153edo

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153edo is the equal division of the octave into 153 parts of 7.8431 cents each.

That's every second step of 306edo, with third harmonic falling exactly halfway between adjacent steps, so it can't decide what fifth to use, just like 100edo, 47edo or 35edo...

Notably however represents 11L 3s.

Using 153edo for 2.9.21.11/5 subgroup, it tempers out 9801/9800, 40353607/40310784, and 645922816/645700815 with patent 9 (inconsistent) and 21.