1ed125c: Difference between revisions

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The bug has been fixed
Cmloegcmluin (talk | contribs)
make 1ed name primary, add APS/AS name, del refs to cET/equal-step, per https://en.xen.wiki/w/Talk:CET
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{{Infobox ET|48ed32}}
{{Infobox ET|48ed32}}


This [[nonoctave]] tuning uses 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 9.6[[edo]], and is a subset of [[48edo]] (every fifth step). Therefore, it can be regarded as 48ed32.
'''1 equal division of 125¢''' ('''1ed125c'''), also known as '''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 9.6[[edo]], and is a subset of [[48edo]] (every fifth step). Therefore, it can be regarded as 48ed32.
{{harmonics in cet|125}}
{{harmonics in cet|125}}
== Intervals ==
== Intervals ==
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*[http://chrisvaisvil.com/canyon-diablo-fall/ Canyon Diablo Fall] by [[Chris Vaisvil]]
*[http://chrisvaisvil.com/canyon-diablo-fall/ Canyon Diablo Fall] by [[Chris Vaisvil]]
**http://micro.soonlabel.com/125cent/20130317_125cent.mp3
**http://micro.soonlabel.com/125cent/20130317_125cent.mp3
*[http://chrisvaisvil.com/crossing-over-125cet/ Crossing Over] by [[Chris Vaisvil]]
*[http://chrisvaisvil.com/crossing-over-125cet/ Crossing Over] by [[Chris Vaisvil]] (125cET is an outdated name for this tuning system, standing for "125-cent equal temperament")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
**http://micro.soonlabel.com/125cent/20141011_125ct_crossing_over.mp3


[[Category:listen]]
[[Category:listen]]
[[Category:nonoctave]]
[[Category:nonoctave]]

Revision as of 19:37, 7 November 2023

← 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

1 equal division of 125¢ (1ed125c), also known as 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 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

ordinal number cents interval name
0 0 unison
1 125 2/3-tone, 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 (5-limit) 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