Hello there! I'm glad to finally see someone else here who thinks that powers of two in the denominator are important. That said, I would add that numerators with powers of two also have a similar effect, and thus also help to establish a sense of tonality. I call the type of consonance exhibited by intervals with powers of two in the numerator and the denominator "connectivity", though it arguably needs a better name. I also have a lower threshold for intervals that can meaningfully be distinguished- this being at around 7 cents- the reason being that intervals of that size are still noticeable when the two notes are played side by side, and that intervals that are 7-10 cents in difference from one another can still be exploited to seamlessly modulate between keys that are not on the same series of fifths. I also deal in 11-limit harmony quite frequently. --Aura (talk) 01:19, 18 December 2020 (UTC)