An interesting psychophysics experiment.
Not easy, not difficult. (Take care to have acoustic levels low for reasons. Protecting your hearing and the fact that pitch depends not only in frequency but on intensity too.)
A nice classic song can be playing softly.
Then using an online tone generator such as:
http://onlinetonegenerator.com
Then finding a note that suits the whole song. Playing such a note at high frequency by changing the input frequency in the keyboard until it sounds perfect to ear brain.
It may not be believed how equal temperament is out of real life.
Trust your brain.
Bibliography, references:
Ear brain vs Engineering octaves - euroelectron
http://www.mmk.ei.tum.de/fileadmin/w00bqn/www/Personen/Terhardt/ter/top/octstretch.html
Sound and Hearing - Stevens, Warshopsky - Chaoter: Influence of the mind - Life science series
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