An equal temperament uniquely articulates JI in some odd limit if all just intervals of that odd limit are approximated by different numbers of steps in the ET.
For example, 12-tET does not uniquely articulate the 7-limit because 7:5 and 10:7 are both approximated by 6 steps and 6:5 and 7:6 are both represented by 3 steps. The data for this case are tabulated in the last column of this table.
Although this definition is perfectly applicable to non-octave equal temperaments, uniqueness may also be defined with respect to an "integer limit". The data for this case are tabulated in the second-to-last column of this table.
[from Paul Erlich]
The data for ETs thru 72 are plotted on the following chart:
see also consistency
Updated: 2002.1.12
