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Equal Temperament

The centuries-old struggle to play in tune, by Jan Swafford:

There have been some 150 tuning systems put forth over the centuries, none of them pure. There is no perfection, only varying tastes in corruption. If you want your fifths nicely in tune, the thirds can’t be; if you want pure thirds, you have to put up with impure fifths. And no scale on a keyboard, not even good old C major, can be perfectly in tune.

Continued