The Architecture of Music

The Circle of Fifths

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The Circle of Fifths and The Frequencies of Notes

The frequencies of the notes, how they are calculated mathematically using fractional exponents, and the generally accepted approximate frequency ratios of the intervals have been added to the circle of fifths below. What is interesting to note is that the frequency ratios of the three intervals furthest away from the central note (min2, aug4, maj7) are more complex than the frequency ratios of the other intervals and require larger numbers to approximate. These three intervals sound in more dissonanant compared to the other intervals as well.

The Circle of Fifths and Frequency of Notes