14ed5

The 14 equal divisions of 5/1 system divides the 5th harmoinc or pentave into 14 equal steps of 199.022 cents each. It is essentially a compressed 6edo whole tone scale with a tempered octave of 1194.13 cents.

← 13ed5

14ed5

15ed5 →

Prime factorization	2 × 7
Step size	199.022 ¢
Octave	6\14ed5 (1194.13 ¢) (→ 3\7ed5)
Twelfth	10\14ed5 (1990.22 ¢) (→ 5\7ed5)
Consistency limit	3
Distinct consistency limit	3

Theory

14ed5 is the first ED5 which can reasonably be described as a 5.7.11 subgroup temperament, excluding harmonics 2 and 3 as implied by pentaves, with the mapping ⟨14 17 21]. The best approximation of 7/5 is near 2edo's tritone at 597 cents, while the best approximation of 11/5 is the square root of five, a major ninth of 1393 cents.