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A transposing instrument is a
musical instrument A musical instrument is a device created or adapted to make musical sounds. In principle, any object that produces sound can be considered a musical instrument—it is through purpose that the object becomes a musical instrument. A person who pl ...
for which music notation is not written at
concert pitch Concert pitch is the pitch (music), pitch reference to which a group of musical instruments are musical tuning, tuned for a performance. Concert pitch may vary from musical ensemble, ensemble to ensemble, and has varied widely over music history. ...
(concert pitch is the pitch on a non-transposing instrument such as the piano). For example, playing a written
middle C C or Do is the first note and semitone of the C major scale, the third note of the A minor scale (the relative minor of C major), and the fourth note (G, A, B, C) of the Guidonian hand, commonly pitched around 261.63  Hz. The actual frequen ...
on a transposing instrument produces a pitch other than middle C; that sounding pitch identifies the interval of transposition when describing the instrument. Playing a written C on
clarinet The clarinet is a musical instrument in the woodwind family. The instrument has a nearly cylindrical bore and a flared bell, and uses a single reed to produce sound. Clarinets comprise a family of instruments of differing sizes and pitches ...
or
soprano saxophone The soprano saxophone is a higher-register variety of the saxophone, a woodwind instrument invented in the 1840s. The soprano is the third-smallest member of the saxophone family, which consists (from smallest to largest) of the soprillo, sop ...
produces a concert B (i.e. B at concert pitch), so these are referred to as B instruments. Providing
transposed In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix by producing another matrix, often denoted by (among other notations). The tr ...
music for these instruments is a convention of
musical notation Music notation or musical notation is any system used to visually represent aurally perceived music played with instruments or sung by the human voice through the use of written, printed, or otherwise-produced symbols, including notation fo ...
. The instruments do not transpose the music; rather, their music is written at a transposed pitch. Where chords are indicated for
improvisation Improvisation is the activity of making or doing something not planned beforehand, using whatever can be found. Improvisation in the performing arts is a very spontaneous performance without specific or scripted preparation. The skills of impr ...
they are also written in the appropriate transposed form. For some instruments, a written C sounds as a C, but is in a different
octave In music, an octave ( la, octavus: eighth) or perfect octave (sometimes called the diapason) is the interval between one musical pitch and another with double its frequency. The octave relationship is a natural phenomenon that has been refer ...
; these instruments are said to transpose "at the octave". Pitches on the
piccolo The piccolo ( ; Italian for 'small') is a half-size flute and a member of the woodwind family of musical instruments. Sometimes referred to as a "baby flute" the modern piccolo has similar fingerings as the standard transverse flute, but the so ...
sound an octave higher than written while those on the
double bass The double bass (), also known simply as the bass () (or #Terminology, by other names), is the largest and lowest-pitched Bow (music), bowed (or plucked) string instrument in the modern orchestra, symphony orchestra (excluding unorthodox addit ...
sound an octave lower.


Reasons for transposing


Ease of switching instruments

Some instruments are constructed in a variety of sizes, with the larger versions having a lower
range Range may refer to: Geography * Range (geographic), a chain of hills or mountains; a somewhat linear, complex mountainous or hilly area (cordillera, sierra) ** Mountain range, a group of mountains bordered by lowlands * Range, a term used to i ...
than the smaller ones. Common examples are
clarinets The clarinet is a musical instrument in the woodwind family. The instrument has a nearly cylindrical bore and a flared bell, and uses a single reed to produce sound. Clarinets comprise a family of instruments of differing sizes and pitches. ...
,
saxophones The saxophone (often referred to colloquially as the sax) is a type of single-reed woodwind instrument with a conical body, usually made of brass. As with all single-reed instruments, sound is produced when a reed on a mouthpiece vibrates to pro ...
,
trombones The trombone (german: Posaune, Italian, French: ''trombone'') is a musical instrument in the brass family. As with all brass instruments, sound is produced when the player's vibrating lips cause the air column inside the instrument to vibrate ...
, and
trumpets The trumpet is a brass instrument commonly used in classical and jazz ensembles. The trumpet group ranges from the piccolo trumpet—with the highest register in the brass family—to the bass trumpet, pitched one octave below the standard B ...
. Music is often written in transposed form for these groups of instruments so that the fingerings correspond to the same written notes for any instrument in the family, even though the sounding pitches will differ. A musician who plays several instruments in a family can thus read music in the same way regardless of which particular instrument is being used. Instruments that transpose this way are often said to be in a certain "key" (e.g., the "B clarinet" or "clarinet in B"). This refers to the concert pitch that is heard when a written C is played on the instrument in question. Playing a written C produces a concert B on a B clarinet, a concert A on an A clarinet, and a concert C on a C clarinet (this last example is a non-transposing instrument).


