User:CompactStar/Ed11/3

This user page is editable by any wiki editor. As a general rule, most users expect their user space to be edited only by themselves, except for minor edits (e.g. maintenance), undoing obviously harmful edits such as vandalism or disruptive editing, and user talk pages. However, by including this message box, the author of this user page has indicated that this page is open to contributions from other users (e.g. content-related edits).

The equal division of 11/3 (ed11/3) is a tuning obtained by dividing the 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 does not necessarily imply directly using this interval as an equivalence. Many, though not all, ed11/3 scales have a perceptually important false octave, with various degrees of accuracy.

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 scales.