User:CompactStar/Ed11/3: Difference between revisions

(5 intermediate revisions by 3 users not shown)

Line 1:

The '''equal division of 11/3''' ('''ed11/3''') is a [[tuning]] obtained by dividing the [[11/3|undecimal neutral fourteenth (11/3)]] into a number of [[equal]] steps.

The '''equal division of 11/3''' ('''ed11/3''') is a [[tuning]] obtained by dividing the [[11/3|undecimal neutral fourteenth (11/3)]] into a number of [[equal]] steps. In [[flattone]] and flatter diatonic tunings, the major fourteenth will approximate this interval closest of the simple fourteenths.

== Properties ==

Division of 11/3 into equal parts ~~can be conceived of as to~~ directly ~~use~~ this interval as an ~~equivalence, or not. The question of~~ [[equivalence]] ~~has not even been posed yet~~. Many, though not all, ~~of these~~ scales have a perceptually important ~~pseudo (~~false) octave, with various degrees of accuracy.

Division of 11/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed11/3 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.

~~Incidentally, one way~~ to ~~treat 11~~/3 ~~as an equivalence~~ is the use of the 11:15:33 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes five tritaves to get to [[15/11]] (tempering out the comma 6655/6561 in the ~~11/~~3.3.~~5 fractional~~ subgroup). This temperament yields 6, 7, 13, and 20 note ~~MOS~~.

One approach to ed11/3 tunings is the use of the 11:15:33 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes five tritaves to get to [[15/11]] (tempering out the comma 6655/6561 in the 3.5.11 subgroup). This temperament yields 6-, 7-, 13-, and 20-note [[mos scale]]s.

[[Category:Ed11/3| ]]

[[Category:Edonoi]]

[[Category:Lists of scales]]

@@ Line 1: / Line 1: @@
-The '''equal division of 11/3''' ('''ed11/3''') is a [[tuning]] obtained by dividing the [[11/3|undecimal neutral fourteenth (11/3)]] into a number of [[equal]] steps.
+{{Editable user page}}
+The '''equal division of 11/3''' ('''ed11/3''') is a [[tuning]] obtained by dividing the [[11/3|undecimal neutral fourteenth (11/3)]] into a number of [[equal]] steps. In [[flattone]] and flatter diatonic tunings, the major fourteenth will approximate this interval closest of the simple fourteenths.
 == Properties ==
-Division of 11/3 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of [[equivalence]] has not even been posed yet.  Many, though not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy.
+Division of 11/3 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed11/3 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy.
-Incidentally, one way to treat 11/3 as an equivalence is the use of the 11:15:33 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes five tritaves to get to [[15/11]] (tempering out the comma 6655/6561 in the 11/3.3.5 fractional subgroup). This temperament yields 6, 7, 13, and 20 note MOS.
+One approach to ed11/3 tunings is the use of the 11:15:33 chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to [[5/1]], here it takes five tritaves to get to [[15/11]] (tempering out the comma 6655/6561 in the 3.5.11 subgroup). This temperament yields 6-, 7-, 13-, and 20-note [[mos scale]]s.
+[[Category:Ed11/3| ]] <!-- main article -->
 [[Category:Edonoi]]
+[[Category:Lists of scales]]