from the same opera house gives A = 435 Hz . At La Scala in Milan, the A above middle C rose as high as 451 Hz .^[2]

19th- and 20th-century standards

The strongest opponents of the upward tendency in pitch were singers, who complained that it was putting a strain on their voices. Largely due to their protests, the French government passed a law on February 16, 1859, which set the A above middle C at 435 Hz.^[2] This was the first attempt to standardize pitch on such a scale, and was known as the diapason normal. It became quite a popular pitch standard outside France as well, and has also been known at various times as French pitch, continental pitch or international pitch (the last of these not to be confused with the 1939 "international standard pitch" described below).

The diapason normal resulted in middle C being tuned at approximately 258.65 Hz . An alternative pitch standard known as philosophical or scientific pitch fixed middle C at 256 Hz (that is, 2⁸ Hz), which resulted in the A above it being approximately 430.54 Hz . The appeal of this system was its mathematical idealism (the frequencies of all the Cs being powers of two).^[4] This system never received the same official recognition as the French A = 435 Hz and was not widely used. This tuning has been promoted unsuccessfully by the Schiller Institute under the name Verdi tuning since Italian composer Giuseppe Verdi had proposed a slight lowering of the French tuning system. However, the Schiller Institute's recommended tuning of A is 432 Hz rather than the mathematically derived 430.54 Hz.^[5][6]

British attempts at standardisation in the 19th century gave rise to the old philharmonic pitch standard of about A = 452 Hz (different sources quote slightly different values), replaced in 1896 by the considerably "deflated" new philharmonic pitch at A = 439 Hz.^[2] The high pitch was maintained by Sir Michael Costa for the Crystal Palace Handel Festivals, causing the withdrawal of the principal tenor Sims Reeves in 1877,^[7] though at singers' insistence the Birmingham Festival pitch was lowered (and the organ retuned) at that time. At the Queen's Hall in London, the establishment of the diapason normal for the Promenade Concerts in 1895 (and retuning of the organ to A = 439 at 15 °C (59 °F), to be in tune with A = 435.5 in a heated hall) caused the Royal Philharmonic Society and others (including the Bach Choir, and the Felix Mottl and Artur Nikisch concerts) to adopt the continental pitch thereafter.^[8]

In England the term low pitch was used from 1896 onward to refer to the new Philharmonic Society tuning standard of A = 439 Hz at 68 °F, while "high pitch" was used for the older tuning of A = 452.4 Hz at 60 °F. Although the larger London orchestras were quick to conform to the new, low pitch, provincial orchestras continued using the high pitch until at least the 1920s, and most brass bands were still using the high pitch in the mid-1960s.^[9]

The Stuttgart Conference of 1834 recommended C264 (A440) as the standard pitch based on Scheibler's studies with his Tonometer.^[10] For this reason A440 has been referred to as Stuttgart pitch or Scheibler pitch.

In 1939, an international conference^[11] recommended that the A above middle C be tuned to 440 Hz, now known as concert pitch. As a technical standard this was taken up by the International Organization for Standardization in 1955 and reaffirmed by them in 1975 as ISO 16. The difference between this and the diapason normal is due to confusion over the temperature at which the French standard should be measured. The initial standard was A = 439 Hz , but this was superseded by A = 440 Hz after complaints that 439 Hz was difficult to reproduce in a laboratory because 439 is a prime number.^[11]

Current concert pitches

Despite such confusion, A = 440 Hz is the only official standard and is widely used around the world. Many orchestras in the United Kingdom adhere to this standard as concert pitch.^[12] In the United States some orchestras use A = 440 Hz, while others, such as the New York Philharmonic use A = 442 Hz.^[13] The latter is also often used as a tuning frequency in Europe,^[2] especially in Denmark, France, Hungary, Italy, Norway and Switzerland.^[14] Nearly all modern symphony orchestras in Germany and Austria and many in other countries in continental Europe (such as Russia, Sweden and Spain) tune to A = 443 Hz.^[12][14]The Boston Symphony Orchestra tunes to A = 441 Hz.

In practice the orchestras tune to a note given out by the oboe, and many oboists use an electronic tuning device. When playing with fixed-pitch instruments such as the piano, the orchestra will generally tune to them—a piano will normally have been tuned to the orchestra's normal pitch. Overall, it is thought that the general trend since the middle of the 20th century has been for standard pitch to rise, though it has been rising far more slowly than it has in the past. Some orchestras like the Berlin Philharmonic now use a slightly lower pitch (443 Hz) than their highest previous standard (445 Hz).^[2][15]

Many modern ensembles which specialize in the performance of Baroque music have agreed on a standard of A = 415 Hz.^[2] An exact equal-tempered semitone lower than A = 440 would be 440/2^1/12 = 415.3047 Hz; this is rounded to the nearest integer. In principle this allows for playing along with modern fixed-pitch instruments if their parts are transposed down a semitone. It is, however, common performance practice, especially in the German Baroque idiom, to tune certain works to Chorton, approximately a semitone higher than A-440 (460–470 Hz) (e.g., Pre-Leipzig period cantatas of Bach).^[16]

References

Frequency and pitch Notation Concert pitch Enharmonic Helmholtz pitch notation Letter notation Piano key frequencies Pitch class Scientific pitch notation Perception Absolute pitch Ear training Pitch circularity Relative pitch Tonal memory Tone deafness Virtual pitch