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High brass - from the top left: Baroque trumpet in D, modern trumpets in B and D (same pitch D as Baroque), piccolo trumpet in high B, Flugelhorn in B; right: cornet in B. The pitch of a brass instrument corresponds to the lowest playable
resonance frequency Resonance describes the phenomenon of increased amplitude that occurs when the frequency of an applied periodic force (or a Fourier component of it) is equal or close to a natural frequency of the system on which it acts. When an oscill ...
of the open instrument. The combined resonances resemble a harmonic series. The
fundamental frequency The fundamental frequency, often referred to simply as the ''fundamental'', is defined as the lowest frequency of a periodic waveform. In music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present. I ...
of the harmonic series can be varied by adjusting the length of the tubing using the instrument's valve, slide, key or crook system, while the player's embouchure, lip tension and air flow serve to select a specific harmonic from the available series for playing. The fundamental is essentially missing from the resonances and is impractical to play on most brass instruments, but the overtones account for most pitches. The following table provides the pitch of the second harmonic (the lowest playable resonance on most brass instruments, an octave above the fundamental frequency) and length for some common
brass instrument 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 ...
s in descending order of pitch. This pitch is notated transpositionally as
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 freq ...
for many of these brass instruments.


Range

The normal playing range of most three-valved brass instruments extends from three
whole tone In Western music theory, a major second (sometimes also called whole tone or a whole step) is a second spanning two semitones (). A second is a musical interval encompassing two adjacent staff positions (see Interval number for more deta ...
s below the 2nd harmonic of the instrument to the 10th harmonic. Skilled players can produce tones outside this range. For many transposing brass instruments, this range is written as extending from F♯ below middle C to E two octaves and a third above middle C. The orchestral horn is an exception as it was classically assigned a range beginning at its fourth harmonic.


Whole tube vs half tube

The ease with which a player produces the fundamental note of each harmonic series for each tubing length of a modern brass instrument varies with the instrument's design. As bore width increases relative to length, it becomes easier for the player to resist the instrument's tendency to jump to the second harmonic instead of producing the fundamental frequency. Brass instruments with sufficient bore to play fundamentals with relative ease and accuracy are called "whole-tube" instruments, while instruments that are limited to the second harmonic as a lowest note in practical use are called "half-tube" instruments. These terms stem from a comparison to
organ pipe An organ pipe is a sound-producing element of the pipe organ that resonates at a specific pitch when pressurized air (commonly referred to as ''wind'') is driven through it. Each pipe is tuned to a specific note of the musical scale. A set of ...
s, which produce the same pitch as the pedal tone (fundamental) of a brass instrument of equal length. Certain low brass instruments such as
trombone 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 vibra ...
,
tuba The tuba (; ) is the lowest-pitched musical instrument in the brass family. As with all brass instruments, the sound is produced by lip vibrationa buzzinto a mouthpiece. It first appeared in the mid-19th century, making it one of the ne ...
,
euphonium The euphonium is a medium-sized, 3 or 4-valve, often compensating, conical-bore, tenor-voiced brass instrument that derives its name from the Ancient Greek word ''euphōnos'', meaning "well-sounding" or "sweet-voiced" ( ''eu'' means "well" o ...
, and
alto horn The tenor horn (British English; alto horn in American English, Althorn in Germany; occasionally referred to as E horn) is a brass instrument in the saxhorn family and is usually pitched in E. It has a bore that is mostly conical, like the flu ...
are whole-tube and can play the
fundamental tone The fundamental frequency, often referred to simply as the ''fundamental'', is defined as the lowest frequency of a periodic waveform. In music, the fundamental is the musical pitch of a note that is perceived as the lowest partial present. ...
of each harmonic series with relative ease. Furthermore, the low brass often use extra valves to extend their range uniformly, since the fundamental is
chromatic Diatonic and chromatic are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony. They are very often used as a pa ...
ally discontinuous with the lowest 2nd harmonic reachable on a three-valve instrument or via the seven-position slide on a trombone. Trombone and tuba in particular are often called upon to play pedal tones and "false tones" or "privileged tones" which have a pitch between the normal range and the fundamental.


Horn

The modern standard orchestral horn is a double B/F horn. The player can switch between the two modes using a thumb-operated fourth valve. The fundamental pitch of the F horn is near that of the
tuba The tuba (; ) is the lowest-pitched musical instrument in the brass family. As with all brass instruments, the sound is produced by lip vibrationa buzzinto a mouthpiece. It first appeared in the mid-19th century, making it one of the ne ...
. Horn notation is a complex subject beyond the scope of this article, but what is written as middle C for the horn is the fourth harmonic of the unlengthened instrument, not the second. Horn music makes greater use of the higher range of the harmonic series than do most other modern brass instruments.


Bass trombone

The modern
bass trombone The bass trombone (german: Bassposaune, it, trombone basso) is the bass instrument in the trombone family of brass instruments. Modern instruments are pitched in the same B♭ as the tenor trombone but with a larger bore, bell and mouthpiece to ...
is the same length as a tenor trombone, but typically has two valves, pitched in F and G♭. When combined, these valves put the instrument into D. The modern
contrabass trombone The contrabass trombone (german: Kontrabassposaune, it, trombone contrabbasso) is the lowest instrument in the trombone family of brass instruments. First appearing built in 18′ B♭ an octave below the tenor trombone, since the late 20th ce ...
is usually constructed in F and fitted with two valves in either D and B♭ combining to give A♭, or in C and D♭ combining to give A. The less common double slide contrabass in low B♭ is often fitted with a valve in F. All these instruments are notated in bass clef at concert pitch.


Tuba

The bass tuba is commonly available in F and E, while contrabass tubas are available in C and B.


References

{{Brass instruments Pitch
Brass Brass is an alloy of copper (Cu) and zinc (Zn), in proportions which can be varied to achieve different mechanical, electrical, and chemical properties. It is a substitutional alloy: atoms of the two constituents may replace each other wit ...