401edo

← 400edo

401edo

402edo →

Prime factorization	401 (prime)
Step size	2.99252 ¢
Fifth	235\401 (703.242 ¢)
Semitones (A1:m2)	41:28 (122.7 ¢ : 83.79 ¢)
Dual sharp fifth	235\401 (703.242 ¢)
Dual flat fifth	234\401 (700.249 ¢)
Dual major 2nd	68\401 (203.491 ¢)
Consistency limit	3
Distinct consistency limit	3

Theory

401et tempers out 283115520/282475249 and 703125/702464 in the 7-limit; 35156250/35153041, 2097152/2096325, 117649/117612, 226492416/226474325, 9765625/9732096, 42875/42768, 1375/1372, 5632/5625, 15488/15435, 202397184/201768035, 102487/102400 and 805255/802816 in the 11-limit. It provides the optimal patent val for diatessic temperament.

Approximation of odd harmonics in 401edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.29	-0.28	+0.75	-0.42	-0.69	+0.37	+1.01	-0.22	-1.25	-0.96	+0.15
	Relative (%)	+43.0	-9.3	+25.1	-14.0	-23.2	+12.4	+33.7	-7.3	-41.9	-31.9	+5.2
Steps (reduced)		636 (235)	931 (129)	1126 (324)	1271 (68)	1387 (184)	1484 (281)	1567 (364)	1639 (35)	1703 (99)	1761 (157)	1814 (210)

Scales

• Starlingtet11
• Diatessic27