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Secret of the Banjo's Unique Sound Discovered By Nobel Prize-Winning Physicist

KentuckyFC (1144503) writes The banjo is a stringed instrument that produces a distinctive metallic sound often associated with country, folk and bluegrass music. It is essentially a drum with a long neck. Strings are fixed at the end of the neck, stretched across the drum and fixed on the other side. They are supported by a bridge that sits on the drum membrane. While the instrument is straightforward in design and the metallic timbre easy to reproduce, acoustics experts have long puzzled over exactly how the instrument produces its characteristic tones. Now David Politzer, who won the Nobel prize for physics in 2004, has worked out the answer. He says the noise is the result of two different kinds of vibrations. First there is the vibration of the string, producing a certain note. However, the drum also vibrates and this pushes the bridge back and forth causing the string to stretch and relax. This modulates the frequency of the note. When frequency of this modulation is below about 20 hertz, it creates a warbling effect. Guitar players can do the same thing by pushing a string back and forth after it is plucked. But when the modulating frequency is higher, the ear experiences it as a kind of metallic crash. And it is this that gives the banjo its characteristic twang. If you're in any doubt, try replacing the drum membrane with a piece of wood and the twang goes away. That's because the wood is stiffer and so does not vibrate to the same extent. Interesting what Nobel prize-winning physicists do in their spare time.

54 of 101 comments (clear)

  1. Now you have found me... by Anonymous Coward · · Score: 1
  2. Keb' Mo' with banjo picks on guitar is something by smittyoneeach · · Score: 2

    live:
    https://www.youtube.com/watch?v=d-ZFg5-oaS0
    the studio version is tighter:
    https://www.youtube.com/watch?v=qKQWhsLbe9E
    can't decide which I prefer.

    --
    Get thee glass eyes, and, like a scurvy politician, seem to see things thou dost not.--King Lear
  3. Re:banjo is for poor people by ArcadeMan · · Score: 1, Interesting

    Banjo is for robots.

  4. what a Happy instrument by turkeydance · · Score: 4, Funny

    You just can't sing a depressing song when you're playing the banjo. You can't go-- "Oh, murder and death and grief and sorrow!" --Steve Martin http://snltranscripts.jt.org/7...

    1. Re:what a Happy instrument by rev0lt · · Score: 2

      My favourite banjo song: https://www.youtube.com/watch?...

    2. Re: what a Happy instrument by bill_mcgonigle · · Score: 2

      not as socially poignant as Space Worms.

      --
      My God, it's Full of Source!
      OUTSIDE_IP=$(dig +short my.ip @outsideip.net)
    3. Re:what a Happy instrument by Intron · · Score: 1

      Men with Banjos and Paul Shaffer

      https://www.youtube.com/watch?...

      --
      Intron: the portion of DNA which expresses nothing useful.
    4. Re:what a Happy instrument by i.r.id10t · · Score: 2

      Think most folks here and geeks in general would recognize this one -

      The Eagles-Journey of the Sorcerer

      --
      Don't blame me, I voted for Kodos
    5. Re:what a Happy instrument by Cow+Jones · · Score: 1

      This one sounds sad enough: http://youtu.be/14BmN_ejBX4
      Beautiful, too.

      --

      Ah, arrogance and stupidity, all in the same package. How efficient of you. -- Londo Mollari
  5. The real secret by hedgemage · · Score: 3, Informative

    The drum membrane is made out of 'possum skin.

    1. Re:The real secret by LifesABeach · · Score: 2

      This sure looks like a candidate for an IgNobel?

  6. dont need to replace the drumhead.... by Lumpy · · Score: 4, Interesting

    Just hold a thumb against it. a Lot of us players do that to adjust the sound for different "expression"

    --
    Do not look at laser with remaining good eye.
    1. Re:dont need to replace the drumhead.... by Charliemopps · · Score: 1, Informative

      Just hold a thumb against it. a Lot of us players do that to adjust the sound for different "expression"

      Right... this seems like more of "A scientist that doesn't know anything about music explains something everyone who plays already knew" type of thing.

    2. Re:dont need to replace the drumhead.... by sribe · · Score: 5, Insightful

      Right... this seems like more of "A scientist that doesn't know anything about music explains something everyone who plays already knew" type of thing.

