The Tuning Systems of Western Music

[@austininflorida]

That violin stock footage really did find a lot of use, though it should be noted that violinists are generally discouraged from using equal temperament.

[@Dracopol]

Your math equations are way off: 1:40 Wavelength is inversely proportional to frequency, which means wavelength is proportional to the RECIPROCAL of frequency (1/f) and not f itself. 5:35: 12 times the 12th root of 2 gives you 12.713. What you mean to get back to to is to multiply twelve 12th roots of 2 together, or raise the 12th roof of 2 to the twelfth power, to get back to 2.

[@moseskfrost]

Background music: B-W-V MXLIII:I, vivace.

[@kaifeng_jack5532]

This video is seriously underrated

[@MrPhinev]

Nice video but 12 times the 12th root of 2 isn’t 2. If you raise it to the power of 12 it is though.

[@bijankhadembashi1016]

yeah that's a red flag

[@nquerosaber]

the perfect 5th and perfect 4th in 12TET are also in just intonation's ratio in portuguese we call them quinta justa and quarta justa, or just 5th and just 4th i believe the reason its called perfect and not just, is to avoid confusion, because "just 5th" sounds like "only 5th", but the word "justa" means the note is tight or precise, even though ptolemy was greek, he lived in roman territories, and he named just intonation from the latim word juxta that means "nearby" or "closest to"

[@duaneyaiser5294]

You had 440 likes and I had a very hard time knocking that number out of tune.

[@samgoldsmith3759]

Are you the lovechild of 3blue1brown and Adam Neely? Also, great video

[@PolychoronProductions]

That’s the goal! You’re actually not that far off with 3b1b, it’s an honour to be compared to him.

[@fyremusic6307]

@@PolychoronProductions yeah you actually very good like him why I like you channel subeed and joined discord and likes :clap

[@banan9782]

That is so accurate

[@gerhardashgrey9294]

Again it is a very nice video, I learned a lot, it was very informative, in a way complex but still very transpartent \☺/. I unfortunetaly can't help myself and I have to nitpick, at 5:36 12*(12th root of 2) isn't two, you probably meant (12th root of 2)^12 . Sorry for being so nitpicky, but I couldn't help myself but to nitpick :( But otherwise, a great video.

[@SehrLukas]

great educational material :-) but I missed at least a hint towards pythagorean and mean-tone-temperaments, although lots of hip-musicians have to accept the truth that 12-edo was theoretically developed in the late 16th century (and lots of modern classical musicians should learn that for instance Kirnberger 3 was still in use as late as Beethoven and Schubert which gives Ab major just that bit more funky flavor)

[@xamtems]

Loved when Jacob was showing off his vocal skills.

[@epiphoney]

You missed some meantone and well temperaments. Check out free note records for just intonation. They have a band camp.

[@mistermessy735]

why does this video not even have 1k views? this should have way more! keep up the good work!

[@aixide]

4:36 Is that supposed to sound in tune? I know it's probably just my ears being used to equal temperament, but that absolutely doesn't sound in tune to me

[@ericpalacios920]

I think it's definitely off. Just intonation is very delicate. Since the lick resolves on an A he probably should've built some sort of just intonated A minor scale but it sounds like he just used C major.

[@DeathScyther006]

to say that 12 tone equal temperament has been the standard since 1584 is stretch. Even though it was known theoretically, it still was not practical to implement for another few centuries. Definitely harpsichord music was not written with equal temperament in mind.

[@s.vidhyardhsingh3881]

5:10 woah someone just flew by!! 😂

[@fyremusic6307]

Amazing!

[@CLK200]

When something is an octave higher it is duble the frequency as the same key an octave lower

[@curtpiazza1688]

Interesting!

[@LiwaySaGu]

great material but why do you have to put that background music, it interferes with the explanation

[@johanbluckert2416]

First of all I love your channel. You are however giving a much to oversimplified story of equal temperament. I would recommend you read How equal temperament ruined harmony by Ross Duffin. Keep up the good work!

[@marcospinmusic]

Clear and concise; well done!

[@Qaptyl]

Some mathematician somewhere died at 5:32

[@hansmartin828]

Bartok and Boulez are very dubious examples of microtonal composers. Boulez only did one work exploring quarter-tones (Le Visage nuptial) and I'm not even sure that Bartok worked on microtonality. You could have mentioned, more appropriately, composers such as Alois Hába, Ivan Wyschnegradsky and Giacinto Scelsi.

[@mikey180211]

What do you say at 4:56?

[@crosh3301]

My only video which is a My Singing Monsters song has more views than this. And this isn’t a shitpost.

[@BizarreStorm]

Or drop 4k on a Lumatone keyboard.

[@llamasarus1]

4:33 Is it me or does the first example sound out of tune as well?

[@segmentsAndCurves]

3:37 As a 7-limit boi, I feel insulted.

[@ramiro_echeverria]

Yeah, I don't particularly like when these kind of video explain "just intonation" as one single tunning system where there are infinite many kinds of them(5-limit 7-limit etc) . Another problem is that this video mixes pythagorean tunning and just intonation when those are two different things, I would recommend this other video about temperaments instead (kzbin.info/www/bejne/ipjakpx7gNOAirM ).

[@shumzai]

5:35 ??? 12 * ( 12th root of 2 ) is not 2.

[@dominicstewart-guido7598]

4:38 bruh

[@therealzilch]

At 1:30, you say that just intonation was invented by Pythagoras. Nope. Very poor research skills.