Funnily enough, the biggest breakthrough came with our approach. We are dealing with music here, not 1s and 0s, so we made the early decision to not trust the data. We engineered the user experience and worked our way back to the data. When we were faced with a problem, we looked at music theory and DJing to solve the user experience rather than rely on what the data was telling us.
Over the past few hundred years, Western Europeans gradually figured out an alternative system to harmonics-based tuning, called 12-tone equal temperament (12-TET for short). It’s the system that the entire Western world uses today. The idea behind 12-TET is to have everything be pretty much in tune, which you accomplish by having everything be a little bit out of tune. Is this a worthwhile compromise? Let’s do the math and find out.