so that after 11 stacked 'equal-tempered' 5ths, each of them 1/50th of a semitone sharp, we arrive back at a perfect octave multiple of the original frequency.
Don't the 5ths need to be slightly flat (700 cents instead of 702 cents) to have the octaves in tune?
Are you afraid of dry eyes/meibomian gland dysfunction at all? It seems like it's pretty common as a side effect of retinoids.