Loud brass notes form shock waves requiring precisely phased harmonics.

Evidence

Perhaps most surprising, however, is that a sharp shock front implies a precise phasing of the harmonics of the air column, in analogy to the Helmholtz wave on a violin string. — Eric J. Heller, Why You Hear What You Hear- An…, 2258

Categorization

• QUESTION: How do wind players control harmonic phasing intentionally — is it part of what distinguishes great tone?