3ed5/2

This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

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3ed5/2

4ed5/2 →

Prime factorization

3 (prime)

Step size

528.771 ¢

Octave

2\3ed5/2 (1057.54 ¢)
(semiconvergent)

Twelfth

4\3ed5/2 (2115.08 ¢)

Consistency limit

2

Distinct consistency limit

2

3 equal divisions of 5/2 (abbreviated 3ed5/2) is a nonoctave tuning system that divides the interval of 5/2 into 3 equal parts of about 529 ¢ each. Each step represents a frequency ratio of (5/2)^1/3, or the 3rd root of 5/2.

NEJI approximation

266:361:490:665