4ed4/3: Difference between revisions

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-{{todo|merge articles|inline=1|text=Merge [[4ed4/3]] and [[1ed125c]]?}}
 {{Infobox ET}}
 {{ED intro}}
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 }}
+== Similar tunings ==
+=== 125cET ===
+'''125-cent equal temperament''' ('''125cET''', also known as '''1ed125c''' or '''APS125¢'''), is an [[equal]] [[nonoctave]] scale generated by making a continuous chain of intervals of exactly 125¢. It is a stretched tuning of 4ed4/3, with its step size wider by about 0.5{{c}}.
-{{Stub}}
+==== Intervals ====
+{| class="wikitable mw-collapsible mw-collapsed"
+|+
+! | 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|5-limit]]) diminished octave
+|-
+| | 10
+| | 1250
+| | [[33/16]]
+| |
+|}
+=== 11ed11/5 ===
+{{ED intro|11ed11/5}} It is a compressed tuning of 4ed4/3, with its step size narrower by about 0.4{{c}}.
+==== Intervals ====
+{| class="wikitable mw-collapsible mw-collapsed"
+|+
+!Step
+!Interval (¢)
+!JI approximated
+!Simplified ratios
+|-
+|1
+|124.09
+|29/27
+|
+|-
+|2
+|248.18
+|22/19
+|
+|-
+|3
+|372.27
+|31/25
+|
+|-
+|4
+|496.37
+|8/6, 29/22
+|4/3
+|-
+|5
+|620.46
+|52/36
+|13/9
+|-
+|6
+|744.55
+|80/52
+|20/13
+|-
+|7
+|868.46
+|10/6, 36/22
+|5/3, 18/11
+|-
+|8
+|992.73
+|39/22, 55/31, 64/36
+|16/9
+|-
+|9
+|1116.82
+|19/10
+|
+|-
+|10
+|1240.91
+|39/19
+|
+|-
+|11
+|1365.00
+|11/5
+|
+|}
+The subgroup interpretation used is 11/5.6.8.10.19.25.27.29.31.39.45.52. Other interpretations are possible. Don't forget that fractions can multiply, e.g. 10*11/5=22, 25*11/5=55.
+{{todo|cleanup|inline=1|comment=Reorganize interval tables?}}
+== Music ==
+=== 125cET ===
+; [[Chris Vaisvil]]
+* [http://chrisvaisvil.com/canyon-diablo-fall/ Canyon Diablo Fall]
+* [http://chrisvaisvil.com/crossing-over-125cet/ Crossing Over]
+=== 11ed11/5 ===
+; [[Francium]]
+* "Will Go Down" from ''Holy Carp'' (2025) – [https://open.spotify.com/track/7xIEOPptbuOnJ9oDuPQAOE Spotify] | [https://francium223.bandcamp.com/track/will-go-down Bandcamp] | [https://www.youtube.com/watch?v=4UpHb0IGPL8 YouTube]