A Plaine and Easie Introduction to the mathematics of tuning and temperaments
A SWEMF Zoom Workshop, held on 19th November 2022

Clare explains why it’s impossible to have every interval in a 12-semitone scale in tune at once, and looks at some of the methods which have been adopted to get around this problem.

Further Reading

Here are some of the web resources which Clare referenced in the talk, plus a few extra:

This app lets you generate any frequency, choosing from a range of wave-forms.

Contains pitch discrimination and other tests.

Comparison between just (perfectly in tune) and equally tempered intervals.

A really interesting blog post with some good audio clips in different tunings.

Nice demonstration of the phenomenon of beats.