Horn crooks

Before
valves A valve is a device or natural object that regulates, directs or controls the flow of a fluid (gases, liquids, fluidized solids, or slurries) by opening, closing, or partially obstructing various passageways. Valves are technically fittings ...
were invented in the 19th century,
horns Horns or The Horns may refer to: * Plural of Horn (instrument), a group of musical instruments all with a horn-shaped bells * The Horns (Colorado), a summit on Cheyenne Mountain * ''Horns'' (novel), a dark fantasy novel written in 2010 by Joe Hill ...
and
trumpets The trumpet is a brass instrument commonly used in classical and jazz ensembles. The trumpet group ranges from the piccolo trumpet—with the highest register in the brass family—to the bass trumpet, pitched one octave below the standard B ...
could play only the notes of the
overtone series A harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a ''fundamental frequency''. Pitched musical instruments are often based on an acoustic resonator su ...
from a single
fundamental Fundamental may refer to: * Foundation of reality * Fundamental frequency, as in music or phonetics, often referred to as simply a "fundamental" * Fundamentalism, the belief in, and usually the strict adherence to, the simple or "fundamental" idea ...
pitch. (Exceptions included slide-bearing versions such as the
sackbut The term sackbut refers to the early forms of the trombone commonly used during the Renaissance music, Renaissance and Baroque music, Baroque eras. A sackbut has the characteristic telescopic slide of a trombone, used to vary the length of th ...
and finger-hole horns like the
cornett The cornett, cornetto, or zink is an early wind instrument that dates from the Medieval, Renaissance and Baroque periods, popular from 1500 to 1650. It was used in what are now called alta capellas or wind ensembles. It is not to be confused wi ...
and
serpent Serpent or The Serpent may refer to: * Snake, a carnivorous reptile of the suborder Serpentes Mythology and religion * Sea serpent, a monstrous ocean creature * Serpent (symbolism), the snake in religious rites and mythological contexts * Serp ...
.) Beginning in the early 18th century, a system of crooks was devised in Germany, enabling this fundamental to be changed by inserting one of a set of crooks between the mouthpiece and the lead pipe of the instrument, increasing the total length of its sounding tube. As a result, all horn music was written as if for a fundamental pitch of C, but the crooks could make a single instrument a transposing instrument into almost any key. Changing these lead-pipe crooks was time-consuming, and even keeping them from falling out while playing was a matter of some concern to the player, so changing crooks could take place only during substantial rests. Medial crooks, inserted in the central portion of the instrument, were an improvement devised in the middle of the 18th century, and they could also be made to function as a slide for tuning, or to change the pitch of the fundamental by a semitone or tone. The introduction of valves made this process unnecessary, though many players and composers found the tone quality of valved instruments inferior (
Richard Wagner Wilhelm Richard Wagner ( ; ; 22 May 181313 February 1883) was a German composer, theatre director, polemicist, and conductor who is chiefly known for his operas (or, as some of his mature works were later known, "music dramas"). Unlike most op ...
sometimes wrote horn parts for both natural and valved horns together in the same piece). F transposition became standard in the early 19th century, with the horn sounding a perfect fifth below written pitch in treble clef. In bass clef, composers differed in whether they expected the instruments to transpose down a fifth or up a fourth.


