11ed5/3

11 equal divisions of 5/3 (abbreviated 11ed5/3) is a nonoctave tuning system that divides the interval of 5/3 into 11 equal parts of about 80.4 ¢ each. Each step represents a frequency ratio of (5/3)^1/11, or the 11th root of 5/3. It corresponds to 14.9261edo, making it a stretched version of 15edo.

← 10ed5/3

11ed5/3

12ed5/3 →

Prime factorization	11 (prime)
Step size	80.3962 ¢
Octave	15\11ed5/3 (1205.94 ¢) (semiconvergent)
Twelfth	24\11ed5/3 (1929.51 ¢)
Consistency limit	8
Distinct consistency limit	7

Approximation of harmonics in 11ed5/3

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+5.9	+27.6	+11.9	+27.6	+33.5	+7.8	+17.8	-25.3	+33.5	+29.3	+39.4
	Relative (%)	+7.4	+34.3	+14.8	+34.3	+41.7	+9.7	+22.2	-31.5	+41.7	+36.4	+49.1
Steps (reduced)		15 (4)	24 (2)	30 (8)	35 (2)	39 (6)	42 (9)	45 (1)	47 (3)	50 (6)	52 (8)	54 (10)

Music

Francium

• "Cuckoo Toad" from Cursed Cuckoo Creations (2024) – Spotify | Bandcamp | YouTube

This page is a stub. You can help the Xenharmonic Wiki by expanding it.