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Equal Temperament vs Just Intonation 

Science'n'me
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Can you hear the difference between the two scales?
Played on a Yamaha Harmony Director HD-200

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29 авг 2024

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Комментарии : 295   
@daniellu8282
@daniellu8282 5 лет назад
Just imagine a dynamic pure tuner that follow the harmonic structure of the piece. Every modulation would get it's optimal tuning ratio.
@jimbrandom2820
@jimbrandom2820 5 лет назад
with really simple harmony this might work, but equal temperament allows for lots of jazz harmony that wouldn't be possible with just intonation, like 6-9 chords
@babylemurman
@babylemurman 5 лет назад
@@jimbrandom2820 can you explain why a 6-9 chord is impossible?
@TamirOulu
@TamirOulu 5 лет назад
@@babylemurman I am also interested, have you found an answer?
@pirojfmifhghek566
@pirojfmifhghek566 4 года назад
@@babylemurman Well, it has to do with the orientation of the tensions vs the root of the chord. Say you've got a C6-9 chord. You've got a C on the left hand and on the right hand you've got, in ascending order, E-A-D-G. For the sake of the E being more consonant with the C, the E is a just a touch flatter than usual. This sounds good against the C, but then the E sounds like utter dog ass next to the A, which is now no-longer a perfect fourth away. Then you have the G and the D which are also a fourth away, but then you have an issue with how the G and D are adjusted to be more consonant with the C as well. The fourth intervals sound awful when isolated. If you adjust those intervals, then the rest of the notes don't line up with the chord well. It's just dog ass all the way down. You could try to tune all of the intervals in the chord to absolute perfect fourths, but then you'll find that over a couple octaves the notes on the upper and lower end suddenly no longer resemble the notes they're supposed to be. They can end up a semi tone off entirely, which ruins the chord and your sanity. Equal temperament is the only way to avoid ripping your hair out, at the cost of all those tasty consonant overtones.
@alobpreis
@alobpreis 4 года назад
@@pirojfmifhghek566 That's so true. The only thing I'd like to add is that we must bear in mind that here he is using a very simple sound, quite similar to a sine wave. When using more complex sounds, like a piano, guitar, strings, etc., this vibration due to equal temperament being slightly out-of-tune is much less noticeable, if at all.
@TheGr8scott
@TheGr8scott 4 года назад
I have played piano and guitar for years and these "beats" have always annoyed me but until today I did not understand what was happening or how to describe it. I will never be able to unhear this.
@Pakkens_Backyard
@Pakkens_Backyard 3 года назад
It probably plays a huge role in what they call "expression" and all that abstract jazz - dynamics, volume, interval, etc. etc. all play a role in those "beats" which most likely influence "emotion" in at least a subtle way.
@TheGr8scott
@TheGr8scott 3 года назад
@@Pakkens_Backyard Dynamics and volume is the same thing and that doesn't have anything to do with temperament. This effect causes dissonance which is usually undesirable unless you're writing for a horror theme and trying to convey fear/uneasiness. Even then the beating effect from equal temperament is too subtle to use in that way. Of course the choice of temperament does change slightly how a song will sound, however most people are using equal temperament for practical reasons. "Just temperament" would be the most technically correct, however all musicians with fixed pitch instruments would have to retune their instruments each time they play in a different key.
@bnolsen
@bnolsen 3 месяца назад
In college I was always confused when playing strings or singing especially with a piano because the pitch always sounded off. I especially hated piano accompaniment when in choir, and singing along with the radio I would also notice the pitch issues. Rarely my sense of pitch would closely line up with the singer's but I can't remember which songs those were. I didn't realize until recently that I'm probably sensitive to the inherent out of tune-ness of equal temperment.
@ImagineNoHeaven
@ImagineNoHeaven 6 лет назад
Impressed. Such a clear demonstration. 1000 thanks.
@tamayavaldivia4042
@tamayavaldivia4042 Год назад
Same here!! Very helpful 🎉
@dingoswamphead
@dingoswamphead 7 лет назад
Thanks. At last I can really hear the difference.
@chrishall2594
@chrishall2594 6 лет назад
dingoswamphead yes can't find anyone on RU-vid only math dorks
@pantoleonantonio9653
@pantoleonantonio9653 4 года назад
to my ear the ET major chord sounds like its "vibrating", while the JI major chord doesn't
@JiveDadson
@JiveDadson 3 года назад
That's what he meant by "beat frequency".
@triple_x_r_tard
@triple_x_r_tard 3 года назад
yes that's literally what he's talking about. adding tones together creates phase cancellation.
@gitsurfer27
@gitsurfer27 2 года назад
When 2 tones are "out of tune" they vibrate, the more out of tune the more vibration. You'll also notice the ET version was a bit louder, because like the guy above me said, phase cancellation. You could argue the 12tet tuning is superior not just because of its broad possibilities within the music, but also a richer fuller sound created by a slight dissonance of 2 tones not perfectly matching up. The chorus effect utilises this detuning to create rich full bodied sound, and producers know about the benefits of detuning a synth to make it sound bigger.
