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Last issue we
discussed some of the many things we can learn from the Circle
of 4ths, and I asked some questions which you ostensibly have
been thinking about during the interim.
In this issue, I would like to go over
each of those questions and see if we can squeeze a glass of
insight out of them.
The first question was: "What are the
primary chords in the Key of E?" Looking at the Circle of
4ths, we simply select E and the chord to the left and to the
right of E -- those are the primary chords -- E, A, and B.
Second: "What chord would normally
follow E?" Since we know that the natural inclination of
chords is to move up a 4th, we simply take the next chord to
the right of E -- which is A -- and that A is a 4th higher
than E, and the most likely target for a move from E.
Third: "Which chords are the most
unlikely in the Key of E?" Look straight across the Circle of
4ths from E. What do you see? F and Bb. They are the least
likely chords to occur in the key of E, because they are "a
world away" from E.
Fourth: "What are the secondary
chords in the Key of E?" Look left from E past B around the
circle and you come to F#, C#, and G#.
Fifth: "What is the order of the
flats?" There are 7 possible flats, and they always occur in
the same order in a key signature. The first flat is always
Bb, then just continue around the Circle of 4th clockwise
until you have all 7 flats -- Bb, Eb, Ab, Db, Gb, Fb, and Cb.
Sixth: "What is the order of the
sharps?" Same idea, only go counter-clockwise around the
circle. F# is always the first sharp in a key signature, so:
F#, C#, G#, D#, A#, E#, B#.
Seventh: "How many sharps are there
in the key of E?" Count the number of keys E is beyond C, and
you have your answer! (G, D, A, E = 4).
Eighth: "How many sharps or flats
does each key contain?" Easy. Just count how far the key is
from C, and you have your answer. For example, F is one key
away from C, isn't it? So the key of F has one flat. How far
is G away from C? Right. One key. So the key of G has one
sharp. Db is 5 keys away from C, so it has 5 flats. B is five
keys away from C the other way, so it has 5 sharps. Get the
idea? If not, hang in there and think about it. You'll get it.
Ninth: Which chords are enharmonic ?
(enharmonic means that there is more than one name for the
same pitch) Easy again. Db is the same as C#, isn't it? Same
place on the circle, same sound -- so it has to be enharmonic.
Tenth: Which keys are enharmonic?
Same idea exactly. Since Bb and A# are the same note, same
pitch, same place on the circle, they are enharmonic keys as
well.
Eleventh: "What is the relative minor
key of each major key?" Just count 4 keys counter-clockwise,
and you have the relative minor key. For example, C major is
relative to A minor, because A is four keys counter-clockwise
around the circle. Dm is relative to F major for the same
reason, and so on.
We're up to eleven things the Circle
of 4th can reveal to us, and we've barely scratched the
surface.
But that's enough for this time. More
next issue.
Meanwhile, check out the nifty and
helpful piano courses on CD and DVD at
www.playpiano.com
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