2ed5/4

← 1ed5/4

2ed5/4

3ed5/4 →

Prime factorization	2 (prime)
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	1
Special properties	Highly composite

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 luna temperament.

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)