@christopher19894
@christopher19894 5 лет назад
This area of music is so interesting to me because I spent most of my life totally unaware of it. I assumed the notes were equally spaced by nature. Nerds and spergs in Germany figured out equal temperament and made it standard, African legends in America used that system to invent the blues, and then that American blues sound reached the docks of Liverpool and we got the Beatles. Equal temperament leads to instant key modulation and endless modality. You can jump from major to minor modes very fluidly, and that style of melody writing is the backbone of western music. When instruments became more popular, high-level composers meticulous worked with and around pure intonation and could stay within the western style, but if equal temperament was never standardized, average people would have more difficulty playing all the music of composers, and would probably develop their own kind of folk music that sounded eastern. Maybe it would be more interesting if it happened like that, but the equal temperament nerds made it possible for the public to write and play music like composers without learning the deeper physics of harmony and tuning. Anyone can get started immediately. It's like the way Apple and Microsoft standardized the computer interface and software so you don't have to learn how to code.
@vitulus_
@vitulus_ 4 года назад
In case you're interested, classical stringed music uses just intonation, which still has key modulations, etc.
@MixMastaCopyCat
@MixMastaCopyCat 4 года назад
@@vitulus_ A good thing to note for sure - this is possible on non-fixed-pitch instruments, like fretless stringed instruments, voices, etc, where you can make very fine adjustments to pitch - you can have dynamically just-intoned performances that modulate keys while still maintaining simple harmonious relationships
@Timbyte
@Timbyte 4 года назад
wow, so much to unpack. where did you get that africans used just intonation? isnt their biggest thing was rhythm and syncopation? also, how about the fact that first ppl to equalize the intervals were ancient greeks.
@aristotle_4532
@aristotle_4532 4 года назад
@@Timbyte I think anyone with experience would avoid the beats when there is free control of frequency, in fret-less instruments and human voice. The problem is fixed tuning and mostly in harmonies that last a while. Have you seen this? ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-7GhAuZH6phs.html
@melzlink4100
@melzlink4100 4 года назад
Actually equal temperament always existed, but other temperaments where more popular depending on the place and year, lots of composers created their own tempdrament. In the 19th equal temperament became the standar but allways existed.
@imkerhoogenhout6711
@imkerhoogenhout6711 9 месяцев назад
In "Equal Temperament" the intervals are actually in a geometric series. All the ratios are exactly the same, and that is why any piece can be played in any key, without sounding out of tune.
@Omlet221
@Omlet221 3 года назад
I feel like the extra frequencies from equal temperament makes it sound oddly more complete where as just intonation sounds like a wall of perfect and soulless frequencies hitting me. I think thats probably just because I'm used to equal temperament.
@Lee-xs4dj
@Lee-xs4dj 2 года назад
slightly imperfect harmonies create a more complex waveform, which is satisfying for our brains. Just like why mix engineers always make music sound better by distorting it through imperfect amplifiers such as Neve desks.
@pibroch
@pibroch 2 года назад
@@Lee-xs4dj reminds me of a recording session story where the producer asked the singer to sing flat for part of the song. Had a very hard time trying to do it but he finally achieved it and was rewarded with a big hit.
@TimpBizkit
@TimpBizkit 2 года назад
It's like a singer's vibrato
@pibroch
@pibroch 2 года назад
@@foteinimanou5516 Not a video. All I can remember was that it was a male singer - it may have been a Motown hit.
@clumbus894
@clumbus894 2 года назад
@@Lee-xs4dj It's also why playing, say, 2 clarinets or saxophones or whatever other instrument together sounds drastically fuller and bigger than just playing 1.
@TimpBizkit
@TimpBizkit 2 года назад
It's weird how the third sounds slightly flat on a pure tempered scale, yet the frequency ratios line up better.
@kumoyuki
@kumoyuki 2 года назад
a 5/4 major third is fairly flat from a 12edo major third. This is one of the reasons why guitars are so hard to tune :) Historically, the process of reconciling these differences was called "tempering", but since 12edo (and the keyboard) took over the world of music theory, these subtle distinctions have been lost from the general awareness
@WhisperingWempe
@WhisperingWempe Год назад
@@kumoyuki that's what I mean, I see your comment only now, lol but that's so true. That's why I tune by ear. You need good ears of course.
@WhisperingWempe
@WhisperingWempe Год назад
Also so much harder at live jam sessions. Everyone is tuning, riffing, making noise. Lol. I once played a couple of minutes before I realized I made a mistake. Oh that string is loose. Lol downtuned to match another interval of a different string
@kumoyuki
@kumoyuki Год назад
@@WhisperingWempe and if you have a keyboardist in the band, watch out! They're definitely going to tell you that you're the one who's wrong ;)
@dirkbastardrelief
@dirkbastardrelief 10 месяцев назад
by far the most instructive moment is when you keep your fingers on the keys and toggle the "beating" on and off
@johnnyjaime123
@johnnyjaime123 3 года назад
My ears are so used to equal temperament, I find just intonation "sharp".
@vegeta1885
@vegeta1885 3 года назад
no shit, that's the point. Overtones are different.
@nathanmcmath
@nathanmcmath 3 года назад
The third is lower in just intonation, so it is actually flat...but to me just tuning also sounds more clear/transparent/thin
@cactusowo1835
@cactusowo1835 2 года назад
You are a total detective, I couldn't notice that the major third was flat. Well, it's mostly because people get the emotion plaing just major 3rd chords, just wait until someone plays the just subminor 3rd chord, and then tell me if it's flat, mr. Ears.
@kanker5256
@kanker5256 2 года назад
then you ears are mesmerized into something wrong
@GasparCasaburiAriel
@GasparCasaburiAriel 4 месяца назад
@@nathanmcmath yes, that's because in just tuning you have perfect match between multiples of a base wave frequency (C for example), and when you compare it with equal temperment you get that wobbly sound. That wobbly thing is interference between the waves that are not perfectly multiples of each other
@RobHealey
@RobHealey 3 года назад
I couldn't hear it until you held the C major triad and pressed the pure major button, then it was obvious. Good choice of voice to explain this as well. Thanks
@cloudzrest
@cloudzrest 3 года назад
This is a great demonstration of pure versus equal temperament. Thank you !
