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^This sequence of fifths features the diminished fifth (b, f), which replaces the perfect fifth (b, f♯) containing the chromatic note f♯, which is not a member of the C majorkey.
The note f (of the C major scale) is replaced by the note f♯ in the Lydian chromatic scale (Russell, "The fundamental harmonic structure of the Lydian scale", Example 1:7, "The C Lydian scale", p. 5). Russell, George (2001) . "Chapter 1 The Lydian scale: The seminal source of the principal of tonal gravity". George Russell's Lydian chromatic concept of tonal organization. Volume One: The art and science of tonal gravity (Fourth (Second printing, corrected, 2008) ed.). Brookline, Massachusetts: Concept Publishing Company. pp. 1-9. ISBN0-9703739-0-2.