Reconciling pitch standards

In the music of Germany during the Baroque period, and notably in the music of
Johann Sebastian Bach Johann Sebastian Bach (28 July 1750) was a German composer and musician of the late Baroque period. He is known for his orchestral music such as the '' Brandenburg Concertos''; instrumental compositions such as the Cello Suites; keyboard w ...
, instruments used for different purposes were often tuned to different pitch standards, called ''Chorton'' ("choir pitch") and ''Kammerton'' ("chamber usicpitch"). When they played together in an ensemble, the parts of some instruments would then have to be transposed to compensate. In many of Bach's cantatas the organ part is notated a full step lower than the other instruments. See
pitch inflation Concert pitch is 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 music history. The most common modern tuning standard uses 4 ...
. A few early-music ensembles of the present day must do something similar if they comprise some instruments tuned to A415 and others to
A440 A440 or A-440 may refer to: * A440 (pitch standard) * A440 highway (Australia), a road in Victoria, Australia * Quebec Autoroute 440 (Laval) * Quebec Autoroute 440 (Quebec City) See also * Apollo 440 Apollo 440 (also known as Apollo Four Fo ...
, approximately a
semitone A semitone, also called a half step or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically. It is defined as the interval between two adjacent no ...
apart. Modern builders of continuo instruments sometimes include moveable keyboards which can play with either pitch standard. The harpsichord has a single string for each note, plucked by a plectrum and the difference in pitch between the Baroque A at 415 Hz and the "modern" A at 440 Hz is one half step. Moving the keyboard mechanism right or left causes the A key to play the next string, namely the A at 440 Hz or the A at 392 Hz respectively. Movement of the keyboard allows one to play higher or lower, though the topmost or bottommost key will not produce sound unless the builder has provided extra strings to accommodate the transposition feature.


Transposition at the octave

Some instruments have ranges that do not fit on the staff well when using one of the common clefs. In order to avoid the use of excessive
ledger line A ledger line or leger line is used in Western musical notation to notate pitches above or below the lines and spaces of the regular musical staff. A line slightly longer than the note head is drawn parallel to the staff, above or below, spaced a ...
s, music for these instruments may be written one, or even two,
octaves In music, an octave ( la, octavus: eighth) or perfect octave (sometimes called the diapason) is the interval between one musical pitch and another with double its frequency. The octave relationship is a natural phenomenon that has been refer ...
away from concert pitch, using treble or bass clef. These instruments are said to "transpose at the octave" — their music is not written in a different
key Key or The Key may refer to: Common meanings * Key (cryptography), a piece of information that controls the operation of a cryptography algorithm * Key (lock), device used to control access to places or facilities restricted by a lock * Key (map ...
from concert pitch instruments, but sound one or two octaves higher or lower than written.
Double bass The double bass (), also known simply as the bass () (or #Terminology, by other names), is the largest and lowest-pitched Bow (music), bowed (or plucked) string instrument in the modern orchestra, symphony orchestra (excluding unorthodox addit ...
,
bass guitar The bass guitar, electric bass or simply bass (), is the lowest-pitched member of the string family. It is a plucked string instrument similar in appearance and construction to an electric or an acoustic guitar, but with a longer neck and ...
, and
guitar The guitar is a fretted musical instrument that typically has six strings. It is usually held flat against the player's body and played by strumming or plucking the strings with the dominant hand, while simultaneously pressing selected stri ...
sound an octave lower than written.
Piccolo The piccolo ( ; Italian for 'small') is a half-size flute and a member of the woodwind family of musical instruments. Sometimes referred to as a "baby flute" the modern piccolo has similar fingerings as the standard transverse flute, but the so ...
,
xylophone The xylophone (; ) is a musical instrument in the percussion family that consists of wooden bars struck by mallets. Like the glockenspiel (which uses metal bars), the xylophone essentially consists of a set of tuned wooden keys arranged in the ...
,
celesta The celesta or celeste , also called a bell-piano, is a struck idiophone operated by a keyboard. It looks similar to an upright piano (four- or five-octave), albeit with smaller keys and a much smaller cabinet, or a large wooden music box ( ...
, and some recorders ( sopranino,
soprano A soprano () is a type of classical female singing voice and has the highest vocal range of all voice types. The soprano's vocal range (using scientific pitch notation) is from approximately middle C (C4) = 261  Hz to "high A" (A5) = 880&n ...
, bass and sometimes
alto The musical term alto, meaning "high" in Italian (Latin: ''altus''), historically refers to the contrapuntal part higher than the tenor and its associated vocal range. In 4-part voice leading alto is the second-highest part, sung in choruses by ...
) sound an octave above the written note.
Glockenspiel The glockenspiel ( or , : bells and : set) or bells is a percussion instrument consisting of pitched aluminum or steel bars arranged in a keyboard layout. This makes the glockenspiel a type of metallophone, similar to the vibraphone. The glo ...
,
garklein recorder The garklein recorder in C, also known as the sopranissimo recorder or piccolo recorder, is the smallest size of the recorder family. Its range is C6–A7 (C8). The name ''garklein'' is German for "quite small", and is also sometimes used to desc ...
, and
crotales Crotales (, ), sometimes called antique cymbals, are percussion instruments consisting of small, tuned bronze or brass disks. Each is about in diameter with a flat top surface and a nipple on the base. They are commonly played by being struck ...
sound two octaves above the written note. Most authorities include this type of notation in the definition of "transposing instruments", According to this article, if an octave-transposing clef is used (with a small 8 above or below), the term "transposition" does not apply. although it is a special case in the sense that these instruments remain in the same key as non-transposing instruments.