@michaelkiese7794
@michaelkiese7794 Год назад
I just realized for the first time in my life that the dial tone for landline phones was just intonated.
@stelladavis1798
@stelladavis1798 4 года назад
I appreciate that this doesn't try to say one is better than the other. It lets the listener make their own decision.
@ye_boi
@ye_boi 3 года назад
Well you don't have much choices more than 99% of modern music is in Equal Temperament
@Shaarpest
@Shaarpest 6 месяцев назад
Equal temperament is necessary for changing keys or using certain chords, just intonation falls out of tune very often.
@Gunbudder
@Gunbudder 2 года назад
Alternate temperaments can be really interesting, but none of them sound as pleasing as equal temperament to me. i often wonder if its because of how i was raised
@8lazingSaddles
@8lazingSaddles 5 месяцев назад
Just intonation to me sounds "cold" on a piano by comparison to equal temperment. You would have to switch to just intonation with every chord change for a song to sound okay - a lot of extra button pressing. I wonder how just intonation would sound in a song with some minor chord changes. I do love the way accapella singers sound using it becasue in that format it really shines.
@alteregocarson
@alteregocarson 5 лет назад
How interesting! We learned about this in school. The concept of the "saddest" minor key holds more water when you have just intonation, as the intervals sounded different than they would in equal temperament, so individual keys would - well - sound different. What do you think about the concept of microtones?
@Sciencenme
@Sciencenme 5 лет назад
Have you ever seen the true temperament guitar? ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE--penQWPHJzI.html The fun things that money can buy! C'mon RU-vid, where's my paycheque :P
@WhisperingWempe
@WhisperingWempe Год назад
I would like to mention Arabic music, Chinese scales... I found this on a website "The most pleasing sounds to the ear are usually combinations of notes related by ratios of small integers, such as the fifth (3/2) or third (5/4). The Just scale is constructed based on the octave and an attempt to have as many of these "nice" intervals as possible. In contrast, one can create scales in other ways, such as a scale based on the fifth only" Well. Usually. For western music🎶😉🎸
@WhisperingWempe
@WhisperingWempe Год назад
Plus, a nice test. Sing the notes of a simple children's song and leave out the last note. Western people will immediately know what the last note should be, even if they don't know the song. Most eastern / Asian people, being used to different musical ladders and notes, often do not. It's a culture thing.
@BastianBatory
@BastianBatory 5 лет назад
Its like a tremolo on a certain harmonic, wooow
@biblebeliever3316
@biblebeliever3316 2 года назад
Great video comparison! In my opinion, a traditional piano sound would display the beauty of just/pure intonation better though. It's fun to think about all the possibilities an instrument like this has too offer with different intonations.
@raph009
@raph009 4 года назад
My mind was blown when I learned about this. That's so cool XD
@xochj
@xochj Год назад
This is one reason I love performing with a chamber choir or ensemble without keyboards or fretted instruments!
@mathaha2922
@mathaha2922 6 лет назад
Very well done. Perfect comparisons and contrasts. Thank you for taking the time to make this video.
@ohokcool
@ohokcool 4 года назад
I couldn’t put my finger on why the just intonation sounded out of tune when actually playing music versus just playing a chord in which it’s MORE in tune, you explained it perfectly and made me realize that you have to actually tune the justonic root to fix it! My question now becomes, is there a microtonal version of the justonic temperament which eliminates the need for tuning to adjust for off-ness in different chords???
@PranavJoshi6687
@PranavJoshi6687 4 года назад
Indian classical music uses microtones, and just intonation. Maybe you'd like to listen to some. Try instrumental, not vocal, or you'd be put off.
@kumoyuki
@kumoyuki 2 года назад
you work completely differently when you work with JI. For example, I am aware of at least 3 significantly different sounding "minor" triads. You choose different ones depending on the context required by the rest of the music. If you want to get a feel for it start listening to barbershop quartet and black gospel choir music. Both of those genres use a lot of just harmonies which arise from the practice of singing together: they are rarely notated accurately (e.g. the 7/4 version of the Dom7 chord), but they sound amazing.
@ohokcool
@ohokcool 2 года назад
I have no idea what I'm talking about here, crazy how you can just lose knowledge like that, like reading something written by someone else. Humans are so interesting.
@347Jimmy
@347Jimmy Год назад
@@PranavJoshi6687 Indian classical ragas don't change chord, much less change key The issues of changing keys in JI simply never occur and never need to be solved
@Mr7Kostas
@Mr7Kostas 7 лет назад
Great video! Nice demonstration!
@CompactStar
@CompactStar Год назад
Great demonstration. Only small thing is that this is not the only just intonation tuning (although it is definitely one of the most common ones historically). For example, instead of the flat major third with a 5:4 just ratio (which I believe was used in this video), you could use the very sharp and bright major third with a 9:7 just ratio, or a Pythagorean major third with a 81:64 ratio, etc.
