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While this system is absurdly large for any human application, from a technical standpoint it is the only one that rightfully bears the name [[Microtonal|'''microtonal''']], since it divides a tone, which is 1/6th of an octave, into 1'000'000 steps, and the SI prefix "micro-" denotes division of a unit into 1 million parts. | While this system is absurdly large for any human application, from a technical standpoint it is the only one that rightfully bears the name [[Microtonal|'''microtonal''']], since it divides a tone, which is 1/6th of an octave, into 1'000'000 steps, and the SI prefix "micro-" denotes division of a unit into 1 million parts. | ||
== Theory == | |||
6'000'000 factorizes as <math>2^7 \cdot 3 \cdot 5^6</math>. It has 112 divisors, most notable being {{EDOs|128 and 3125}}. | |||
Revision as of 11:51, 24 October 2021
The 6 million divisions of the octave, or literal microtonal system, divides the 2/1 into steps of exactly 0.0002 cent, or 200 microcent each.
While this system is absurdly large for any human application, from a technical standpoint it is the only one that rightfully bears the name microtonal, since it divides a tone, which is 1/6th of an octave, into 1'000'000 steps, and the SI prefix "micro-" denotes division of a unit into 1 million parts.
Theory
6'000'000 factorizes as [math]\displaystyle{ 2^7 \cdot 3 \cdot 5^6 }[/math]. It has 112 divisors, most notable being 128 and 3125.