Prime factorization

2^{4} × 3

Step size

125¢

Octave

10\48ed32 (1250¢) (→5\24ed32)

Twelfth

15\48ed32 (1875¢) (→5\16ed32)

Consistency limit

2

Distinct consistency limit

2

Special properties


1 equal division of 125¢ (1ed125c), also known as arithmetic pitch sequence of 125¢ (APS125¢), is a nonoctave tuning using equal steps of 125 cents each. This could be considered as dividing the approximate perfect fourth of 500 cents into 4 equal parts, making it very slightly compressed 4ed4/3. It is equivalent to 9.6edo, and is a subset of 48edo (every fifth step). Therefore, it can be regarded as 48ed32.
Approximation of harmonics in 1ed125c
Harmonic

2

3

4

5

6

7

8

9

10

11

Error

Absolute (¢)

+50.0

27.0

25.0

36.3

+23.0

+6.2

+25.0

53.9

+13.7

26.3

Relative (%)

+40

22

20

29

+18

+5

+20

43

+11

21

Steps

10

15

19

22

25

27

29

30

32

33

Intervals
ordinal number

cents

interval name

0

0

unison

1

125

2/3tone, trienthird

2

250

semifourth

3

375

narrow perde segah, marvelous major third, near just major third

4

500

perfect fourth

5

625

pental diminished fifth, classic diminshed fifth

6

750

septendecimal subminor sixth

7

875

major sixth

8

1000

Pythagorean minor seventh

9

1125

classic (5limit) diminished octave.

10

1250


11

1375


12

1500


13

1625


14

1750


15

1875


16

2000


Scala file
! E:\cakewalk\scales\125cent.scl
!
125 cent tuning
4
!
125.00000
250.00000
375.00000
500.00000
Music