@nickmacrae5976
@nickmacrae5976 3 года назад
I kind of like the creepy, unsettling sound that just intonation gives when you play in a different key than its tuned to. I wouldn't write a whole piece in it but maybe for one chord. The part at 1:35 especially reminds me of a creepy recording I can't remember. It also kind of reminds me of that hidden track Ambient/Secret off of the Hybrid Theory EP, maybe they used just intonation tuned to the key a semitone lower to get that sound
@hellomate639
@hellomate639 2 года назад
That's actually how temperaments are used. I.e. the Well-Tempered Clavier by Bach was written for a particular tuning scheme called Well-Temperament, though I think people debate about what that exactly meant for his time and place. So, every piece of the Well-Tempered Clavier was written to have chords land in the optimal place for the maximal effect. So, the C-major prelude that everyone knows in Well-Temperament is very harmonic with a lot of resonance because it is made up of chords that are more harmonic with one another: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-US8NHFgKxoE.html&ab_channel=PeterWatchorn-Topic www.ethanhein.com/wp/2020/what-does-the-well-tempered-clavier-sound-like-in-actual-well-temperament/
@vgmilo
@vgmilo 3 года назад
The just intonation almost sounds "too pure" like it is thin because it lacks the beating
@jackcolson4745
@jackcolson4745 7 месяцев назад
It's quite the opposite when you are playing an instrument with good timbre in a good acoustic environment that brings out the overtones. ET sounds flat where JI sounds full.
@No-0ne-is-Alone
@No-0ne-is-Alone 5 лет назад
I like the wobble of equal tempered.
@G_B_G_B
@G_B_G_B 2 года назад
I think different keys has incorporated this imperfection into their character in the history of composition. Personally I have a distinctive feel on E minor mode.
@johnb6723
@johnb6723 Месяц назад
The real purpose of unequal temperament is to give each key a different character.
@SecurityDivision
@SecurityDivision 4 года назад
When you start with Jacob Collier's music, you need that :)
@shazmeister2005
@shazmeister2005 20 дней назад
This is very interesting to me, I play the piano, guitar and bagpipes. Bagpipe tuning is a subject all of its own but it is essentially tuned by ear and it has always annoyed me how even a “perfectly tuned” piano or guitar sounds slightly off to my ear vs playing the same notes on the bagpipes.
@poly_hexamethyl
@poly_hexamethyl 10 месяцев назад
This is fascinating. Aren't we lucky that it's even possible to produce an equal temperament where the errors are small enough so as not to be very noticeable in normal music?
@hobbybaschtler7896
@hobbybaschtler7896 4 года назад
Thanks for the great demo, I was searching for this
@vynderma
@vynderma 2 года назад
Very subtle, but discernible difference. If this could be demonstrated with pure tones, it may be more apparent to many.
@Un1234l
@Un1234l 3 года назад
This explains the sound of choirs and quartets etc.
@rumtumbugger
@rumtumbugger 2 года назад
Good demonstration. This is why everything always sounds out of tune to me. There really is no solution.
@musicforall1983
@musicforall1983 7 лет назад
well explained, what keaboard are you using??
@Sciencenme
@Sciencenme 7 лет назад
Yamaha Harmony Director HD-200
@lifescansdarkly
@lifescansdarkly 3 года назад
Whoah that is crazy! Yes I absolutely can!
@davidnorton1851
@davidnorton1851 3 года назад
Clear and concise demonstration. Thank you!!
@cristiansicilia1286
@cristiansicilia1286 4 месяца назад
Wtf, i love this keyboard😍😍
@jrbr549
@jrbr549 5 лет назад
I'd like to see this again but play F and G major when tuned to C just intonation.
@howardbent5437
@howardbent5437 3 года назад
What an awesome demonstration
@vizvizvizvizviz
@vizvizvizvizviz 7 месяцев назад
Great video! I just (heehee) wanna mention, Just Temperament isn’t really a thing; it’s Just Intonation. Tempering means altering. In Just Intonation, none of the notes are tempered. They’re all just.
@endezeichengrimm
@endezeichengrimm Год назад
Are there any other models of Keyboard that have this feature? I just found the price of this one (Yamaha Harmony Director HD-200).
@micheloliveira6718
@micheloliveira6718 6 лет назад
For those guys who are creating theories from other worlds to illustrate this: this is simpler than it seems. You choose a democratic tuning method, with slightly out of tune everything (equal), or a pure method, which "rounds" some chords (not necessarily C major) and pulls even more out of tune other scales. It’s so easy to understand, no need of formulas here and there. Just understand that with 12 semitones its IMPOSSIBLE to create round octaves.
@zneiko
@zneiko 4 года назад
what do you mean by round octaves
@zneiko
@zneiko 4 года назад
what do you mean by round octaves
@voidedspace5510
@voidedspace5510 3 года назад
@@zneiko Our ears do not perceive octaves as 2:1 ratios, rather some irrational number.
@kumoyuki
@kumoyuki 2 года назад
@@foteinimanou5516 that's because the comment you answered is actually confusing. Octaves are generally defined by the 2:1 frequency ratio - and "round" octaves aren't a thing. What @Michael Oliveira is getting at is the mathematical fact that the way we perceive frequencies can't divide an octave into equal parts with rational numbers. Of course, you can approximate irrational numbers as accurately as you like with rationals, so some music theorists work with "microtones" to try and approximate JI with a more math-friendly framework.
