Brass | Introduction
Brass instruments are a far more homogeneous group than woodwinds. All brass instruments produce their sound when lips are vibrated into a mouthpiece. Beyond the mouthpiece, the most important element in the structure of all brass instruments is a flaring bell at the end of the tubing, which not only amplifies the sound but also helps the higher partials to speak clearly and evenly. Brass instruments began their evolution as outdoor instruments, designed to be loud. Intimacy and delicacy can be achieved only by working against this disposition. To appreciate just how loud brass instruments can be, consider the following: It’s a common rule of orchestration thumb that it takes two horns to match the volume of one trumpet, but if that trumpet is playing relatively high and as loud as it can, an entire army of horns couldn’t match it. Still, when one horn is gathered with four woodwinds in a woodwind quintet, it takes all the skill the composer and hornist can muster to keep that instrument from overpowering the ensemble. Though quiet dynamic levels do not come naturally to brass, brass instruments can play very softly through a large part of their range, and this vast dynamic range makes modes of articulation and dynamic shaping available to brass that woodwinds and strings can only weakly imitate. With mutes, brass can play at the threshold of audibility. The dynamic compass of the brass section is matched only by the percussion section. The brass’s ability to project richly blended harmonic sonorities equals or surpasses the strings.
PITCH SELECTION IN BRASS INSTRUMENTS. Pitch selection in brass instruments is the simple product of only two factors:
1) The fundamental pitch of the instrument, determined by the length of the tubing of the instrument at the time the note is played, selected by valves or slide position.
2) The particular partial in the harmonic series of that fundamental, selected by the player’s embouchure.
Pitch Factor 1: Selection of the Fundamental. Until the middle of the 19th century, brass instruments (excepting trombones) were generally limited to the single fundamental designated by the “key” of the instrument. A trumpet in D, for example, could only play those notes available in the harmonic series of D. Modern brass instruments have valves and slides that give the player the option of choosing instantaneously from at least seven different fundamentals, selecting the “key” of their instrument for every note.
The valves and slides of brass instruments operate on inverse principles from the functioning of the keys on woodwind instruments. Woodwind keys open and close tone holes drilled in the instrument, effectively shortening its length and raising the pitch. Brass valves (or slides) generally add tubing to the instrument, extending its length and creating lower fundamentals. When playing a brass instrument, “pressing the right button” hardly guarantees playing the right note. Each “button” — a valve combination or slide position — merely provides a harmonic series on which anywhere from 6 to 16 notes can be played.
Only seven fundamentals are necessary to make available a complete chromatic scale in the octave above the fundamental. The fundamental is set by the seven positions of the trombone slide or by three keys of valved instruments, used in various combinations. The trombone slide adds length to the tubing by extending the “tube-within-a-tube,” while valve instruments use pistons or rotary valves to channel the air through extra units of tubing when they are depressed. On all valved brass instruments,
Valve 1: Lowers the pitch a major 2nd.
Valve 2: Lowers the pitch a minor 2nd.
Valve 3: Lowers the pitch a minor 3rd.
By combining the three valves in different ways, it is possible to lower the fundamental of the harmonic series as much as a tritone. The chart below shows how the seven trombone slide positions correspond to valve combinations, and how this successive addition of tubing is used to play a chromatic scale:
* Although trombones and tubas are notated at pitch, their open fundamental may be B♭, F, C, or E♭.
Sidebar: The Inherent Dysfunction of Valves: Arithmetical vs. Geometrical
The combining of valves to create intervals is not quite a perfect system. Tube lengths are added together to lower the pitch a certain interval, but intervals are proportional, not absolute. The amount of tube length needed for the third valve to lower any given fundamental a minor 3rd is not a consistent length but a percentage of the length of the prevailing fundamental. (The ratio that creates a minor 3rd is 6:5.) As a compromise, the length of the third valve is correct only when used in conjunction with the second valve. It’s too long when used by itself (so it will sound flat) and too short when used with the first valve (it must be “lipped down” — see below) and much too short when all three are used (a tuning slide is necessary).
Pitch Factor 2: Selection of the Partial Once the fundamental has been set, players use their embouchure to select a partial from that fundamental’s harmonic series to play the desired pitch. For example, here are the pitches theoretically available for each of the tenor trombone’s slide positions and the B♭ trumpet’s valve combinations: (Horn and tuba mirror these.)
In practice, the fundamental itself, called a pedal tone, is not used in normal trumpet writing, and the pedal tones of a tenor trombone are rarely used below 3rd position. Trumpets and trombones rarely play above the 10th partial, and the 7th and 11th partials are nearly a quarter-tone flat. When read from top to bottom, the chart demonstrates that there is a tritone of pitches available for each partial; note that the tritone spans made available on the 2nd and 3rd partials connect to form an octave chromatic scale. As the partials get higher and closer together, it becomes possible to play a given pitch in an increasing number of positions or valve combinations. For example, notice how B♭4 can be played on the trombone as the 8th partial in first position, the 9th partial in third position, the 10th partial in fifth position, and the adjusted 11th partial in seventh position.
