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1ed125c: Difference between revisions

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Cmloegcmluin (talk | contribs)
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make 1ed name primary, add APS/AS name, del refs to cET/equal-step, per https://en.xen.wiki/w/Talk:CET
Fredg999 (talk | contribs)
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Propose merge (very similar tunings)
 
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{{todo|merge articles|inline=1|text=Merge [[4ed4/3]] and [[1ed125c]]?}}
{{Infobox ET|48ed32}}
{{Infobox ET|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.
'''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 9.6[[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 ==
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ordinal number
! | Degree
! | cents
! | Cents
! | interval name
! | Associated ratios
! | Interval name
|-
|-
| | 0
| | 0
| | 0
| | 0
| | [[1/1]]
| | unison
| | unison
|-
|-
| | 1
| | 1
| | 125
| | 125
| | [[14/13]], [[15/14]]
| | 2/3-tone, trienthird
| | 2/3-tone, trienthird
|-
|-
| | 2
| | 2
| | 250
| | 250
| | [[15/13]], [[22/19]]
| | semifourth
| | semifourth
|-
|-
| | 3
| | 3
| | 375
| | 375
| | [[5/4]]
| | narrow perde segah, marvelous major third, near just major third
| | narrow perde segah, marvelous major third, near just major third
|-
|-
| | 4
| | 4
| | 500
| | 500
| | [[4/3]]
| | perfect fourth
| | perfect fourth
|-
|-
| | 5
| | 5
| | 625
| | 625
| | [[10/7]], [[23/16]]
| | pental diminished fifth, classic diminshed fifth
| | pental diminished fifth, classic diminshed fifth
|-
|-
| | 6
| | 6
| | 750
| | 750
| | [[17/11]], [[20/13]]
| | septendecimal subminor sixth
| | septendecimal subminor sixth
|-
|-
| | 7
| | 7
| | 875
| | 875
| | [[5/3]]
| | major sixth
| | major sixth
|-
|-
| | 8
| | 8
| | 1000
| | 1000
| | [[16/9]]
| | Pythagorean minor seventh
| | Pythagorean minor seventh
|-
|-
| | 9
| | 9
| | 1125
| | 1125
| | classic ([[5-limit|5-limit]]) diminished octave.
| | [[21/11]], [[23/12]]
| | classic ([[5-limit|5-limit]]) diminished octave
|-
|-
| | 10
| | 10
| | 1250
| | 1250
| | [[33/16]]
| |  
| |  
|-
|-
| | 11
| | 11
| | 1375
| | 1375
| |
| |  
| |  
|-
|-
| | 12
| | 12
| | 1500
| | 1500
| |
| |  
| |  
|-
|-
| | 13
| | 13
| | 1625
| | 1625
| |
| |  
| |  
|-
|-
| | 14
| | 14
| | 1750
| | 1750
| |
| |  
| |  
|-
|-
| | 15
| | 15
| | 1875
| | 1875
| |
| |  
| |  
|-
|-
| | 16
| | 16
| | 2000
| | 2000
| |
| |  
| |  
|}
|}
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