User:Moremajorthanmajor/15edX: Difference between revisions
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'''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" | | ! 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: | [[Category:Ed7/3]] | ||
[[Category: | [[Category:EdX]] | ||
[[Category:todo:unify_precision]] | [[Category:todo:unify_precision]] |