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by palimpsests 1397 days ago
so slightly that it can be on the range of 0-5 cents, provided the instrument is sufficiently constructed and the player is sufficiently skilled.

this is why a guitar using equal temperment can play consistently in-tune with itself as well as with other instruments tuned in the same system. it’s not about perfection according to some abstract mathematical model.

1 comments

Kinda is, considering that the frequencies for each note are a standard and used by all equal temperament instruments.

Guitars are almost never perfectly in tune according to that standard, but like I said - people generally don't mind.

yes, I am aware that conventional guitars have fundamental issues with intonation in equal temperament systems.

this has not prevented it from being a versatile instrument that is quite capable of being played “enough” in tune with ensembles of other instruments, such that the vast majority of people hear zero problems.

how is what we hear in music less relevant than whether or not a given instrument is not perfectly in tune, mathematically speaking, if that variation in tuning is imperceptible to human hearing?