🎵 Equal temperament (Maths of music, science of sound 1)

The tuning system known as equal temperament is almost universally used in modern Western music. But what is it and what's the mathematics behind it?
The Science Fiction Rock Experience - the music show I produce:
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My other videos on tuning systems:
Pythagorean tuning • 🎵 Pythagorean tuning
Pythagorean comma • 🎵 The PYTHAGOREAN COMMA
The overtone series • The overtone series
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Consonance and dissonance • Major and minor scales
Intervals • Musical intervals - ma...
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[@nickrobinson2023]

This explanation deserves a lot more views than 1,183 views.
It's the clearest and most down to earth lesson on frequencies that I have come across.
Thanks for your hard work.
Giving you a double like and a share, naturally.

[@discovermaths]

Many thanks, Nick :-)

[@yesserlabidi7831]

That’s true he is so brilliant

[@aratrikdebnath2516]

Came back to this video after almost a year.
(Recommended it to all musician friends.)

[@iveseixas]

Very straightforward and clarifying. Thank you!

[@S-MKim]

Very nice, very simple. Thanks.

[@sujathakamath]

Beautiful explaination

[@roberttomi8800]

Thank you for this video!

[@Deboryanne]

this is amazing, I love studying by myself about the relationship between music and maths and this part helped me understand a lot. So grateful I found this, I'm exploring more of your other videos. thank you so much!

[@discovermaths]

Thanks very much for listening. I'm fascinated by the connections between music and maths and will be adding more videos on this subject. By the way, you can check out my own music on this channel: th-cam.com/channels/f7kSLjneikEv8LVfQtKrBA.html

[@abhirami8353]

I cant explain how helpful this has been, I really hope you get more views

[@nismahabbasi4223]

This series of videos is sooooo helpful! I have to give a presentation on Equal Temperament for Music and Mathematics class and this video broke it down so simply! Thank you!

[@discovermaths]

Glad you found it useful! Good luck with the presentation.

[@nayeliesmeraldapantojaflor574]

Can I see it? haha, I have my final presentation about it, too.

[@nismahabbasi4223]

@@nayeliesmeraldapantojaflor574 um sure but it was a powerpoint. I can email it to you?

[@macbird-lt8de]

Post it as a video on your channel

[@josiahwells7442]

Thank you for this great series

[@discovermaths]

Many thanks, Josiah. More to come in this series.

[@emmaning992]

Thanks! This is amazing!

[@raidenten6718]

Thumb UP and Subscribed because this is the best of Equal Temperament explanation video. Thank you very much for your teaching video.

[@lukeselbeck7595]

Excellent video, very informative, thanks!

[@johnchen4061]

The value of the twelfth root of 2, ie 1.059463 etc as it relates to music was first calculated by a Chinese mathematician/music theorist Zhu Zaiyu in 1584.

[@ginkgoleaves5903]

This is helpful! Thank you for the explanation!

[@discovermaths]

Thanks for watching, Ginkgo!

[@alisonbarber3456]

I have just discovered your wonderful channel and subscribed after watching this video, incredibly helpful when trying to explain this subject to my son. Many Many Thanks 🙌

[@discovermaths]

Thank you Alison!

[@CatherineTang-he2ip]

This is so clear, thank you very much~

[@discovermaths]

Thanks for watching!

[@Dr._Spamy]

as the frequence should be twice as much after twelve tone steps, the factor is exact 2 to the power of 1/12

[@TimpBizkit]

I am wondering why A is made the reference when it comes to a precise 110, 220, 440 etc but C is the reference major scale on all white notes and when the octave number changes.

[@mikebassett9195]

Is there a special name for what your doing with the ratio part. I've always seen the ratio written as a:b not as a number

[@dwlassen]

Thanks for a great video but your G4 is incorrect = should be 440/((2^(1/12))^2) ~= 391.995 (most likely a typo 🙂)

[@milospopadic6284]

Dear Sir,
Why the frequency spacing between semitones is not equal. What is the cause of that? Shouldn't they be the same distance from each other?

[@damoon57]

Great video . I just couldn’t understand how you calculated the ratio !? Where the 1.059 ratio came from !?

[@watercool5]

Every note is 5.9% higher than the previous note.

[@cygil1]

It's 2 to the power of 1/12 th. Music is on a logarithmic scale that doubles the frequency every octave. An octave is actually a twelve semitone interval (in equal temperent) so to go up one semitone is to increase it (multiply it) by 2 to the power of one twelfth.