Circle of fifths

Circle of fifths

In music theory, the circle of fifths is a way of organizing the 12 chromatic pitches as a sequence of perfect fifths. (This is strictly true in the standard 12-tone equal temperament system — using a different system requires one interval of diminished sixth to be treated as a fifth). If C is chosen as a starting point, the sequence is: C, G, D, A, E, B (=C♭), F♯ (=G♭), C♯ (=D♭), A♭, E♭, B♭, F. Continuing the pattern from F returns the sequence to its starting point of C. This order places the most closely related key signatures adjacent to one another. It is usually illustrated in the form of a circle. (Wikipedia).

Circle of fifths
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Related pages

Perfect fifth | Equal temperament | Permutation | Pythagoras | Diatonic scale | Cent (music) | 53 equal temperament | Multiplicative group of integers modulo n | Pitch class | Perfect fourth | Ii–V–I progression | Multiplication | Modulo operation | Pythagorean comma | Cyclic group | Euclid | Order theory | Structure implies multiplicity | Pythagorean tuning | Modular arithmetic