1ed65c

← 239ed8192

240ed8192

241ed8192 →

Prime factorization	24 × 3 × 5
Step size	65¢
Octave	18\240ed8192 (1170¢) (→3\40ed8192)
Twelfth	29\240ed8192 (1885¢)
Consistency limit	3
Distinct consistency limit	3
Special properties	highly composite

1 equal division of 65¢ (1ed65c), also known as arithmetic pitch sequence of 65¢ (APS65¢), is an equal nonoctave scale generated by making a continuous chain of intervals of exactly 65¢. It is a good tuning in the 2.3.5.7.11.13.27 subgroup, and is closely related to 37edo and 37ED4. 37 degrees of 1ed65c is exactly 2405¢, which is the 4/1 double octave plus 5¢. Thus, 1ed65c can be seen as a stretched version of 37ed4.

A characteristic pentad of 1ed65c is 8:10:13:14:22 and it's utonal inversion.

Approximation of harmonics in 1ed65c

Harmonic		2	3	4	5	6	7	8	9	10	11
Error	absolute (¢)	-30.0	-17.0	+5.0	+8.7	+18.0	+11.2	-25.0	+31.1	-21.3	+8.7
	relative (%)	-46	-26	+8	+13	+28	+17	-38	+48	-33	+13
Steps		18	29	37	43	48	52	55	59	61	64

Intervals

Degree of 1ed65c	Cents Value
0	0
1	65
2	130
3	195
4	260
5	325
6	390
7	455
8	520
9	585
10	650
11	715
12	780
13	845
14	910
15	975
16	1040
17	1105
18	1170
19	1235
20	1300
21	1365
22	1430
23	1495
24	1560
25	1625
26	1690
27	1755
28	1820
29	1885
30	1950
31	2015
32	2080
33	2145
34	2210
35	2275
36	2340
37	2405

Music

Slumber of Thought by Chris Vaisvil

Malathion in 65cET by Chris Vaisvil (65cET is an outdated name for this tuning system, standing for "65-cent equal temperament")