2edt

← 1edt

2edt

3edt →

Prime factorization	2 (prime) (highly composite)
Step size	950.978 ¢
Octave	1\2edt (950.978 ¢) (convergent)
Consistency limit	3
Distinct consistency limit	2

Theory

As a temperament in the 3.5 subgroup, it tempers out 27/25, equating 5/3 with 9/5.

Since 26/15 is a convergent of sqrt(3), 26/15 (and its tritave complement 45/26) are good rational representations of the square root of 3. 2edt thus tempers out (26/15)² / (3/1) = 676/675, the island comma.

One step of 2edt is close to the optimal TE generator of monzismic temperament, which tempers out [54 -37 2⟩, the monzisma.

Odd harmonics

Approximation of odd harmonics in 2edt

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0	+67	+435	+0	-347	+314	+67	-150	-343	+435	+278
	Relative (%)	+0.0	+7.0	+45.8	+0.0	-36.5	+33.1	+7.0	-15.8	-36.0	+45.8	+29.2
Steps (reduced)		2 (0)	3 (1)	4 (0)	4 (0)	4 (0)	5 (1)	5 (1)	5 (1)	5 (1)	6 (0)	6 (0)