1ed65c

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← 239ed8192240ed8192241ed8192 →
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

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Malathion in 65cET by Chris Vaisvil (65cET is an outdated name for this tuning system, standing for "65-cent equal temperament")