@pedrova8058
@pedrova8058 2 года назад
with 12 equal "tempered" semitones, what was wanted was precisely to have "pure octaves" ; it is the 3rd, 4th and fifths that are not pure in the current system. (thirds are a bit "longer" (sharp) than pure, and 4ths, 5ths are a bit "shorter" (flat)) Keyboard instruments were tuned either by pure 3rds or 5ths, (C to G, then G to D, D to A, etc) this resulted in the fact that, as you progressed adjusting the intonation of each key, the resulting upper or lower octave was no longer a pure 8th (in addition, very dissonant intervals were introduced (wolf notes) in keys farthest from C natural)
@Calvarydima
@Calvarydima 2 года назад
It’s all in the head. Simply because we have gotten used to hearing it that way and not the other
@june-ls1hw
@june-ls1hw 2 месяца назад
I actually prefer equal temperament a lot of the time it adds a little “shimmer” to the sound
@TomtheMagician21
@TomtheMagician21 Год назад
This is so cool and mostly I'm glad you ended it on a nice sounding note rather than one in the wrong key 😂
@ab-zg8pt
@ab-zg8pt 5 лет назад
*OH MY GOD!* *SCREAMS*
@stonethemason12
@stonethemason12 4 года назад
Thanks for this it makes sense and its easy to hear. I definitely noticed the 'beat frequency'
@alexambroise111
@alexambroise111 3 года назад
The pulse doesn't stop, it's just faster
@yessir2u
@yessir2u 6 лет назад
So this means that in "PURE" C, all songs will sound in tune as long as there are no sharps or flats (except for the dominant B flat)? If so, I'm really beginning to catch on.
@spocksmusic
@spocksmusic 6 лет назад
None of the notes or combinations of notes over C will have beats. That doesn't mean that all the chords in C will sound in tune - but all the notes in the scale will sound in tune with the note C (which is usually the bass note).
@kumoyuki
@kumoyuki 2 года назад
the "dominant" Bb is a pretty difficult note to define in JI. The ratio you want is 7/4, but that is actually about 1/3 of a tone flat from the usual definition of the flat seventh scale tone in 5-limit JI.
@jasonmartinez7667
@jasonmartinez7667 4 года назад
Equal temperament is standard and better because music is always moving not stationary.Pure Temperament is too limited!
@musichrisgames2752
@musichrisgames2752 5 месяцев назад
all my frustrations with digital production stem from this concept.
@silentillness
@silentillness 5 лет назад
nice video, i can actually hear the difference and not just look at the numbers
@607
@607 3 года назад
Thank you!!
@pibroch
@pibroch 2 года назад
For me, certain notes in unharmonised melodies often sound wrong in equal temperament. I generally tend to prefer chords in just intonation, (or compromise intonation).
@Pathstobalance
@Pathstobalance 5 лет назад
Nice demo, love that pure 3rd !
@ibraheemtalash5094
@ibraheemtalash5094 3 года назад
No I feel they are same
@WhisperingWempe
@WhisperingWempe Год назад
I always tune my guitars by ear to get best result over the complete neck and you can easily play on the 12th fret, Barre chords, as well as at the neck or nut. Sometimes if tune with device, only the strings, this won't always work out well. I tune by ear, on the 5th fret, the flageolets after and then finally couple of strums to test result Of course sometimes the guitar could use a little recalibration of the neck 🎸😏.
@Sciencenme
@Sciencenme Год назад
Yeah, I do that too with 5th and 7th harmonics of the adjacent string. I think that generates the pythagorean tuning (?). It makes open string E sound heavenly :)
@jooyoonchung3593
@jooyoonchung3593 Год назад
Recently ran into a person who tunes their guitar by ear using chords and he was wondering why after he was done, the chords sounded in tune but the tuner was registering his open strings as out of tune. I told him about just vs equal temperament and I think it blew his mind. It's something that most people never even entertain as a possibility ... there's an assumption that the 12-tone system is somehow perfect and when it's so clearly demonstrated to be flawed it's pretty eye-opening (ear-opening?).
@CrowClouds
@CrowClouds Год назад
Awesome piano wow
@johnnyjohnson6014
@johnnyjohnson6014 5 лет назад
So cool! Well done.
@Pauly421
@Pauly421 4 года назад
Oh god the pure tone in the wrong scale sounds so damned bad haha. I only found out about this today, and I'm playing 15 years lol. Really interesting
@konekoray9323
@konekoray9323 4 года назад
Ever since I learned of equal temperament, it has kind of frustrated me. I heard perfect harmonies once, and suddenly it nags at me whenever something is just slightly out of tune. But I do not know enough about music theory, and cannot afford lessons or tuition, thus I cannot navigate the world of pure intonation alone. I must begrudgingly rely on equal temperament just to get by. This reliance haunts me every time I try to play music.