Mechanical and physical considerations

Most
woodwind instrument Woodwind instruments are a family of musical instruments within the greater category of wind instruments. Common examples include flute, clarinet, oboe, bassoon, and saxophone. There are two main types of woodwind instruments: flutes and Reed ...
s have one major scale whose execution involves lifting the fingers more or less sequentially from bottom to top. This scale is usually the one notated as a C scale (from C to C, with no sharps or flats) for that instrument. The note written as C sounds as the note of the instrument's transposition: on an E alto saxophone, that note sounds as a concert E, while on an A clarinet, that note sounds as a concert A. The
bassoon The bassoon is a woodwind instrument in the double reed family, which plays in the tenor and bass ranges. It is composed of six pieces, and is usually made of wood. It is known for its distinctive tone color, wide range, versatility, and virtuo ...
is an exception—it is not a transposing instrument despite its "home" scale being F.
Brass instruments A brass instrument is a musical instrument that produces sound by sympathetic vibration of air in a tubular resonator in sympathy with the vibration of the player's lips. Brass instruments are also called labrosones or labrophones, from Latin ...
, when played with no valves engaged (or, for
trombone The trombone (german: Posaune, Italian, French: ''trombone'') is a musical instrument in the Brass instrument, brass family. As with all brass instruments, sound is produced when the player's vibrating lips cause the Standing wave, air column ...
s, with the slide all the way in), play a series of notes that form the overtone series based on some fundamental pitch, e.g., the B
trumpet The trumpet is a brass instrument commonly used in classical and jazz ensembles. The trumpet group ranges from the piccolo trumpet—with the highest register in the brass family—to the bass trumpet, pitched one octave below the standard ...
, when played with no valves engaged, can play the overtones based on B. Usually, that pitch is the note that indicates the transposition of the instrument. Trombones are an exception: while tenor and bass trombones are pitched in B, and the alto trombone is in E, they read at concert pitch. This convention is not followed in British Brass Band music, where tenor trombone is treated as a transposing instrument in B.
French horn The French horn (since the 1930s known simply as the horn in professional music circles) is a brass instrument made of tubing wrapped into a coil with a flared bell. The double horn in F/B (technically a variety of German horn) is the horn most ...
is treated as a transposing instrument in F even though many horns have two (or even three) different sets of tubing in different keys (the common double horn has tubing in F and B). In general, for these instruments there is some reason to consider a certain pitch the "home" note of an instrument, and that pitch is usually written as C for that instrument. The concert pitch of that note is what determines how we refer to the transposition of that instrument.


Conductor's score

In conductors' scores and other
full score Sheet music is a handwritten or printed form of musical notation that uses musical symbols to indicate the pitches, rhythms, or chords of a song or instrumental musical piece. Like its analogs – printed books or pamphlets in English, Ara ...
s, music for transposing instruments is generally written in transposed form, just as in the players' parts. Some composers from the beginning of the 20th century onward have written orchestral scores entirely in concert pitch, e.g. the score of
Sergei Prokofiev Sergei Sergeyevich Prokofiev; alternative transliterations of his name include ''Sergey'' or ''Serge'', and ''Prokofief'', ''Prokofieff'', or ''Prokofyev''., group=n (27 April .S. 15 April1891 – 5 March 1953) was a Russian composer, p ...
's Piano Concerto No. 1 in D.


See also

* List of transposing instruments


Notes


Sources

* * {{DEFAULTSORT:Transposing Instrument Musical instruments Musical notation Jazz terminology