Posted by: cflat
Date: 10 Jun 2007 19:03
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This system uses fourths and fifths to arrange the
keys into a table that is easy to memorise. Though it isn't necessary to
memorise the tables. Just remember the rules that the tables demonstrate.
The following tables are split into two sections:
Keys containing sharps, which uses ascending fifths.
And keys containing flats, which uses ascending fourths.
Both charts begin with C, which contains no sharps or flats.
KEY NO. OF SHARPS
C 0
G 1 (F#)
D 2 (F#, C#)
A 3 (F#, C#, G#)
E 4 (F#, C#, G#, D#)
B 5 (F#, C#, G#, D#, A#)
You'll notice from the above chart that as you move up in fifths through the
keys, that the number of sharps increases by one. Also that you retain the sharp
or sharps from the preceeding key and add a sharp which is a fifth above the
previous sharp. For intance, the key of G contains 1 sharp, F#. The key of D is
a fifth above G and contains 2 sharps. You retain the F#, go up a fifth to C#
and add it to get your 2 sharps. The key of A is a fifth above D and has 3
sharps. You retain the F# and C# and then go up a fifth from C# to G# and add it
to get your 3 sharps, and so on.
Other keys:
KEY NO. OF FLATS
C 0
F 1 (Bb
Bb 2 (Bb, Eb)
Eb 3 (Bb, Eb, Ab)
Ab 4 (Bb, Eb, Ab, Db)
Db 5 (Bb, Eb, Ab, Db, Gb)
Gb 6 (Bb, Eb, Ab, Db, Gb, Cb)
This time we see that as you move up in fourths through the keys that the number
of flats increases by one. And as with the first chart, the flat or flats from
the preceeding key are retained but this time the flat that is added is a FOUTH
aboe the previous one.
Notice that the key of Gb has a Cb in it. This cannot be called a B because
there is already a Bb and you cannot have two different notes with the same name
in the same scale. The key of Gb could of course be called the key of F# but
then you whould get an E#, which cannot be called F because you already have an
F# in the scale. If you continue the first chart to the next key, which is F#,
you'll find this out.
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