The design of individual brass instruments and the mouthpieces employed tend to favor the playing of the particular segment of the harmonic series used in the regular tessitura of each instrument. As noted above, pedal tones are easier to play on the trombone than on the trumpet and are easier still on the bass trombone than on the tenor trombone. A modern trumpet responds most comfortably to the 3rd through 8th partials, while the core of the horn range is the 4th through 12th partials. The “original instrument” Baroque trumpet in C is twice as long as a modern C trumpet and was designed to project very high partials: without the benefit of valves, the Baroque trumpet can play a scale formed by the 8th through 16th partials (in conjunction with lip adjustments to finesse the out-of-tune partials).
The vibration speed of the player’s lips, controlled by the tension of the embouchure (which is, in turn, greatly influenced by the size and shape of the mouthpiece) favors a particular tessitura of the pitch spectrum, regardless of the length of the tubing. One common misconception concerning brass instruments is the assumption that the length of the instrument is the principal factor in determining its range possibilities.
It seems reasonable to expect that, since flute players can generally play an octave higher on the piccolo (a half-sized flute), trumpet players should similarly have no problem playing an octave higher on the piccolo trumpet (a half-sized trumpet). In reality, however, this is not the case. While high notes are more secure on a piccolo trumpet, the actual range is extended upward only about a 3rd.
It might also seem logical to assume that, since tenor trombone players can comfortably play the fundamental B♭1 in first position, extending the slide to the length of the E1 fundamental would make that note just as playable. But pedal tones on the tenor trombone become less and less secure as the slide extends.
One more example: Since bass trombone players are more comfortable with lower pedal tones, one might assume that the bass trombone is longer than the tenor, but this is not the case: disregarding a possible extra trigger not involved in this example, bass trombones are exactly the same length as tenor trombones. The bore and, more significantly, the mouthpiece cup size make the bass trombone more low-note friendly by promoting a slower vibration of the lips.
Regardless of the size of the instrument, the player’s lips must create the pitch by vibrating at the correct frequency in response to the airstream. Brass players spend most of their practice time coordinating their ears and embouchures in the range of their chosen instrument. Since the lips are also capable of (and responsible for) a wide latitude of intonation possibilities once a partial is found and sounded (e.g., some 3rd valve notes must be “lipped down”), coordination between the ear and the lips has to be highly developed. Brass players must hear the note before playing and produce the precise embouchure-to-airstream balance in order to enter cold on a high note. Because of this, playing a passage with many large leaps is substantially more difficult on brass than on other instruments.
Vibrato: In addition to defining the pitch (that is, selecting the appropriate partial) and adjusting the intonation (“lipping” up or down), brass players’ lips are also generally responsible for vibrato, and some kinds of trills and glissandos. American classical brass players use vibrato sparingly, occasionally adding a touch to a lyric line. Some players employ the diaphragm or jaw to execute vibrato, or create lip vibrato with a slight shake of the hand holding the instrument. Trombones may use slide vibrato.
Trills: Brass trills are of two types: lip trills and valve trills.
- Lip trills: Generally smoother but can only be performed in registers where partials are a whole-step or half-step apart. A tremolo over larger spaced partials is termed a “shake” and usually entails moving the jaw and the instrument itself to amplify the lip trill.
- Valve trills: Involve a rapid fluttering of the 2nd valve (for half-step trills) or 1st valve (for whole-step trills). Half-step valve trills work well anywhere on valved brass, but whole-step valve trills can be a problem in regions where partials are close — the lips may independently shift to another partial closer in pitch.
Glissandos: Glissandos on brass instruments are executed three different ways.
- Half-Valve: “Half-valve” glisses result from the unstable condition of the tubing created when valves are held in a midway position. The confusion of the air column prevents the lips from snapping into focus, allowing the lips to move the pitch freely around the instrument; the price for this freedom is paid in tone quality. Confusion of the air column can also be created by moving the valves so rapidly that stability cannot be established, resulting in the same kind of lip freedom as “half-valving.”
- Harmonic Gliss: The harmonic gliss is very simply a fast legato arpeggiation of the harmonic series by the lips; the fundamental (valve or slide position) stays immobile. Obviously, harmonic glisses are more effectively executed in ranges where partials are close together.
- Slide Gliss: The slide gliss is most conspicuous on the trombone with its tritone spanning slide, but other brass instruments have slides, too — tuning slides and valve slides, which can be employed to create small but beautifully effective glissandos. Even a slide gliss of a half step can be effective.
- Pitch Bend: A half-step pitch bend is readily executed on all brass instruments, and a bend of a whole step downward ispossible in ranges where the partials are more than a 3rd apart.