36/13
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36/13 |2 2 0 0 0 -1>
1763.3823399615 cents
In 13-limit Just Intonation, 36/13 is a neutral eleventh of about 1763.4¢. It is found in the harmonic series between the 36th and the 13th overtone (between 13/12 and 3/1 in the tritave). It is sharp of the 11-limit greater neutral eleventh of 11/4 by 144/143 (about 12.1¢), and flat of the 13-limit small major eleventh of 39/14 by 169/168 (about 10.3¢).
The neutral eleventh in 17edo is about 1764.7¢, about 1.3¢ sharp of 36/13. Thus, if 10\17 (ten degrees of 17edo) is taken to approximate 3/2 and 12\17 taken to approximate 13/8, you can generate a 13-limit harmonic triad that approximates an 8:12:13 chord with a good 36/13.