User:Moremajorthanmajor/16edX: Difference between revisions

Line 1:

~~This~~ is the scale which occurs as the dominant reformed Mixolydian mode.

''16edX'' is the scale which occurs as the dominant reformed Mixolydian mode.

==Intervals==

== Intervals ==

{| class="wikitable" style="text-align: center"

! rowspan="3" |Degrees

Line 1,405:

Line 1,406:

|1626.366-1652.366

|1644.563-1670.563

|}By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.

|}

By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.

== See also ==

* [[16ed5/2]] - equal division of the classic major tenth

* [[16ed7/3]] - equal division of the septimal minor tenth

[[Category:16-tone]]

[[Category:~~ed7/3]]~~

[[Category:EdX]]

~~[[Category:edX]]~~

~~[[Category:todo:add_definition]]~~

~~[[Category:todo:unify_precision~~]]

@@ Line 1: / Line 1: @@
-This is the scale which occurs as the dominant reformed Mixolydian mode.
+''16edX'' is the scale which occurs as the dominant reformed Mixolydian mode.
-==Intervals==
+== Intervals ==
 {| class="wikitable" style="text-align: center"
 ! rowspan="3" |Degrees
@@ Line 1,405: / Line 1,406: @@
 |1626.366-1652.366
 |1644.563-1670.563
-|}By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.
+|}
+By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.
+== See also ==
+* [[16ed5/2]] - equal division of the classic major tenth
+* [[16ed7/3]] - equal division of the septimal minor tenth
 [[Category:16-tone]]
-[[Category:ed7/3]]
+[[Category:EdX]]
-[[Category:edX]]
-[[Category:todo:add_definition]]
-[[Category:todo:unify_precision]]