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9 votes

Could a 3D sphere of fifths reveal more insights than the 2D circle of fifths?

A circle is actually a one-dimensional figure. The two-dimensional figure that we think of when we hear "circle" is a disk. A circle is one dimensional because, given a circle, you can ...
phoog's user avatar
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4 votes

Could a 3D sphere of fifths reveal more insights than the 2D circle of fifths?

Assuming enharmonic equivalence, any mapping of (perfect) fifths will eventually wrap around onto itself. As such, in a two-dimensional representation, distance isn't always as clear as one might hope ...
Richard's user avatar
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3 votes

Could a 3D sphere of fifths reveal more insights than the 2D circle of fifths?

A 3D model of fifths would not be a sphere. A friend of mine says that this is what bothers him about the "circle of fifths": That it isn't in fact a circle; it's a helix. He'd like that ...
Divizna's user avatar
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2 votes

can anyone help me in writing a quartet

Writing a quartet is a challenging task, especially considering the vast repertoire left by the great composers of the past. My advice would be: Expand your musical library: Listen to as many ...
Arshia Firouz's user avatar
2 votes
Accepted

Humming to Brian Eno's "Needles in the Camel's Eye"

What you are humming is actually the top notes of the guitar chords of an 8 bar progression. Our ears tend to gravitate to the top notes when we hear chords. In this case the notes are better referred ...
John Belzaguy's user avatar
1 vote

Humming to Brian Eno's "Needles in the Camel's Eye"

A principal element in music is not pitch in and of itself, but the interval– the "distance" – between pitches. Each interval has a characteristic sound that is distinct from other intervals....
Aaron's user avatar
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1 vote

Secondary Dominant Harmony vs Diatonic Melody

This is a video I used to get both audio and the score... From your comments in the chat room it seems your question is mostly about whether the song was meant to teach ...
Michael Curtis's user avatar
1 vote

Could a 3D sphere of fifths reveal more insights than the 2D circle of fifths?

Note that the "circle" of fifths is schematically a polygon (dodecagon), in which we can model the keys (or pitches) as vertices, and the relationships between them as edges. (Whether the ...
LarsH's user avatar
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