@kumoyuki
@kumoyuki 2 года назад
start listening to barbershop quartets and gospel choirs :)
@Tubulous123
@Tubulous123 3 года назад
Yes!!! Thank you!!!! 1Nation4Life
@HansPeterDeutsch_hpd
@HansPeterDeutsch_hpd Год назад
As you nicely demonstrated, just intonations sound well only in the one key an instrument was tuned, but prevent transposition and modulation as their inherent inconsistencies make them sound awful in other keys. Equal temperament, on the other hand, is a compromise where every interval between non-equivalent tones is out of tune. This allows free transposition and modulation, as it sounds just as bad in one key as in any other key. But what you might not know is this: Equal temperament is NOT the best compromise. It’s just the one which was historically found centuries ago and used ever since. But this has just changed! The book MUSICAL TONALITY by Hans-Peter Deutsch (DOI: 10.2139/ssrn.4452394, also published on ResearchGate) determines the one, unique intonation which, in a strict mathematical sense, best adheres to the physics of overtones while allowing full transpositional freedom. And it's NOT equal temperament. So, after centuries of enduring either the inconsistencies of historical just intonations or the irrationality of equal temperament, the truly optimal intonation for the western tone structure has finally been found. In this optimal tone system, which is called CLEANTONE TEMPERAMENT, all thirds, fifths, sevenths, etc., and therefore all chords (which are stacks of thirds) sound clean above each and every tone, in every key. For example, a major third is always exactly 5/4, a minor third always 6/5, a perfect fifth always 3/2, a minor seventh always 9/5, a major nineth is 9/4, etc., over each and every base tone, in each and every key! In fact, half of all diatonic intervals have their justest possible frequency ratios - and the intonation is still consistent. The book also develops detailed designs for new instruments, called CLEANTONE KEYBOARDS, which make full use of the new tone system. Just like any musical entity (an interval, a chord, or a melody) has the same sound above any tone in cleantone temperament, it also has the same form above any key on a cleantone keyboard: The keyboard is ISOMORPHIC. And since cleantone keyboards, just like cleantone temperament, are mathematical consequences of the physics of euphony, the geometric arrangements of keys on these keyboard directly correspond to harmonic relationships: The closer keys are on the keyboard, the closer their tones are harmonically. This not only makes playing but also understanding music very intuitive. To summarize: Not only does music in cleantone temperament sound just and pure in every key, it is also easier to understand and perform when using the corresponding cleantone keyboards. All this while allowing full compositional and transpositional freedom. To anyone with experience in musical tuning systems, this might sound almost too good to be true. But it is all real in cleantone temperament, mathematically proven in the publication. You might want to check it out. It might change your life.
@EvaPev
@EvaPev 3 года назад
Great! Thank you!
@sarahmansfield9724
@sarahmansfield9724 2 года назад
Are there any 88-key boards that do this? I need one. Pure temperament feels like "home".
@DanFromIran
@DanFromIran 5 лет назад
wow. the difference is huge. it is obvious even to such untrained ear as mine.
@snrnsjd
@snrnsjd Год назад
In equal temp. The 3rd is higher than the other temperament
@DiamondSane
@DiamondSane 4 года назад
So much thanks
@Mehwhatevr
@Mehwhatevr 2 года назад
I don’t hear it on the first one 😓. I thought at first that the vibration underneath the notes at disappeared, but then you played the, side by side again and it seems I was wrong
@ChasMusic
@ChasMusic 2 года назад
This is the clearest demonstration I've ever seen of this, thank you. So this need to switch that you demonstrated is why we need Hermode tuning, which is supposed to do the adjustment automatically?
@MrSlimfinger
@MrSlimfinger 2 года назад
Does all the diatonic chords in a justly tuned major scale ring "perfectly" or does the reference pitch somehow change even between keys in the same scale? What I'm actually wondering is how "easy" it is to write a diatonic chord sequence using just intonation - do all chords share the same tuning?
@kumoyuki
@kumoyuki 2 года назад
This is a genuinely hard question to answer because the notion of a scale becomes problematic in JI. If you listen to barbershop quartet music, you might begin to see what I mean. The voice parts are clearly staying in a particular set of related tones, but they also migrate around quite a lot - and then they use an intentional "key change" to bring everything back together again. So with that said, if you use the fractions {1, 9/8, 5/4, 4/3, 3/2, 5/3, 15/8} as your "major" scale, then you will have perfect 4:5:6 major chords for I, IV, & V, but you will get a much more complex 135:160:192 sound for the ii chord than the "perfect" 10:12:15, and your iii chord will be 15:18:20 which is much simpler and more "open" sounding than the ii chord. The vi chord falls somewhere in between with a 20:24:27. The diminished triad is particularly problematic with the 45:54:64 harmonic ratio - the problem is that defining the diminished fifth in JI is not very straightforward, and the 7-limit diminished fifths sound a lot better than the available pair of 5-limit candidates. So TL;DR - the major chords are pretty OK, the minor chords are a bit all over the shop. But if you're ready to take a more flexible view of what a "scale" means, you can have a lot of fun
@felixmastropasqua2820
@felixmastropasqua2820 3 года назад
Amazing demonstration! I do wish you would have played other major chords while in pure C major to get the affect of how far off those chords would be too. Or are they all equally as off as the C# major chord, in terms of frequency ratios?
@Sciencenme
@Sciencenme 3 года назад
I wish I did too. Maybe one day when I can borrow it again :) C# and B are definitely the most offensive. The annoying beats comes and goes after that.
@moka1640
@moka1640 2 года назад
Just intonation is more purely tonal in the frequencies where it matters
@darknightmike10yearsago
@darknightmike10yearsago 6 лет назад
How expensive is that keyboard?
@nobbynobbynoob
@nobbynobbynoob 4 года назад
About 2000 USD or so.
@darknightmike10yearsago
@darknightmike10yearsago 4 года назад
Ricardo Wiggett Oh wow. I wish money grew on trees, then I would buy one.
@vynderma
@vynderma 2 года назад
Subtle, but discernible difference to my ear. If it could be demonstrated with pure tones, it may be even more apparent.
@kumoyuki
@kumoyuki 2 года назад
yes. much better that you should leave JI to people who understand it and know how to use it. This is neither. Going from 3,5 otonality to 15 utonality involves a shift at least as significant as the changing from a major key to a minor key. In a sense it's a whole different color palette.
