Prime Harmonic Dimensions

Prime Harmonic Dimensions is the book's reading of a universe's dimensions from its harmonic series: its actual, fundamental dimensions are its prime harmonics, each an independent axis of the lattice every harmonic lies in. A harmonic series is every whole multiple of the fundamental, not only the octaves. Every whole number is a product of primes in one way only, so every harmonic is a point on axes, one for each prime (Euler's lattice; Partch; Tenney). The primes a universe holds in tune, up to its prime limit, are its actual dimensions; the composites are its Etheric Harmonics. For ours the limit is 7: the octave, 2, the pulse's own repetition, is read as time, and 3, 5 and 7 as the three dimensions of space. The binding rule that fixes the limit for each level is open; it gives D = 2 at the Zinf and D = 4 from level 1 through ours, and a larger universe could hold 11 or 13 in tune and have a fifth or sixth. Formally, h = 2^a · 3^b · 5^c · 7^d, where h [∅] is a harmonic's number and a, b, c, d [∅] its steps along the axes of 2, 3, 5 and 7: [∅] = [∅]. It connects to Etheric Harmonics, Harmonic Distance, Harmonic Series, Dimensional Saturation Threshold, Dimensional Failure Law and Square Pulse Spectrum.

Category: Manuscript

Chapter: Chapter 4

Importance Level: