39/37
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(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
39/37 is a 37-limit (3.13.37 subgroup) ratio that is very well approximated by 1 step of 13edo. It is also very close to the Pythagorean limma of 256/243, which is only 9477/9472 (about 0.9 cents) away.