@voidedspace5510
@voidedspace5510 3 года назад
A misconception everyone seems to get is that just temperament is better, but our ears do not follow perfect ratios that everyone here seems to drool over. It is a definite sound difference, however it is not necessarily a better or a louder one due to the nature of the human ear and its frequency interpolation. My opinion: Equal temperament is a more natural sound. Just tempered beats sound awful and in male acapella where they may perform under a just temperament tuning scheme for certain chords, do those "just" beats sound either like a hacksaw if not like I'm playing music through a blown mid-range. There's more to tuning than just root pitch frequencies. You must also consider harmonics nested inside of the sounds you hear. I would really love to see the music world silence this debate over equal and just tempered tunings. I represent the tertiary group that argues that a sharp major 3rd produces the loudest major chords.(Speaking from back in the day when I've marched) If you want loud, huge sounding chords, raise 3rd and fifth up a few cents.
@bryansweeney3077
@bryansweeney3077 3 года назад
Equal temperament only sounds 'natural' to you because you are used to it. In reality, there's nothing natural about it. Tuning to the harmonic series is much more natural, but has certain problems, like presented in the video, so equal temperament was developed as a sort of compromise. Whether it's better or worse is up for debate, but it's certainly not more 'natural', as it deliberately strays from the harmonic series which occurs in nature
@Sathtana
@Sathtana 2 года назад
In the pure temperment, I can hear the over and under tones. Dude that's so fucking cool!
@nahblue
@nahblue 6 лет назад
Nice; I always wanted a digital piano that could do this, just to try :-)
@PichaelMoon
@PichaelMoon 7 лет назад
well done!
@NenaZinovieff
@NenaZinovieff 5 лет назад
Hello, many thanks for this video. where can I find this keyboard? Im searching for a pure intonation keyboard to buy. Thank you! Nena
@derik2nicolai584
@derik2nicolai584 5 лет назад
It's so clear, if you use wave editor will clearer, thanks
@davidmdyer838
@davidmdyer838 3 года назад
The patch you're using is almost a sine wave so the pure tuning isn't as obvious, although the C# major does sound bad. A richer sound would be more obvious.
@pongthrob
@pongthrob 7 месяцев назад
Wha keyboard is that you’re using?
@johnpcomposer
@johnpcomposer 2 года назад
If you are writing for orchestra, you simply can't retune everybody on the fly, or a piano for that matter. ARe you all mostly talking about synthesized music and in some cases actual choirs. Looking at the tradeoffs what did almost 2 thousands years of JI produce and what did a few hundred years of ET produce? In ET you might not be in perfect tune with natural ratios, but how many people (beside Jacob Collier) can hear the difference between 440 hertz and 442. That's a question I have for you all. When people have perfect pitch, it wouldn't be in JI if they'd never heard a JI scale, it would be by ET? Yes, NO?
@charvelgtrs
@charvelgtrs 5 лет назад
Yeah there is a difference, but does it really matter? It actually gives a cool slight tremolo feel.
@s.v.discussion8665
@s.v.discussion8665 Год назад
Any statement using jazz to establish 12-TET as the "correct" tuning is actually a non-argument.
@hudsoncampos5976
@hudsoncampos5976 4 года назад
Very good
@Silversorcerer
@Silversorcerer Год назад
Volume is so low that it's impossible to hear the nuances I'm listening for, even with the speaker in my ear!
@ValkyRiver
@ValkyRiver 3 года назад
Now, do the same experiment with 53-tone equal temperament and just intonation.
@PragmaticAntithesis
@PragmaticAntithesis 3 года назад
To me, ET sounds alive and welcoming, whereas just intonation (even when used properly) sounds robotic and off
@aman-mn5kc
@aman-mn5kc 5 лет назад
Sir, can you please play a song in Just?
@IamJiva
@IamJiva Год назад
предлагаю новый эффект, не флеңджер или транспонирование, а динамически темперируемый строй, в простом идеальном варианте какой нибудь Искусственный Интеллект, типа чат бот джи пи ти, но опытный или хотябы обладающий программно обеспеченной "ловкостью рук", например способный в разрыв миди потока порта включаться, и обучаемый набором правил которые ему надо говорить, например при каждом новом аккорде композиции играемой, например - чтобы каждый раз, этот аккорд игрался с темперированием выбранным как вы в этом видео кнопками переключаете, причем темперирование чтобы влияло только на ноты аккорда, мелодии в этот момент оно может быть и не должно переключаться, тоесть эффект должен распознавать музыкальные кластеры, как минимум аккорды и мелодии раздельно обрабатывать, играя компоненты(кластеры) композиции в выбранном для них темперировании, по предпочитаемому композитором(в первую очередь) варианту, когда каждый аккорд звучит весело или серьёзно, в своём в этот момент выбранном темперировании, и эту окраску никто не сможет сыграть на гитаре или пианино простом, при всей простоте... ...