While Benade's first book, "Horns Strings and Harmony", has some errors which he himself later acknowledged, "Fundamentals of Musical Acoustics" is one of the seminal books in the field. That doesn't mean that it is perfect in every respect, but it introduces a broad range of concepts in musical acoustics without the use of advanced mathematics, in a writing style that will appeal to the musician in addition to the scientist. The fine details of his theories regarding psychoacoustics, particularly pitch perception, have been challenged. But his general concepts are well accepted, and he presents them in a way that makes the reader think. His descriptions of experimental techniques (which generally aren't very complicated) have inspired me and others to repeat his experiments. Sometimes, results don't agree - that's when you have to think. Psychoacoustics relies on neurology and psychology, two sciences that, despite much brilliant work over the last 100 years, are still in their infancy. So, you can't judge his theories on psychoacoustics in the same light as his description of wave propagation, room modes, and perturbation functions in clarinets.
As a musician and an engineer, I highly recommend this book to anyone interested in how music and physics intersect. This is not the book to answer all your questions - it is the book to get you started on asking the right questions.