2ed5/4

2ED5/4 is the equal division of the just major third into two parts of 193.1569 cents each, corresponding to 6.2126 edo. It is related to the temperaments meantone and luna.

← 1ed5/4

2ed5/4

3ed5/4 →

Prime factorization	2 (prime) (highly composite)
Step size	193.157 ¢
Octave	6\2ed5/4 (1158.94 ¢) (→ 3\1ed5/4)
Twelfth	10\2ed5/4 (1931.57 ¢) (→ 5\1ed5/4)
Consistency limit	3
Distinct consistency limit	3

Intervals

degree	cents value	ratio
0	0.0000	1/1
1	193.1569	(5/4)1/2
2	386.3137	5/4
3	579.4706	(5/4)3/2
4	772.6274	(5/4)2 = 25/16
5	965.7843	(5/4)5/2
6	1158.9411	(5/4)3 = 125/64
7	1352.0980	(5/4)7/2
8	1545.2549	(5/4)4 = 625/256
9	1738.4117	(5/4)9/2
10	1931.5686	(5/4)5 = 3125/1024
11	2124.7254	(5/4)11/2
12	2317.8823	(5/4)6 = 15625/4096
13	2511.0391	(5/4)13/2
14	2704.1960	(5/4)7 = 78125/16384
15	2897.3529	(5/4)15/2
16	3090.5097	(5/4)8 = 390625/65536
17	3283.6666	(5/4)17/2
18	3476.8234	(5/4)9 = 1953125/262144
19	3669.9803	(5/4)19/2
20	3863.1371	(5/4)10 = 9765625/1048576
21	4056.2940	(5/4)21/2
22	4249.4509	(5/4)11 = 48828125/4194304
23	4442.6077	(5/4)23/2
24	4635.7646	(5/4)12 = 244140625/16777216
25	4828.9214	(5/4)25/2
26	5022.0783	(5/4)13 = 1220703125/67108864

Harmonics

Approximation of harmonics in 2ed5/4

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-41.1	+29.6	-82.1	-82.1	-11.4	-85.2	+70.0	+59.2	+70.0	-95.0	-52.5
	Relative (%)	-21.3	+15.3	-42.5	-42.5	-5.9	-44.1	+36.2	+30.7	+36.2	-49.2	-27.2
Steps (reduced)		6 (0)	10 (0)	12 (0)	14 (0)	16 (0)	17 (1)	19 (1)	20 (0)	21 (1)	21 (1)	22 (0)

Approximation of harmonics in 2ed5/4

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+2.1	+66.9	-52.5	+28.9	-76.0	+18.2	-75.4	+28.9	-55.5	+57.1	-19.9
	Relative (%)	+1.1	+34.7	-27.2	+15.0	-39.4	+9.4	-39.1	+15.0	-28.8	+29.5	-10.3
Steps (reduced)		23 (1)	24 (0)	24 (0)	25 (1)	25 (1)	26 (0)	26 (0)	27 (1)	27 (1)	28 (0)	28 (0)