Transposition Convention
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A transposing instrument is a
musical instrument A musical instrument is a device created or adapted to make Music, 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 ...
for which music notation is not written at
concert pitch 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 time. The ISO defines international standard pitch as A440, ...
(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 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 frequency has d ...
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 Single-reed instrument, single-reed musical instrument in the woodwind family, with a nearly cylindrical bore (wind instruments), bore and a flared bell. Clarinets comprise a Family (musical instruments), family of instrume ...
or
soprano saxophone The soprano saxophone is a small, high-pitched member of the saxophone family of woodwind instruments invented in the 1840s by Belgian instrument maker Adolphe Sax. Built in B♭ an octave above the tenor saxophone (or rarely, slightly small ...
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 tra ...
music for these instruments is a convention of
musical notation Musical notation is any system used to visually represent music. Systems of notation generally represent the elements of a piece of music that are considered important for its performance in the context of a given musical tradition. The proce ...
. The instruments do not transpose the music; rather, their music is written at a transposed pitch. Where chords are indicated for
improvisation Improvisation, often shortened to improv, is the activity of making or doing something not planned beforehand, using whatever can be found. The origin of the word itself is in the Latin "improvisus", which literally means un-foreseen. Improvis ...
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 (: eighth) or perfect octave (sometimes called the diapason) is an interval between two notes, one having twice the frequency of vibration of the other. The octave relationship is a natural phenomenon that has been referr ...
; these instruments are said to transpose "at the octave". Pitches on the
double bass The double bass (), also known as the upright bass, the acoustic bass, the bull fiddle, or simply the bass, is the largest and lowest-pitched string instrument, chordophone in the modern orchestra, symphony orchestra (excluding rare additions ...
sound an octave lower than written, while those on the
piccolo The piccolo ( ; ) is a smaller version of the western concert flute and a member of the woodwind family of musical instruments. Sometimes referred to as a "baby flute" or piccolo flute, the modern piccolo has the same type of fingerings as the ...
and
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 ...
sound an octave higher, and those on the
glockenspiel The glockenspiel ( ; or , : bells and : play) or bells is a percussion instrument consisting of pitched aluminum or steel bars arranged in a Musical keyboard, keyboard layout. This makes the glockenspiel a type of metallophone, similar to the v ...
sound two octaves higher.


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 single-reed musical instrument in the woodwind family, with a nearly cylindrical bore and a flared bell. Clarinets comprise a family of instruments of differing sizes and pitches. The clarinet family is the largest woodwin ...
(the high E clarinet, soprano instruments in C, B and A, the alto in E, and the bass in B),
flutes The flute is a member of a family of musical instruments in the woodwind group. Like all woodwinds, flutes are aerophones, producing sound with a vibrating column of air. Flutes produce sound when the player's air flows across an opening. In th ...
(the
piccolo The piccolo ( ; ) is a smaller version of the western concert flute and a member of the woodwind family of musical instruments. Sometimes referred to as a "baby flute" or piccolo flute, the modern piccolo has the same type of fingerings as the ...
, transposing at the octave, the standard concert-pitch flute, and the
alto flute The alto flute is an instrument in the Western concert flute family, pitched below the standard C flute and the uncommon flûte d'amour. It is the third most common member of its family after the standard C flute and the piccolo. It is chara ...
in G),
saxophones The saxophone (often referred to colloquially as the sax) is a type of Single-reed instrument, single-reed woodwind instrument with a conical body, usually made of brass. As with all single-reed instruments, sound is produced when a reed (mouthpi ...
(in several octaves in B and E), 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 o ...
(the common instrument in B, instruments in C, D and E, and the
piccolo trumpet The piccolo trumpet is the smallest member of the trumpet family, pitched one octave higher than the standard B trumpet. Most piccolo trumpets are built to play in either B or A, using a separate leadpipe for each key. The tubing in the B picco ...
transposing at the octave). 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 (anatomy) * 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), ''Horns'' (novel), a dar ...
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 o ...
could play only the notes of the
overtone series The 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 s ...
from a single fundamental pitch. (Exceptions included slide-bearing versions such as the
sackbut A sackbut is an early form of the trombone 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 the tube to change Pitch (m ...
and finger-hole horns like the
cornett The cornett (, ) is a lip-reed wind instrument that dates from the Medieval, Renaissance and Baroque periods, popular from 1500 to 1650. Although smaller and larger sizes were made in both straight and curved forms, surviving cornetts are most ...
and serpent.) 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, essayist, and conductor who is chiefly known for his operas (or, as some of his mature works were later known, "music dramas"). Unlike most o ...
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 Germany during the Baroque period, instruments used for different purposes were often tuned to different pitch standards, called ''Chorton'' ("choir pitch") and ''Kammerton'' ("chamber usicpitch"). When playing together in an ensemble, the music of some instruments would therefore be transposed to compensate. In many of
Bach Johann Sebastian Bach (German: joːhan zeˈbasti̯an baχ ( – 28 July 1750) was a German composer and musician of the late Baroque period. He is known for his prolific output across a variety of instruments and forms, including the or ...
'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 time. The ISO defines international standard pitch as A440, ...
. Some present day early-music ensembles combine instruments tuned to A415 with instruments tuned 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, an English band * Airbus A400M The Air ...
. Since these pitches are approximately a
semitone A semitone, also called a minor second, 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 ...
apart, the music for one set of instruments may be transposed to match the pitch of the others. Modern builders of continuo instruments sometimes include moveable keyboards which can play with either pitch standard. Some harpsichords are made with a mechanism that shifts the keyboard action right or left, causing each key to play the adjacent string. If A4 is tuned at A415, that key can then play either the A at 440 Hz or the A at 392 Hz. The top or bottom key on the instrument will not produce sound unless the builder has added extra strings to accommodate this transposition.


