Lesson 20: Key
Transposition
In Lesson 18,
we learned how to transpose music up or down one octave, sometimes into
another clef. In this lesson, we will learn how to transpose music up
or down into another key.
Take a look at the following short excerpt:
It is in G-major. We know this because there is one
sharp in the key signature, and there are no D-sharps to indicate a
leading tone to E-minor. (If this is not clear, re-read Lesson 16 (Key Identification)
Play the melody above several times. Now, try
listening to this version:
You will notice that although it starts on a different
pitch, it somehow sounds "the same" as the previous melody. This melody
has been transposed into a new key, F-major. Here is what it looks
like:
There are several ways to transpose melodies, and it
is recommended that you become familiar with all of them, and use one
method to check against the other. The following three methods will assume
that you have been given the original key, and the key that you will be
transposing the melody to. Let's use these methods to transpose our melody
from G-major to F-major.
The first step to using any of the following three
methods is to place the clef, time signature, and the new key signature on
a staff, like this:
METHOD 1. Transposing by Scale Degree (Technical Name)
When transposing a melody into a new key, the scale
degrees, or technical names, will remain the same. In other
words, if the melody begins on the tonic in the original key, it will
begin on the tonic of the new key. If it ends on the submediant in the
original key, it will end on the submediant of the new key, and so on. In
the first example above, the melody begins on the mediant (3rd degree) of
the original key, G-major. Therefore, the new melody will begin on the
mediant (3rd degree) of the new key, F-major:
You can then go through the entire G-major version of
the excerpt, determine the technical name (scale degree) of each note, and
write the same degree in the new F-major version.
Here is another way to do it:
METHOD 2. Transposing by Harmonic
Interval
You know that the original key is G-major and the new
key is F-major. Now determine the interval
between those two notes: From your knowledge of intervals, you know that
the 'F' is a major 2nd lower than the 'G'. Therefore all the notes in
the new melody will be a major second lower than the original G-major
melody:
3. Transposing by Melodic Interval
Take the original melody and determine the intervals
between each successive note of the melody:

Then determine the first note of your new, transposed
melody. Do this by using Method 1 (Technical name). Once you have
determined that 'A' is your starting note, apply the intervals of the
original melody to the new melody, like this:

Transposing melodies where the key is vague or the melody is
atonal.
As stated before, it is advisable to use all three
methods throughout the transposing process, checking one against the
other. This is especially true when dealing with accidentals, or in
situations where the melody is atonal. An atonal melody is a melody
in which there is no tonal centre, and the music is not in any particular
key. Study this rather complicated excerpt:
You might think that since the key signature has no
sharps or flats, it is therefore in C-major or A-minor. But this melody
has many accidentals that cannot be explained by either of those keys.
Therefore we would be correct to say that the melody is probably atonal.
If you listen to the excerpt, you will see that it does not seem to centre
on any key. So how do we transpose it?
Obviously, if the key of the melody is irrelevant, we
would not likely be asked to transpose it to a particular key: we would
likely be asked to transpose it by a certain interval. Let's transpose it
up a major 3rd. Our first note will be a major third above 'A', which is
'C-sharp': We can proceed in this manner, transposing every
note up a major third. Don't forget to check your progress using the other
methods discussed in this lesson. For example, using Method 3 (melodic
intervals) we know that the second note in this excerpt is a minor
3rd higher than the first note. Therefore, in our new transposed
melody, the first note will be C#, and the second note will be 'E', and so
on.
The third note in the excerpt is E-flat. We can
transpose it correctly by either: Method 2 (harmonic interval)-
writing the note that is a major 3rd higher ('G'); or Method 3 (melodic
interval)- writing the note that is a major 6th lower than the
previous note. Here is the melody, correctly transposed a major 3rd
higher:
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