      No, more like: everybody pretty much knew that the bridge being mounted on a vibrating membrane would affect the sound, but a scientist thoroughly analyzed and modeled the whole setup in order to quantitatively figure out exactly how all the parts and vibrations contributed to the sound. Then a dumbass know-nothing journalist wrote an article that misstated what had actually happened ;-)

    3. Re:dont need to replace the drumhead.... by umghhh · · Score: 1
      you forgot the endless bitching on /. about dumbass half brain of a scientist while at the same time not being able to explain the exact mechanics of the banjo effect.

      I am half burnt now but I still remember times at school when this sort of explanations provided me with joy at learning stuff like physics and math instead of listening to explanation of a teacher that has no f. clue what he is talking about and what role his 'knowledge' has in my and my fellow students reality, combined with explanations in another subject ended with 'it is just so'. I am not sure we have to shoot things into orbit just to find out that parking lot without trees is hotter than one with them but I like when there are formulas at hand when one asks for them.

  7. What about the Nobel prize-winning biologists? by ArcadeMan · · Score: 3, Funny

    I've heard some of them are still searching for that elusive Gräfenberg spot in their spare time.

  8. Ig Noble by excelsior_gr · · Score: 1

    I think he's just going for the Ig Noble prize.

    1. Re: Ig Noble by bill_mcgonigle · · Score: 1

      then go out with a Darwin for the hattrick?

      --
      My God, it's Full of Source!
      OUTSIDE_IP=$(dig +short my.ip @outsideip.net)
    2. Re:Ig Noble by itzly · · Score: 1

      Nah, he's going for the Politzer prize.

  9. Re:Banjo = guitar + snare drum by Kkloe · · Score: 5, Informative

    yes but have you written it down? have you done the math behind it?
    here is the original paper http://arxiv.org/pdf/1406.4907...

  10. Re:he must be bored by bswarm · · Score: 1

    I was thinking the same, it really doesn't take a rocket scientist to figure out a banjo has dual harmonic vibrations. Duh, it has a drum and some strings. Maybe he should patent-troll it so he can try and collect for every banjo ever made.

  11. So the banjo is FM by Anonymous Coward · · Score: 1

    So the banjo is acoustic frequency modulating. When was the first electronic FM synth invented? It would be interesting if some engineers could take this one step further and create a mechanical FM synth. How high a frequency could you get, and what kind of sounds could you build?

  12. Banjo jokes by tomhath · · Score: 5, Funny

    Q: How can you tell if the stage at a Bluegrass concert is level?

    A: The banjo player drools out of both sides of his mouth.

    1. Re: Banjo jokes by bregmata · · Score: 1

      No, perfect pitch is where you toss a banjo into a dumpster and it hits the accordion.

  13. Banjos...not a fan... by VAXcat · · Score: 5, Funny

    One day my old pal David has played a gig with some local musicians, including his roommate, Bob, who was a banjo player. After the set, Bob was going somewhere else with some other people, so he asked Dave to take his banjo home for him. On the way home, David stopped at the convenience store to get a six pack. As he was standing in line, he suddenly realized that he had left the car windows down, and that he was in a bad neighborhood. He rushed out, but, sure as hell, the worst possible thing had happened - exactly what he was afraid of - someone had spotted the open car windows, and thrown two more banjoes in the car.

    --
    There is no God, and Dirac is his prophet.
    1. Re:Banjos...not a fan... by Anonymous Coward · · Score: 1

      http://pic20.picturetrail.com/VOL1600/965874/3155343/180717318.jpg

    2. Re:Banjos...not a fan... by TeknoHog · · Score: 1

      On the plus side, you can use the disabled parking space if your banjo is clearly visible.

      --
      Escher was the first MC and Giger invented the HR department.
  14. Re:he must be bored by Anonymous Coward · · Score: 1

    Yeah, that asshole better apologize wasting your precious /. time with his irrelevant, unapproved research. How dare he!!!

  15. OP is obliquely critical of Politzer by aurizon · · Score: 3, Insightful

    ! Interesting what Nobel prize-winning physicists do in their spare time. !

    This tells the tail of an inquiring mind that turns it's focus on many things. He reminds me of Fenman, among many similar Nobel Laureates, whose curiosity was not limited by a 9-5 mentality, but was active 24/7.

    It is this quality that produces the Nobels...

    1. Re:OP is obliquely critical of Politzer by aurizon · · Score: 1

      typo, should be Feynman in my RP

    2. Re:OP is obliquely critical of Politzer by Ultracrepidarian · · Score: 1

      It's OK. Most of these banjo fans spell Nobel Noble.

