1ed125c

Todo: merge articles Merge 4ed4/3 and 1ed125c?

← 47ed32

48ed32

49ed32 →

Prime factorization	24 × 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	Highly composite

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 stretched 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	12
Error	Absolute (¢)	+50.0	-27.0	-25.0	-36.3	+23.0	+6.2	+25.0	-53.9	+13.7	-26.3	-52.0
	Relative (%)	+40.0	-21.6	-20.0	-29.1	+18.4	+4.9	+20.0	-43.1	+10.9	-21.1	-41.6
Step		10	15	19	22	25	27	29	30	32	33	34

Intervals

Degree	Cents	Associated ratios	Interval name
0	0	1/1	unison
1	125	14/13, 15/14	2/3-tone, trienthird
2	250	15/13, 22/19	semifourth
3	375	5/4	narrow perde segah, marvelous major third, near just major third
4	500	4/3	perfect fourth
5	625	10/7, 23/16	pental diminished fifth, classic diminshed fifth
6	750	17/11, 20/13	septendecimal subminor sixth
7	875	5/3	major sixth
8	1000	16/9	Pythagorean minor seventh
9	1125	21/11, 23/12	classic (5-limit) diminished octave
10	1250	33/16
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

• Canyon Diablo Fall by Chris Vaisvil
  • http://micro.soonlabel.com/125cent/20130317_125cent.mp3
• Crossing Over by Chris Vaisvil (125cET is an outdated name for this tuning system, standing for "125-cent equal temperament")
  • http://micro.soonlabel.com/125cent/20141011_125ct_crossing_over.mp3