The visual display at 8:07 is amazing! I've never seen it illustrated that way. Thank you!

The kind of video one must watch 10 times to fully understand. Thanks though.

Great video. Knowing that equal temperament provides the ease of being able to transition into other keys makes me grateful.

So........, there were some really, really smart people with really, really good ears before the invention of the electronic tuner.......

Great topic and video!

2:09 — “just temperament”:  Careful!  Just Intonation is a tuning , yes, but not a temperament.  Temperaments are tunings that systematically compromise pitches away from Just Intonation mostly to allow you to play in a variety of keys.

As Ivor Darreg amusingly put it, saying “Just Temperament” is like saying “dehydrated water”!  🤪

That diagram at 7:59 is perfect.

Great long-lasting video, hope it stays here forever.

The rubber band explanation of overtones was enlightening! I paused the video, leaned back in my chair, and said "WOOOOAAAAAHHH....."

66 years old, playing since 14, I only understood very little, as to what I just learned from Nathan EXCELLENT Explanation.specially the visual display at 8:07 Thank You so much Nathan.

This is the most pivotal sailent characteristic of Western music.

Absolutely EXCELLENT !  Thank you.  Well, indeed very well, presented, too.  I would like to hear you lecture on this topic using a keyboard to give us examples.

I agree with comment about the brave stroke of genius in adopting a visual display approximating through the difficulties of explaining 12 tones really ?.... expressing an Art form and Life with mathematics as the queen of science!?!   Congratulations.   You have crossed thousands of years of thinking and  'aural problem solving in tuning '.  through this attempt in giving some clarity to this simplification to explain to non-professionals.

great video! very interesting JI scale used at 7:59, the 25-odd limit definitely isn’t common for 12-note JI systems. for anyone interested in this stuff, i’d recommend looking into alternative equal temperaments besides 12, like 22 and 31

thank you for the explanation i has been a struggle with my music assignments you have me some understanding about the tuning and temperaments please keep explaining and give a few examples please

This video is great.  I hope my guitar friends watch it.

cool video; music theory is just that, a descriptive (not prescriptive) theory.  alot of what we think sound good happened thru conditioning.

Thank you so much for this explanation.

Neat presentation man, really appreciate your effort!!! :) THANKS!

Thank you.

Awesome video and explanation Nathan.  Just learning to tune my piano and I love having this foundation!