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 ...
s, music for these instruments may be written one, or even two,
octaves In music, an octave (: eighth) or perfect octave (sometimes called the diapason) is an interval between two notes, one having twice the frequency of vibration of the other. The octave relationship is a natural phenomenon that has been referr ...
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 from concert pitch instruments, but sound one or two octaves higher or lower than written.
Double bass The double bass (), also known as the upright bass, the acoustic bass, the bull fiddle, or simply the bass, is the largest and lowest-pitched string instrument, chordophone in the modern orchestra, symphony orchestra (excluding rare additions ...
,
bass guitar The bass guitar (), also known as the electric bass guitar, electric bass, or simply the bass, is the lowest-pitched member of the guitar family. It is similar in appearance and construction to an Electric guitar, electric but with a longer nec ...
,
guitar The guitar is a stringed musical instrument that is usually fretted (with Fretless guitar, some exceptions) and typically has six or Twelve-string guitar, twelve strings. It is usually held flat against the player's body and played by strumming ...
, and
contrabassoon The contrabassoon, also known as the double bassoon, is a larger version of the bassoon, sounding an octave lower. Its technique is similar to its smaller cousin, with a few notable differences. Differences from the bassoon The Reed (mouthpie ...
sound an octave lower than written.
Piccolo The piccolo ( ; ) is a smaller version of the western concert flute and a member of the woodwind family of musical instruments. Sometimes referred to as a "baby flute" or piccolo flute, the modern piccolo has the same type of fingerings as the ...
,
xylophone The xylophone (; ) is a musical instrument in the percussion family that consists of wooden bars struck by mallets. Each bar is an idiophone tuned to a pitch of a musical scale, whether pentatonic or heptatonic in the case of many African ...
,
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 ...
, and some recorders ( sopranino,
soprano A soprano () is a type of classical 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 Hertz, Hz to A5 in Choir, choral ...
,
bass Bass or Basses may refer to: Fish * Bass (fish), various saltwater and freshwater species Wood * Bass or basswood, the wood of the tilia americana tree Music * Bass (sound), describing low-frequency sound or one of several instruments in th ...
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 four-part voice leading alto is the second-highest part, sung in ch ...
) sound an octave above the written note.
Glockenspiel The glockenspiel ( ; or , : bells and : play) or bells is a percussion instrument consisting of pitched aluminum or steel bars arranged in a Musical keyboard, keyboard layout. This makes the glockenspiel a type of metallophone, similar to the v ...
, garklein recorder, 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

Many
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 ...
s have one major scale whose execution involves lifting the fingers more or less sequentially from bottom to top. On
flute The flute is a member of a family of musical instruments in the woodwind group. Like all woodwinds, flutes are aerophones, producing sound with a vibrating column of air. Flutes produce sound when the player's air flows across an opening. In th ...
and
saxophone 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 p ...
, and in the second register of the
clarinet The clarinet is a Single-reed instrument, single-reed musical instrument in the woodwind family, with a nearly cylindrical bore (wind instruments), bore and a flared bell. Clarinets comprise a Family (musical instruments), family of instrume ...
, this scale is notated as a C scale. This is not the case for
oboe The oboe ( ) is a type of double-reed woodwind instrument. Oboes are usually made of wood, but may also be made of synthetic materials, such as plastic, resin, or hybrid composites. The most common type of oboe, the soprano oboe pitched in C, ...
(where this scale is D) or
bassoon The bassoon is a musical instrument in the woodwind 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 virtuosity ...
(where it is F). 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.
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. The term ''labrosone'', from Latin elements meaning "lip" and "sound", ...
, when played with no valves engaged (or, for
trombone The trombone (, 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 lips vibrate inside a mouthpiece, causing the Standing wave, air c ...
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 musical ensemble, ensembles. The trumpet group ranges from the piccolo trumpet—with the highest Register (music), register in the brass family—to the bass trumpet, pitche ...
, 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 o ...
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
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. Since the beginning of the 20th century, some composers 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 ( – 5 March 1953) was a Russian composer, pianist, and conductor who l ...
's Piano Concerto No. 1 in D.


See also

* List of transposing instruments


Notes


Sources

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