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The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game (2)

Update:

fig.6.4:
(1) n∋0: f × 7^(0/12) = f×1 = f, this isn't an exponent acceleration, e.g. C1 = C2 = ... = Cn in this case.
But p = 0 of Fp, C1 = C2 = ... = Cn ← the complement, i.e. {0, 10, 100, .... , ∞} | 1 ∋ complement.
(2) Instead of n = 0, e.g. C4 ≒ 261.1Hz, B3 ≒ 246.9, B3 × 2^(1/12) ≒ 261.1Hz ≒ C4, here is an exponent acceleration of equal temperament.
From 2^x to p^x is in Fp, F2 includes Galois imaginary number, Fp+s (s is a number) is requirement for [0, 0]interval of music (see fig.1, 2, and 3).

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The new music theory, as music and mathematics are common denominator, of the novel Glass Bead Game (2) – Kyo’s Blog (kyonissho.com)

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