Zudilisma

68630377364883/68630356164608 is a 2.3.7.23.397 subgroup ratio which is the difference between 127834/1 and a stack of 29 3/2.

It appears in the sequence of numbers where the fractional part of 1.5^n gets progressively closer to an integer than for any number before it - sequence A1267122 in OEIS.

If this ratio is taken as a comma to be tempered out, it will produce a temperament that very closely approximates Pythagorean tuning.