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Well, it's simple enough. from any note on the outer ring you can go clockwise one notch and find the 5th or counterclockwise to find the 4th. This one they also added the key signatures and the relative minors.
As far as it's reason for existing.. Uhhh... To give first semester music students something to memorize? To have a diagram to fill some space in a textbook? To be honest, I never thought it particularly useful. Anybody who plays probably already knows most of the info in the chart anyway. Face it, probably most beginner violinists already know 1/3 of it because they know the names of their strings. LOL
But so far as a way it could be useful.. Hmm.. Ok, so if you get a VSO that is actually a hopeless case, and decide to make a clock out of it, this could be an interesting alternative to the usual clock face. Use the major keys for telling AM and the minor keys for PM..
Then you could say things like:
"Holy crud, it's already half-past D major? I gotta get some sleep!"
"This young wine may have a lot of tannins now, but in 5 or 10 years it is going to be spectacular, despite the fact that right now it tastes like crude oil. You know this is how it is supposed to taste at this stage of development." ~ Itzhak Perlman

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Are you kidding me? you mean I am the only one who knows what the circle is for? The mystical magical circle of fifthes? Muhahahaha the POWER!!!!
WikiPower!! In music theory, the circle of fifths (or circle of fourths) is a visual representation of the relationships among the 12 tones of the chromatic scale, their corresponding key signatures, and the associated major and minor keys. More specifically, it is a geometrical representation of relationships among the 12 pitch classes of the chromatic scale in pitch class space.
Easy to understand right?
http://en.wikipedia.org/wiki/C....._of_fifths
So, what is it used for? Composing, Transposing and Chords mostly. And mostly how notes relate to each other in those terms. Since none of us really do any of that except maybe FM and he most surely has a computer program do that for him its an archaic tool. But, if you are a composistion geek you might dig it.
Yeah me...! Woohoo!
"Please play some wrong notes, so that we know that you are human" - said to Jascha Heifetz.

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the Abacus is an ancient calculator or register for math stuff. A circle of fifths helps people understand the harmonic relationships between the fourths and fifths in music so they can write music for different instruments. Perhaps the person doing the writing doesnt have all the relationships memorized, this is a quick reference tool.
"Please play some wrong notes, so that we know that you are human" - said to Jascha Heifetz.

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thejazzresource.com recommends this free, interactive tool. complete with examples and quizzes.
http://www.circle-of-fifths.ne.....learn.html
btw, i learn by ear - method #2, but have to repeat it constantly to memorize the letters .
Music is your own experience, your own thoughts, your wisdom. If you don't live it, it won't come out of your horn. They teach you there's a boundary line to music. But, man, there's no boundary line to art. Charlie Parker

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In equal temperament, the circle of fifths is very helpful with piano tuning. It allows assigning an equal interval between the 12 pitches. On a piano the only perfect pitch is A-440. Once the 12 pitches or notes are "tempered" the rest are tuned as octaves, thirds, fifths.
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Mad_Wed said
LoL!The first thing that i've learned in solfeggio was how to add those sharps, flats and how to build a scale =)
FCGDAEB - #
BEADGCF - b
Yes, there is an order of building major/minor scales.
If you randomly write sharps on the staff, there are seven different places to write them. So you could mark up the staff with sharps in 2^7 (two raised to the seventh power), that is, 128 different ways. Similarly you could mark up the staff with flats 128 different ways.
But there are only 12 ways that leave you with a major/minor scale.
There are two basic ways to transform one (major/minor) scale into another:
1) add a flat or remove a sharp at the seventh scale degree, or
2) add a sharp or remove a flat at the fourth scale degree.
Examples of the first way: Adding a flat at B on the C-major scale transforms it to the F-major scale. Removing the sharp at G on the A-major scale transforms it to the D-major scale.
Examples of the second way: Removing the flat at B on the F-major scale transforms it to the C-major scale. Removing the sharp at C on the D-major scale transforms it to the G-major scale.
The first way (add a flat or remove a sharp) is a counter-clockwise step on the circle of fifths, and it decreases the scale's tonic by a perfect fifth. You can also consider this to be an increase of a perfect fourth.
The second way (add a sharp or remove a flat) is a clockwise step on the circle of fifths, and it increases the tonic by a perfect fifth (decreases it by a perfect fourth).
Mad_Wed, you have summarized the circle of fifths in your two sequences of staff positions above. BEADGCF is the order of adding flats and is a counter-clockwise progression on the circle. FCGDAEB is the order of adding sharps and is a clockwise progression. Each notch on the circle corresponds to a scale and a key signature. Moving one notch represents one of the two transformations I describe above.
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