> That certainly happened here. E.g., that (say) 2^(4/12) is pretty close to 5/4 is an interesting fact that requires no knowledge of music terminology to grasp

> That certainly happened here. E.g., that (say) 2^(4/12) is pretty close to 5/4 is an interesting fact that requires no knowledge of music terminology to grasp. That we call a pair of notes whose frequencies are roughly in this ratio a "major third" is just trivia to memorize. For musicians, this is actually precisely opposite. Performing and composing musicians absolutely never use the ratio of fundamental frequencies. They constantly use thirds and think of them as the third note in the major scale, which is the most common scale.