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A Catholic Pilgrim's avatar

Fascinating. I have toyed with copying icons and realised there were principles here at work but to have it elucidated so clearly is marvellous, thank you.

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Jack Leahy's avatar

Music--or the overtone series on which most music is based--is also all about ratios. Though interestingly, Western Music is literally out of tune with the overtone series, i.e., with nature. It's *close enough* but if you hear a in-tune major 3rd, for example, vs. one on a piano, the difference is striking. The Western tuning system is a compromise--we trade being in tune for being able to easily modulate to any key. It may be going too far to say that this is a Faustian bargain, but heck, I'll say it anyway.

For those interested in hearing it, here is a minute video of music phenom Jacob Collier demonstrating the difference.

https://www.youtube.com/watch?v=XwRSS7jeo5s

More to the point, a lovely article. Thank you.

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