    3. Re:OP is obliquely critical of Politzer by Enigma2175 · · Score: 1

      Really, you're going to fix Feynman but not going to fix "Tell the tail" or Politzer?

      --

      Enigma

    4. Re:OP is obliquely critical of Politzer by aurizon · · Score: 1

      Arrrgh, typos breed like flies with machines that that both present a tiny view and finish words for you...

  16. Sitars by billstewart · · Score: 4, Informative

    The sitar has several things going on with it

    • -- The body has a chamber made from a big gourd, and a wooden neck with adjustable frets.
    • -- There's a layer of strings that you pick, optionally pressing on the string over a fret to change the pitch.
    • -- There's another layer of strings underneath that resonate when you play the note they're tuned to on the main strings, which provides some amplification and a lot of sustain; that's one of the things that gives the sitar its characteristic sound.
    • -- In addition to fretting a string when you pick it, you can also bend it to the side, changing the pitch dynamically, which is another characteristic sitar sound. Guitar and bass players also use this technique, but sitar strings are long enough that it's easier to do.
    • -- Generally there are two or three strings that you'll play the melody notes on, and several more strings that you pick without fretting, letting them drone like a mountain dulcimer; that's another characteristic sitar sound.
    • That's most of the technology parts; the rest is about the music itself.

    Indian classical music theory is complex, at least as much as European classical music theory or jazz. There's a lot of stuff about "ragas", which are a combination of a scale or scales, melodies, fixed parts and improvised parts, with a lot of rules about which ones are appropriate for which situations.

    --

    Bill Stewart
    New Fast-Compression-only CPR http://preview.tinyurl.com/dy575ks
  17. Of course you can by billstewart · · Score: 1

    That's what all the weird minor keys and modes are for.

    --

    Bill Stewart
    New Fast-Compression-only CPR http://preview.tinyurl.com/dy575ks
  18. Re:Banjo/drummer/viola/accordion jokes by billstewart · · Score: 1

    Most of them can be recycled easily between genres; the drummer jokes (or bass player jokes) are more likely to be about the players, while the others are more likely to be about the instruments themselves, but either way.

    I did see somebody the other day with a t-shirt captioned "First violinist problems", showing a musical staff and a note about 10 lines above the staff.

    --

    Bill Stewart
    New Fast-Compression-only CPR http://preview.tinyurl.com/dy575ks
  19. Not the first one. by 140Mandak262Jamuna · · Score: 4, Interesting
    He is not the first Nobel Laureate to be fascinated by the drums and vibrating membranes. Sir C V Raman, of the Raman Effect fame, was intrigued by the Indian drums, the Tabla and the mridangam. He published why and how they produce harmonics (paywall) back in 1920s. A synopsis.

    In some sense it is not a surprise because his main work was on vibrating electromagnetic fields, and the natural modes of vibration of circular membranes is a very good way to practice the mathematics of vibrations.

    --
    sed -e 's/Chuck Norris/Rajnikant/g' joke > fact
  20. Interesting spare time by Anonymous Coward · · Score: 5, Interesting

    Richard Feynman enjoyed playing the bongo drums, picking locks, and whatnot; and also

    Then I had another thought: Physics disgusts me a little bit now, but I used to enjoy doing physics. Why did I enjoy it? I used to play with it. I used to do whatever I felt like doing - it didn't have to do with whether it was important for the development of nuclear physics, but whether it was interesting and amusing for me to play with. When I was in high school, I'd see water running out of a faucet growing narrower, and wonder if I could figure out what determines that curve. I found it was rather easy to do. I didn't have to do it; it wasn't important for the future of science; somebody else had already done it. That didn't make any difference. I'd invent things and play with things for my own entertainment.
    So I got this new attitude. Now that I am burned out and I'll never accomplish anything, I've got this nice position at the university teaching classes which I rather enjoy, and just like I read the Arabian Nights for pleasure, I'm going to play with physics, whenever I want to, without worrying about any importance whatsoever.

    Within a week I was in the cafeteria and some guy, fooling around, throws a plate in the air. As the plate went up in the air I saw it wobble, and I noticed the red medallion of Cornell on the plate going around. It was pretty obvious to me that the medallion went around faster than the wobbling.

    I had nothing to do, so I start to figure out the motion of the rotating plate. I discover that when the angle is very slight, the medallion rotates twice as fast as the wobble rate - two to one [Note: Feynman mis-remembers here---the factor of 2 is the other way]. It came out of a complicated equation! Then I thought, ``Is there some way I can see in a more fundamental way, by looking at the forces or the dynamics, why it's two to one?''

