1ed4

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

1ed4

3ed4 →

Prime factorization	n/a
Step size	2400 ¢
Octave	1\1ed4 (2400 ¢)
Twelfth	1\1ed4 (2400 ¢)
Consistency limit	1
Distinct consistency limit	1
Special properties	Highly composite

1 equal division of the 4th harmonic (abbreviated 1ed4) is a nonoctave tuning system that uses equal steps of 4/1, or exactly 2400 ¢.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1, 3/2, 5/2, 5/3, 7/2, 7/3, 7/5, 9/4, 10/9, 11/4, 11/6, 11/9, 11/10, 13/4, 13/6, 13/9, 13/10, 13/11, 14/9, 14/11, 14/13, 15/4, 15/11, 15/13, 15/14, 17/4, 17/6, 17/9, 17/10, 17/11, 17/13, 17/14, 17/15, 19/4, 19/6, 19/9, 19/10, 19/11, 19/13, 19/14, 19/15, 19/17
1	2400	2/1, 3/1, 4/3, 5/1, 6/5, 7/1, 9/2, 9/5, 9/7, 10/3, 10/7, 11/2, 11/3, 11/5, 11/7, 12/11, 13/2, 13/3, 13/5, 13/7, 14/3, 14/5, 15/2, 15/7, 17/2, 17/3, 17/5, 17/7, 18/11, 18/13, 18/17, 19/2, 19/3, 19/5, 19/7, 20/9, 20/11, 20/13, 20/17, 20/19

Harmonics

Approximation of harmonics in 1ed4

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+1200	+498	+0	-386	-702	-969	+1200	+996	+814	+649	+498
	Relative (%)	+50.0	+20.8	+0.0	-16.1	-29.2	-40.4	+50.0	+41.5	+33.9	+27.0	+20.8
Step		1	1	1	1	1	1	2	2	2	2	2

Approximation of harmonics in 1ed4

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+359	+231	+112	+0	-105	-204	-298	-386	-471	-551	-628
	Relative (%)	+15.0	+9.6	+4.7	+0.0	-4.4	-8.5	-12.4	-16.1	-19.6	-23.0	-26.2
Step		2	2	2	2	2	2	2	2	2	2	2