4edf: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
-=Equal division of the perfect fifth (3/2) into 4 equal parts=
+{{Infobox ET}}
+{{ED intro}} It corresponds to 6.8380[[edo]].
-'''4edf''' divides the [[perfect_fifth|Perfect fifth]] into 4 [[Equal|equal]] intervals, each 175.489 [[cent|cent]]s in size.
+== Theory ==
+edf is related to the [[tetracot]] temperament, which [[tempering out|tempers out]] [[20000/19683]] in the 5-limit.
-This division is said to be used in traditional scales of [[Georgian|Georgia]]. See the [https://groups.yahoo.com/neo/groups/tuning/conversations/messages/100326 discusision on the Yahoo tuning list].
+=== Harmonics ===
+{{Harmonics in equal|4|3|2}}
-==Intervals==
+== Intervals ==
-{| class="wikitable"
+{| class="wikitable center-1 right-2 center-3"
 |-
-! | degree
+! #
-! | cents value
+! Cents
-! | octave-reduced cents value
+! Tetratonic<br>Notation
 |-
-| | 0
+| 0
-| | 0
+| 0.0
-| |
+| C
 |-
-| | 1
+| 1
-| | 175.489
+| 175.5
-| |
+| D
 |-
-| | 2
+| 2
-| | 350.978
+| 351.0
-| |
+| E
 |-
-| | 3
+| 3
-| | 526.466
+| 526.5
-| |
+| F
 |-
-| | 4
+| 4
-| | 701.955
+| 702.0
-| |
+| C
 |-
-| | 5
+| 5
-| | 877.444
+| 877.4
-| |
+| D
 |-
-| | 6
+| 6
-| | 1052.933
+| 1052.9
-| |
+| E
 |-
-! | second octave
+| 7
-! |
+| 1228.4
-! |
+| F
 |-
-| | 7
+| 8
-| | 1228.421
+| 1403.9
-| | 28.421
+| C
 |-
-| | 8
+| 9
-| | 1403.910
+| 1579.4
-| | 203.910
+| D
 |-
-| | 9
+| 10
-| | 1579.399
+| 1754.9
-| | 379.399
+| E
 |-
-| | 10
+| 11
-| | 1754.888
+| 1930.4
-| | 554.888
+| F
 |-
-| | 11
+| 12
-| | 1930.376
+| 2105.9
-| | 730.376
+| C
 |-
-| | 12
+| 13
-| | 2105.865
+| 2281.4
-| | 905.865
+| D
 |-
-| | 13
+| 14
-| | 2281.354
+| 2456.8
-| | 1081.354
+| E
-|-
-! | third octave
-! |
-! |
-|-
-| | 14
-| | 2456.843
-| | 56.843
 |}
-==Compositions==
+== Music ==
-[http://www.seraph.it/dep/det/repetitions1.mp3 Repetitions 1] [http://www.youtube.com/watch?v=XEklMo0tIW0 Repetitions 1 video] by [[Carlo_Serafini|Carlo Serafini]]      [[Category:edonoi]]
+; [[Carlo Serafini]]
-[[Category:equal]]
+* ''Repetitions 1'' – [http://www.seraph.it/dep/det/repetitions1.mp3 play] | [https://www.youtube.com/watch?v=XEklMo0tIW0 YouTube]
-[[Category:listen]]
-[[Category:nonoctave]]
+[[Category:Listen]]