# 1ed237.8c

 ← 0ed187/163 1ed187/163 2ed187/163 →
Prime factorization n/a
Step size 237.8¢
Octave 5\1ed187/163 (1189¢)
(convergent)
Twelfth 8\1ed187/163 (1902.4¢)
(convergent)
Consistency limit 10
Distinct consistency limit 1
Special properties

1 equal division of 237.8¢ (1ed237.8c), also known as arithmetic pitch sequence of 237.8¢ (APS237.8¢), is an equal nonoctave scale generated by making a continuous chain of intervals of exactly 237.8¢. It is almost exactly 8edt, but retuned to have a slightly more acceptable pseudo-octave. It could be seen as a compromise between 8edt and 5edo, though leaning heavily towards 8edt.

## Harmonics

Approximation of harmonics in 1ed237.8c
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error absolute (¢) -11.0 +0.4 -22.0 +67.3 -10.6 -39.6 -33.0 +0.9 +56.3 -108.7 -21.6
relative (%) -5 +0 -9 +28 -4 -17 -14 +0 +24 -46 -9
Steps 5 8 10 12 13 14 15 16 17 17 18

5edo, 8edt, 14ed7 for comparison:

Approximation of harmonics in 5edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error absolute (¢) +0.0 +18.0 +0.0 +93.7 +18.0 -8.8 +0.0 +36.1 +93.7 -71.3 +18.0
relative (%) +0 +8 +0 +39 +8 -4 +0 +15 +39 -30 +8
Steps
(reduced)
5
(0)
8
(3)
10
(0)
12
(2)
13
(3)
14
(4)
15
(0)
16
(1)
17
(2)
17
(2)
18
(3)
Approximation of harmonics in 8edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error absolute (¢) -11.3 +0.0 -22.6 +66.6 -11.3 -40.4 -33.8 +0.0 +55.3 -109.7 -22.6
relative (%) -5 +0 -9 +28 -5 -17 -14 +0 +23 -46 -9
Steps
(reduced)
5
(5)
8
(0)
10
(2)
12
(4)
13
(5)
14
(6)
15
(7)
16
(0)
17
(1)
17
(1)
18
(2)
Approximation of harmonics in 14ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error absolute (¢) +3.2 +23.1 +6.3 +101.3 +26.2 +0.0 +9.5 +46.2 +104.4 -60.6 +29.4
relative (%) +1 +10 +3 +42 +11 +0 +4 +19 +43 -25 +12
Steps
(reduced)
5
(5)
8
(8)
10
(10)
12
(12)
13
(13)
14
(0)
15
(1)
16
(2)
17
(3)
17
(3)
18
(4)

## Intervals

Degree of 1ed65c Cents Value Approximate ratio
0 0 1/1
1 237.8 8/7
2 475.6 37/28
3 713.4 3/2
4 951.2 7/4
5 1189.0 2/1
6 1426.8 16/7
7 1664.6 73/28
8 1902.4 3/1

## Scala files

```! 1ed237pt8.scl
!
1 equal division of 237.8
5
!
237.800000
475.600000
713.400000
951.200000
1189.000000
```
```! 1ed237pt8.scl
!
1 equal division of 237.8
8
!
237.800000
475.600000
713.400000
951.200000
1189.000000
1426.800000
1664.600000
1902.400000
```