Temperament matters little when notes are too brief to establish precise frequencies.
Evidence
It is a matter of opinion whether the loss of perfect fifths and fourths using equal temperament is worth the gains in compositional freedom, freedom from wolf intervals and so on. Certainly, the answer depends on the music being played. In arpeggios or other fast variations of notes, we already discovered there is not even time to precisely define the frequency. To put this another way, suppose the note is present for less time than it takes for beats to occur; certainly the system of temperament is much less important in such passages. β Eric J. Heller, Why You Hear What You Hear- Anβ¦, 2401
Categorization
- XREF: Connects to the uncertainty principle of hearing and the earlier chapter on why brief sounds lack definite pitch.