User:CompactStar/Ed11/3

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.