User:2^67-1/Ed12: Difference between revisions

(14 intermediate revisions by the same user not shown)

Line 1:

The '''equal division of ~~√12~~ (~~ed√12)~~''' is a tuning obtained by dividing the [[~~hemipyth]~~]~~[10~~] ~~perfect 18-step (√12)~~ in a certain number of ~~equal steps. ned√12 is also equivalent to 2n~~[[~~ed12~~]].

''Disclaimer: written a la MMTM''

The '''equal division of 12/1''' ('''ed12/1''') is a [[tuning]] obtained by dividing the [[12/1|twelfth harmonic (12/1)]] in a certain number of [[equal]] steps.

==Properties==

Division of ~~√12~~ into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. The utility of this interval as an equivalence~~, despite being irrational,~~ is that it serves as an upper bound of the range of most peoples' voices~~. While [[hemipyth]] chords can be used~~, ~~due~~ to ~~the wider equave wider, sparser chord spacings can~~ be ~~utilized~~.

Division of 12 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. The utility of this interval as an equivalence is that it serves as two times the upper bound of the range of most peoples' voices, which the author takes to be about √12. The twelfth harmonic is pretty far as much as equivalences go.

~~Octodecatonic MOSses are particularly natural with this equave, with [[User:~~2~~^67-~~1/7L 11s ~~(√12~~-equivalent)|7L 11s~~]] particularly being reminiscent of hemipyth.~~

==MOSes==

===25-note MOSes===

This is equivalent to 7-note MOSes in the 2/1.

* 18L 7s and 7L 18s: Greater Diatonic and Greater Mavila

* 14L 11s and 11L 14s: Greater Smitonic and Greater Mosh

===36-note MOSes===

This is equivalent to 10-note MOSes in the 2/1.

* 29L 7s and 7L 29s: Hexacontapental and Antihexacontapental

* 27L 9s and 9L 27s: Unquic and Antiunquic

* 25L 11s and 11L 25s: Greater Dichotic and Greater Sephiroid

* 22L 14s and 14L 22s: Anticolian and Colian

* 18L 18s: Grenadilla

@@ Line 1: / Line 1: @@
-The '''equal division of √12 (ed√12)''' is a tuning obtained by dividing the [[hemipyth]][10] perfect 18-step (√12) in a certain number of equal steps. ned√12 is also equivalent to 2n[[ed12]].
+''Disclaimer: written a la MMTM''
+The '''equal division of 12/1''' ('''ed12/1''') is a [[tuning]] obtained by dividing the [[12/1|twelfth harmonic (12/1)]] in a certain number of [[equal]] steps.
 ==Properties==
-Division of √12 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. The utility of this interval as an equivalence, despite being irrational, is that it serves as an upper bound of the range of most peoples' voices. While [[hemipyth]] chords can be used, due to the wider equave wider, sparser chord spacings can be utilized.
+Division of 12 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. The utility of this interval as an equivalence is that it serves as two times the upper bound of the range of most peoples' voices, which the author takes to be about √12. The twelfth harmonic is pretty far as much as equivalences go.
-Octodecatonic MOSses are particularly natural with this equave, with [[User:2^67-1/7L 11s (√12-equivalent)|7L 11s]] particularly being reminiscent of hemipyth.
+==MOSes==
+===25-note MOSes===
+This is equivalent to 7-note MOSes in the 2/1.
+* 18L 7s and 7L 18s: Greater Diatonic and Greater Mavila
+* 14L 11s and 11L 14s: Greater Smitonic and Greater Mosh
+===36-note MOSes===
+This is equivalent to 10-note MOSes in the 2/1.
+* 29L 7s and 7L 29s: Hexacontapental and Antihexacontapental
+* 27L 9s and 9L 27s: Unquic and Antiunquic
+* 25L 11s and 11L 25s: Greater Dichotic and Greater Sephiroid
+* 22L 14s and 14L 22s: Anticolian and Colian
+* 18L 18s: Grenadilla