второй предлагаю вариант несколько формализованный алгоритмически: если в каждый момент времени, играются несколько нажатых сейчас клавишь, тоесть рассматривая всю игру на миди клавиатуре как последовательность аккордов из 10..11 нот - клавишь :-))) нажатых, и при любом новом миди событии, нажатие другой, или отпускание нажатой или нескольких нажатых, происходит формально смена аккорда мгновенного аккорда текущего, (громкость его составляющих нот тут не учитываю), теперь даем эти ноты(частоты нот некие стандартные опорные) алгоритму, отпускающему эти частоты плавая сместиться(не более четверти тона видимо допустима коррекция) прийдя к значениям частот играемых сейчас нот нажатых клавишь, при которых максимальное совпадение гармоник будет наблюдаться для аккода текущего,или максимальная громкость взвешенной АЧХ этих полос спектра, более одной на некую частоту суперпозицией наслаивающихся... думаю для аккордов из трёх нот будет даже алгоритмически без нейросети решаться задача соединения в разы большего числа гармоник нот аккорда, так мы получим фортепиано, которое при его нефальшивости и чистоте звука, спектра аккорда, сыгранное с этим "сократителем пушистости спектральной" слепив по 2..3 гармоники разных нот подогнав их частотами слегка для этого, улучшим унисон, сочность, букет нот звучащего аккорда примерно также, как квинтовые аккорды чище (мажорных либо минорных)трезвучий звучат после прохождения аккордом уродующего звук дисторшн эффекта
@IamJiva
@IamJiva Год назад
звук дисторшн эффекта(я получал кстати иначе тотже рок звук... видел в реале четырёхполосный эквалайзер-компрессор-лимитер, в нем диапазон 20..20000гц разделялся "графическим эквалайзером" частотно полосовым бандпасс сплитером полного спектра входного сигнала , разделяясь на четыре полосы спектра(если их смешать будет исходный сигнал, смешать можно микшером..), получая какбы кроссовер для четырёхполосной аккустической системы АС , с диапазонами полос скажем: [20..120] [120..720] [720..4320] [4320..25920] примерно так на том ящике было, далее ниже каждая из полос проходила иңдивидуально настраиваемый нормалайзер громкости(компрессор лимитер), затем смешиваясь выходным четырёхканальным микшером экспериментируя в Пропеллерхед Ризон звуковом редакторе эмуляторе оборудования, я давно нашел в нем эквалайзер разделитель на 4/8/16/32/64/128 полос по желанию включаемый, сначала я настроил один компрессор-лимитер так чтоб он отлично дежал громкость на 0дб тоесть на 100%, с быстрой атакой и чуть медленнее релиз, один такой компрессор давал 24дБ коррекции максимум, поэтому я соединил два подряд, получив 48дб усиления, чего было уже достаточно для тихих звуков даже быстро "на весь экран" их масштабируя, так пропуская ударник с драммашины любой,бочку, я слышал ее хардкор стилем, - было бум бум бум, стало буууубууууубуууу тарелочки также изменились став караталами (колокольчики) было тсс тсс тсс, стало тиииитиииитииии в тоже время при громких тарелочках, компрессор не мог нзависимо поднять грмкость бочки, потому я придумал независимо поднимать каждую полосу эквалайзера, т.к. движки громкости графического многополосного эквалайзера неплохо делили звук на инструменты какбы, тогда:на входе сразу компрессор 48дб,он мало что менял, как AVLS АРУ эффект в плеере, важен если тихое вступление композиции, сразу исходник растянуть на диапазон 100%тный динамический ... до 0дб по показаниям микшера, затем сигнал делился на некоторое число полос, и каждая проходила 48дб компрессор, непрерывно ибыстро ее поднимающий подгоняя под 0дб уровнь...так пианино звучало долго какбы без чувствительности громкости нажатия, и тп. далее стоял микшер смешивающий эти несколько сигналов полос , каждый полной громкости, но не поровну(тогда музыка как белый шум звучит тембром рации будто), а подогнав на слух баланс полос каналами микшера движкам взвешенную сумму получив(тонкомпенсированную под pink noise spectral balance можно сказать), по АЧХ похожую на исходный трек, только по содержанию всё как в HDR Photo методе(делаем серию снимков разной выдержки и диафрагмы, вырезаем и обьединяем с каждого наиболее динамически заполненные от черного до белого участки... снимок где всё белое кроме входа в подвал, подвал берем, на другом только облака хороши, дом и подвал черным залиты, берем облака, и тд... получаем в каждой части фотографии идеальные для нее яркости, всё видно везде(текстура ряби на воде или следы вихрей в облаках, и тд, нечто похожее делал мой эффект этот новый, все инструменты с короткой атакой - пичикато, хлопок и тд, обретали звуковой "хвост кометы" громкости адекватной, убавляя подмешивание этого обработанного сигнала к исходнлму возвращаясь, оркестр будто утопал в темноте, как если вдруг сломалась педаль sustain у фортепиано... аккорды пианино звучали как электрогитара, причем одинакого стройно на любых аккордах, не только квинтах, и главное - чего не было у дисторшн гитары, появился принцип суперпозиции эффекта, теперь было одинакого по звучанию если две гитары каждая через свой персональный такойэффект пропускалась, затем микшером их смешивал, также звучало как и пропущенная через один эффект , сумма двух гитар, было похоже что каждая нота и каждый инструмент вытянулись по длительности и яркости(без divx mp4 мрака темноты), и нзависимо каждая через свою примочку гитарную пропущены были и смешаны далее, но гитарная и так дала бы мусор на верхах, тут же его нет совсем,голос красиво дисторшн имитирует на фоне пианино, можно спеть типа "I loose in my favorite game... you loosing your mind again..." песню на пианино с микрофоном как на гитаре и дисторшн микрофоне ударные всегда бочка хардкорная, верхи караталы и колокола, и теч-степ звук всегда... напор спектрального обогащения при отсутствии искажений полном..., как корни растения заполняющие горшок всё пространство колонизируя на общее дело...
@emsu4914
@emsu4914 Год назад
Can you tell me what the namw and brand of the keyboard are?
@stepankrikava5449
@stepankrikava5449 3 года назад
I had to play in front of 30 people, and when i tried it, it was out of tune (sounded like JI) A digital piano. So I had to go through the pain of playing, and even my almost deaf grandpa, said: "sounds like out of tune" He never played an instrument, and still noticed!
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