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{{Infobox ET}}
{{Infobox ET}}
'''6EDF''' is the [[EDF|equal division of the just perfect fifth]] into six parts of 116.9925 [[cent|cents]] each, corresponding to 10.2571 [[edo]]. It is related to the [[Gamelismic clan|miracle temperament]], which tempers out 225/224 and 1029/1024 in the 7-limit.
{{ED intro}} It corresponds to 10.2571 [[edo]].  
 
== Theory ==
6edf is related to the [[miracle]] temperament, which [[tempering out|tempers out]] [[225/224]] and [[1029/1024]] in the 7-limit.
 
=== Harmonics ===
{{Harmonics in equal|6|3|2}}


== Intervals ==
== Intervals ==


{| class="wikitable"
{| class="wikitable center-1 right-2 center-4"
|-
|-
! degrees
! #
! cents ~ cents octave-reduced
! Cents
! Approximate Ratios
! [[1L 3s (fifth-equivalent)|Neptunian]]<br>Notation
|-
|-
| 0
| 0
| 0 (perfect unison, 1:1)
| 0
| [[1/1]]
| C
|-
|-
| 1
| 1
| 117
| 117
| [[16/15]], [[15/14]]
| C#
|-
|-
| 2
| 2
| 234
| 234
| [[8/7]]
| Db
|-
|-
| 3
| 3
| 351
| 351
| [[11/9]], [[27/22]]
| D
|-
|-
| 4
| 4
| 468
| 468
| [[21/16]]
| E
|-
|-
| 5
| 5
| 585
| 585
| [[7/5]], [[45/32]]
| F
|-
|-
| 6
| 6
| 702 (just perfect fifth, 3:2)
| 702
| [[3/2]]
| C
|-
|-
| 7
| 7
| 819
| 819
| [[8/5]], [[21/13]]
| C#
|-
|-
| 8
| 8
| 936
| 936
| [[12/7]], [[55/32]]
| Db
|-
|-
| 9
| 9
| 1053
| 1053
| [[11/6]]
| D
|-
|-
| 10
| 10
| 1170
| 1170
| [[49/25]], [[160/81]], [[2/1]]
| E
|-
|-
| 11
| 11
| 1287 ~ 87
| 1287
|
| F
|-
|-
| 12
| 12
| 1404 ~ 204 (just major whole tone/ninth, 9:4)
| 1404
| 9/4
| C
|-
|-
| 13
| 13
| 1521 ~ 321
| 1521
|
| C#
|-
|-
| 14
| 14
| 1638 ~ 438
| 1638
|
| Db
|-
|-
| 15
| 15
| 1755 ~ 555
| 1755
|
| D
|-
|-
| 16
| 16
| 1872 ~ 672
| 1872
|
| E
|-
|-
| 17
| 17
| 1988 ~ 788
| 1988
|
| F
|-
|-
| 18
| 18
| 2106 ~ 906 (Pythagorean major sixth, 27:8)
| 2106
| 27/8
| C
|-
|-
| 19
| 19
| 2223 ~ 1023
| 2223
|
| C#
|-
|-
| 20
| 20
| 2340 ~ 1140
| 2340
|
| Db
|-
|-
| 21
| 21
| 2457 ~ 57
| 2457
|
| D
|-
|-
| 22
| 22
| 2574 ~ 174
| 2574
|
| E
|-
|-
| 23
| 23
| 2691 ~ 291
| 2691
|
| F
|-
|-
| 24
| 24
| 2808 ~ 408 (Pythagorean major third, 81:16)
| 2808
| 81/16
| C
|}
|}


== Compositions ==
== Music ==
* [http://www.seraph.it/dep/det/metashakti.mp3 Metashakti] by [[Carlo Serafini]]
; [[Carlo Serafini]]
* [http://www.seraph.it/dep/det/metashakti.mp3 ''Metashakti'']
 
; [[XэнкøрX]]
* [https://youtu.be/OSQljL4ANf8 "The Blame Game"] from ''State of the World (XLP)'' (2023)


[[Category:Edf]]
[[Category:Nonoctave]]
[[Category:Listen]]
[[Category:Listen]]
{{todo|expand}}
Retrieved from "https://en.xen.wiki/w/6edf"