    I don't remember how I did it, but I ultimately worked out what the motion of the mass particles is, and how all the accelerations balance to make it come out two to one.

    I still remember going to Hans Bethe and saying, ``Hey, Hans! I noticed something interesting. Here the plate goes around so, and the reason it's two to one is ...'' and I showed him the accelerations.

    He says, ``Feynman, that's pretty interesting, but what's the importance of it? Why are you doing it?''

    ``Hah!'' I say. ``There's no importance whatsoever. I'm just doing it for the fun of it.'' His reaction didn't discourage me; I had made up my mind I was going to enjoy physics and do whatever I liked.

    I went on to work out equations of wobbles. Then I thought about how electron orbits start to move in relativity. Then there's the Dirac Equation in electrodynamics. And then quantum electrodynamics. And before I knew it (it was a very short time) I was ``playing'' - working, really - with the same old problem that I loved so much, that I had stopped working on when I went to Los Alamos: my thesis-type problems; all those old-fashioned, wonderful things.

    It was effortless. It was easy to play with these things. It was like uncorking a bottle: Everything flowed out effortlessly. I almost tried to resist it! There was no importance to what I was doing, but ultimately there was. The diagrams and the whole business that I got the Nobel Prize for came from that piddling around with the wobbling plate.

    -- Surely you're joking, Mr. Feynman (c) 1985, PP 157-158

    1. Re:Interesting spare time by ToddInSF · · Score: 1

      Thank you very much for sharing this !

  21. This has been known about for a long time. by Anonymous Coward · · Score: 3, Interesting

    Florian Pfeiffle and Rolf Bader wrote a paper called "Real-Time Physical Modelling of a complete Banjo geometry using FPGA hardware technology" that explores this:

    http://www.systmuwi.de/Pdf/Papers/Bader%20papers/Physical%20Modeling/PhysicalModeling_Banjo/Pfeifle,Bader_04FPGA_Format.pdf

  22. FM by Anonymous Coward · · Score: 1

    This effect on timbre is well known and was the basis for the range of Yamaha DX synthesizers in the 1980s. Basically when a tone is modulated (pitch changed) at high speed, instead of hearing a vibrato, you hear it as additional overtones, i.e. a change in the quality (timbre) of the sound. This technique is called Frequency Modulation (FM). It's especially useful for generating metallic and bell-like tones, like the famous FM electric piano sound of the 1980s.

    The vibration of the drumhead at audio frequencies causes additional overtones through an FM effect. Damping the drumhead (or replacing it with a solid alternative) eliminates this effect and the additional overtones created. This is basic synthesis theory that any keyboard player would know.

    Unsurprisingly, FM synthesizers can do a very convincing banjo copy.

  23. Re:he must be bored by epyT-R · · Score: 1

    I just don't see how this is really news of interest. I mean, good for him if he wanted to figure it out, but the discovery does not warrant coverage just because he's a nobel prize winner.

  24. Re:he must be bored by Anonymous Coward · · Score: 1

    Nah, he's studying liberalism. It's important to understand the enemy's ego-driven, self important, aggrandizing motivations, faux sophistication, and how they interact with the inherent fallacies of marxist ideology. Then we can change pre-K education to keep kids off the path of professional victim degeneration and concern-troll lawyering, and focus them towards independent thought and critical thinking, where fallacious sacred cows, like consensus and feelings, don't take precedent.

  25. Re: Banjo = guitar + snare drum by O('_')O_Bush · · Score: 3, Interesting

    Does it need to be written down? It wasn't like the banjo was accidentally made... it was designed that way. That is why there are all sorts of hybrid instruments, like the Dulcijo (dulcimer banjo), where the whole body is designed to be just like a normal dulcimer except for the bridge, which sits atop a tiny drum head like a banjo does.

    Bridge+vibrating support for the bridge + vibrating strings = banjo sound has been no big secret for a long time.

    It is neat he did math behind it, but the summary makes claims about how mysterious it was, and that sounds pretty ridiculous.

