User:Moremajorthanmajor/15edX: Difference between revisions

Xenwolf (talk | contribs)
m Undo revision 76558 by Moremajorthanmajor (talk)
Tag: Undo
Xenllium (talk | contribs)
mNo edit summary
Line 1: Line 1:
'''15edX''' is the scale which occurs as the dominant minor edX.
'''15edX''' is the scale which occurs as the dominant minor edX (equal division of a tenth interval).
==Intervals==
 
== Intervals ==
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |.1225)
! colspan="2" rowspan="3" |Enneatonic
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="9" |Dorian
! colspan="9" |Dorian
Line 1,152: Line 1,153:


By a surprising coincidence, the 15ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of [[34edo]]. Additionally, those of the modal Golden and Pyrite tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Intense Aeolian-Subpental Dorian), [[9ed5/3|9ed(5/3)/equal multiples of 18/17]] (Subpental Dorian), 13ed(15/7) (Pental Dorian), 2ed(9/8) (Superpental Dorian), -1/12-syntonic comma 3ed(6/5) (Dorian-Mixolydian), 14ed(7/3)/equal multiples of 17/16/100π\3 cents (Subpental Mixolydian), 3ed(6/5) (Pental Mixolydian), -1/20-septimal comma 4ed(9/7)/-1/28-syntonic comma 14ed(12/5)/9ed(7/4) (Soft Superpental Mixolydian), 12ed(32/15) (Intense Superpental Mixolydian) and 8ed(5/3)/-1/9 schismic 9ed(16/9)/14ed(22/9) (Mixolydian-Ionian) respectively.
By a surprising coincidence, the 15ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of [[34edo]]. Additionally, those of the modal Golden and Pyrite tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Intense Aeolian-Subpental Dorian), [[9ed5/3|9ed(5/3)/equal multiples of 18/17]] (Subpental Dorian), 13ed(15/7) (Pental Dorian), 2ed(9/8) (Superpental Dorian), -1/12-syntonic comma 3ed(6/5) (Dorian-Mixolydian), 14ed(7/3)/equal multiples of 17/16/100π\3 cents (Subpental Mixolydian), 3ed(6/5) (Pental Mixolydian), -1/20-septimal comma 4ed(9/7)/-1/28-syntonic comma 14ed(12/5)/9ed(7/4) (Soft Superpental Mixolydian), 12ed(32/15) (Intense Superpental Mixolydian) and 8ed(5/3)/-1/9 schismic 9ed(16/9)/14ed(22/9) (Mixolydian-Ionian) respectively.
== See also ==
* [[15ed5/2]] - equal division of the classic major tenth
* [[15ed7/3]] - equal division of the septimal minor tenth
[[Category:15-tone]]
[[Category:15-tone]]
[[Category:ed7/3]]
[[Category:Ed7/3]]
[[Category:edX]]
[[Category:EdX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]
[[Category:todo:unify_precision]]