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 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.

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.