    --
    while(1) attack(People.Sandy);
  26. Re: he must be bored by O('_')O_Bush · · Score: 1

    As I pointed out elsewhere, it is common knowledge to traditional music makers that a vibrating bridge makes the banjo sound. That is why there are instruments like this:

    http://www.gardnersdulcimer.com/data/Images_Additional/dulcijo3.jpg

    Designed just like this:

    http://gibsondulcimers.com/In%20Stock/Baritone%20Dulcimer%2047609/Baritone%20Dulcimer%2047609%20Front.jpg

    Except, big surprise, they put a tiny drum head only under the bridge so that the bridge could vibrate and make a more banjo-ey sound.

    --
    while(1) attack(People.Sandy);
  27. Re:banjo is for poor people by Ol+Biscuitbarrel · · Score: 2

    Actually the highest priced banjo on eBay is currently going for $24,900. Some vintage 5 strings sell for ca. $75k or more; by my informal estimate your average bluegrass musician spends about $1.5k on their instrument, some more than that. Contrast that with how you can buy a serviceable electric guitar at box stores for $200. I don't know what the typical rocker is spending these days, and indeed some spend tens of thousands on old Fenders and Gibsons, but I'd reckon that bluegrass banjo players are anything but poor.

  28. Re:Banjo = guitar + snare drum by Anonymous Coward · · Score: 1

    No offense, but this was a complete waste of an article. You ask anyone associated with making this or any stringed instrument and they could have easily given you the answer. There's reasons why instrument makers use or experiment with different bridge, body, fret board, the frets themselves with different materials. Most stick to standard materials. I've seen Banjo's in slow motion and can easily see how the details, such as the vibrations from the entire instrument.

    Just because the guy is a Nobel peace prize winner, this doesn't make him the only person on the planet to have figured this out. And I'm sure because this is a geek and nerd site everyone will pretend as if this story and the man behind the -already known- reasons for a Banjo's tone, he will be immediately worshiped.

  29. Re:banjo is for poor people by flyneye · · Score: 1

    Contrast that with high end new archtop guitars selling between $30-60k and vintage ones where the sky is the limit.
    Truthfully, you can get most instruments in a variety of price ranges, dependent on your needs or vanity.
    The short lifecycle of a $200 instrument usually ends up in a spare parts drawer. Most instruments over $10k don''t see much more action than the studio or a display case. A good all round workhorse guitar for most uses SHOULD weigh in around $3-5k, the higher end of "off the rack".
    A good banjo should bring enough at pawn to bail its owner out of jail as a general rule.

    --
    *Repent!Quit Your Job!Slack Off!The World Ends Tomorrow and You May Die!
  30. Re:OK by NemoinSpace · · Score: 1

    Acid. That explains Harrisons early use anyway. There were others, but without copious amounts of acid on both the player and the listener, it fell out of favor. Now, the scientist that invented acid, Hoffman - that's the guy you want to read about.

  31. FTFY by SpaceBuggy · · Score: 1

    "...acoustics experts with too much free time have long puzzled over exactly how the instrument produces its characteristic tones."

  32. What this means! by frank_adrian314159 · · Score: 1

    Overheard at banjo manufacturers worldwide:

    Gentlemen, we now have the technology to make a banjo that doesn't sound sucky!

    But then how would anyone know it's a banjo?

    --
    That is all.
  33. finally, a scientific explanation by DulcetTone · · Score: 1

    How long before before we field a serviceable apology?

    --
    tone
  34. Re:FM by Alioth · · Score: 1

    The size and construction of the head probably makes quite a lot of difference. I have an old Dallas D banjo ukulele (a George Formby branded one, no less) and the head had an inner hoop in it which makes the effective area of the head a bit smaller than the entire diameter. As such the overtones are softer and it sounds less "banjoey" (but still very different from a standard ukulele). The other consequence of the banjo uke head is that if you play a chord like F# where one string is not strummed, you need to mute the string that's not played otherwise the head will cause the string to vibrate and make the chord sound awful.

  35. It's all in the bridge by Waccoon · · Score: 1

    It's been known for a while that if you place a banjo mute or any other metal object directly on the bridge, not only does it mute the volume but it also eliminates the characteristic, metallic ring. Placing objects anywhere else along the strings, pot, or even on the drum has little to no effect. The "valley" created by the bridge pressing into the drum is surprisingly small, so only a very small area of the drum affects the behavior of the bridge.

    The bridge is what defines the sound of the banjo, and using differently shaped bridges has a bigger impact than using different drum materials.

    It's a shame I lost most of the strength in my fingers over the years. I tried different setups for my banjo, but I could never actually play it. It's a wonderful and fascinating instrument.