Music Theoryafter A. Danhauser
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C.2Supplement C, Instruments

Transposing Instruments

After this lesson, you'll understand the difference between written pitch and concert pitch, and you'll know how to work out the written key for a transposing instrument.

10 min7 questionsDanhauser § 32, note 2; Supplement C

Some instruments produce different pitches from the notes on the page. We call them transposing instruments. When a B-flat clarinetist reads a C, you hear a B-flat. The pitch you actually hear is called concert pitch. And the instrument's name, “in B-flat,” “in F” or “in A,” tells you exactly which concert pitch you hear when it reads a C.

The main cases

InstrumentReads C, you hearSo it is writtenWritten key signature, compared with concert
Clarinet, trumpet, bass clarinet in B-flatB-flat (a whole step lower; bass clarinet, a major 9th lower)a whole step higher (bass clarinet in treble clef: a major 9th higher)2 fewer flats or 2 more sharps
Clarinet in AA (a minor third lower)a minor third higher3 fewer sharps or 3 more flats
English horn, horn in FF (a fifth lower)a fifth higher1 fewer flat or 1 more sharp
Alto saxophone (E-flat)E-flat (a major sixth lower)a major sixth higher3 fewer flats or 3 more sharps
Tenor saxophone (B-flat)B-flat (a major 9th lower)a major 9th higher2 fewer flats or 2 more sharps
PiccoloC an octave higheran octave lowersame
Contrabassoon, double bass, guitarC an octave loweran octave highersame
The most common transpositions.

A worked example

Let's try it. The orchestra plays in F major, with 1 flat. What do you write for the B-flat clarinet? You go a whole step higher, to G major, with 1 sharp. And the key signature does have “2 fewer flats”: take 2 flats away from 1 flat and you get 1 sharp.

Sheet MusicConcert
On top, the melody as you hear it, in F major. Below, what the B-flat clarinetist reads: G major, a whole step higher.

The horn in F is written a fifth higher, so the same melody in F major is written in C major for the horn. The English horn follows the same rule. As Danhauser puts it, its key signature has “always one flat fewer or one sharp more than that of the other instruments.”

WorkshopInstrumentsFull screen
Compare written and sounding pitch for each transposing instrument.
Woodwinds
Brass
Percussion
Strings
Keyboards and others
B♭ clarinet
Sounding range
D3 to B♭6 (ré2 to si♭5)
Clefs
treble
Notation
sounds a major second lower than written

Sounding ranges, typical orchestral values: soloists often go higher, and some instruments have extra low notes.

Exercisein the method's spirit

The piece sounds in E-flat major (3 flats). Give the written key and key signature for: a) clarinet in B-flat; b) horn in F; c) alto saxophone in E-flat; d) clarinet in A.

You can now move between written pitch and concert pitch. In the next lesson, we'll go beyond major and minor to explore the modes and other scales. But first, the questions.

Check your understanding

7 questions
1.
A B-flat clarinetist reads a C. What pitch do you hear?
2.
The music sounds in C major. In what key do you write for the horn in F?
3.
For an instrument in B-flat, the written key signature has:
4.
The clarinet in A is written:
5.
The E-flat alto saxophone reads a C. You hear:
6.
Guitar and double bass are written:
7.
A B-flat trumpeter reads in D major. What key is the orchestra in?

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