The Harmonic Series

Тәжірибелік нұсқаулар және стиль

Thanks for watching! I design and manufacture fun and interesting electronic music equipment for Rare Waves LLC (rarewaves.net). Please check out the other great gear I have developed: Grendel Grenadier, Grendel Drone Commander, Rare Waves Hydronium, Lite2Sound, Rare Waves Tune in Tokyo.
Video description: An electronic filter dissects a sawtooth waveform (82 Hz, pitch E) into the first twenty-four partials of the harmonic series. The waveform is displayed on an oscilloscope with annotations to indicate the harmonic relationships. One can see that by counting the number of crests in the waveform per fundamental cycle, the harmonic number is easily obtained.
Have you heard a melody played with the notes of the harmonic series? It can be a pleasant alternative to the 12-tone equal tempered octave. Which instruments are capable of this?
You can approximate the harmonic series on a chromatic instrument by playing the series of pitches listed in the right hand column over a drone note at the fundamental frequency.
You can also hear the harmonic series by whirling an open-ended corrugated tube around in a circle. These are found in some toy stores and educational science shops. Try this and you'll notice it takes more and more effort to get to the next highest overtone, despite the fact that the pitch increments are getting smaller.
A photograph is included of the voltage-controlled diode ladder filter that was used for this video. Text scanned from THE EMI WALL CHART For Musical Instrument Making. Filmed from a Tektronix 2430A digital oscilloscope.
Original content by Eric Archer 2011

Пікірлер: 47

  • @edshift
    @edshift11 жыл бұрын

    What I love about the harmonic series is once you tune into it you hear it everywhere. In nature in the wind. In cars rushing past. It's just everywhere. It bathes you in music. Naturally occurring music. Luv and Peace,.

  • @sammysoil77

    @sammysoil77

    7 жыл бұрын

    I'm glad you hear it too. I tell this to my friends and they just say "Lay off the acid, buddy", no matter how much physics I use to justify that there actually is an audible series of harmonic overtones in pretty much any constrained and vibrating column of air, and that they just aren't listening hard enough :(

  • @JoshNpublicgplus

    @JoshNpublicgplus

    6 жыл бұрын

    How do you "tune into it"?

  • @sammysoil77

    @sammysoil77

    6 жыл бұрын

    It's just ear-training First make sure you know what you're listening for. Hum along with this video, when it gets beyond your vocal range just hum along in your head, then try doing it without the video. It's best if you have a string instrument or something where you can actually have reproducible resonance to experiment with for damping out the different harmonics: acousticguitar.com/learn-how-to-play-natural-harmonics/ Play an open string (low bass notes work well, low E string on a guitar for example), listen real close, then touch the string at one of the harmonics (damping the oscillator) and you'll hear an overtone that was there all along. Then play the open string again and see if you can hear the overtone without damping the string. If you're hard-pressed to find a string-instrument, then with some patience (and maybe some time with the house to yourself haha) you might be able to practice with just your voice: kzread.info/dash/bejne/oISpm7qGfbyXiZs.html For easily audible sources of harmonics in the world, anything with a clear fundamental pitch, like birds chirping, or anything with energetic white-noise with lots of low bass tones: microwave in the kitchen, planes passing overhead, wind. With the plane passing overhead there will be a descent in frequency due to the Doppler effect, and sometimes this will audibly pass through several overtone frequencies which will be amplified due to resonance, so it sounds something like the second half of this video. Once you start to hear it you'll start to hear it more and then everywhere. You can just tune right in to nature :)

  • @jensonjat8929

    @jensonjat8929

    3 жыл бұрын

    I listened to an air compressor run and I was able to tune in to all the harmonics. It really is a fascinating phenomenon

  • @beanzthumbz
    @beanzthumbz2 жыл бұрын

    I’m really late to the music nerd party, but another interesting fact about the harmonic series is that it’s divergent, if you’ve ever studied infinite series in maths. So even by the end of this video you can barely hear the pitch increasing, but it will continue to increase off to infinity, it will just take far more overtones to get there. It might take another 100 steps to go up another semi tone, and when the steps are around 5 cents each, you won’t be able to hear them at all because this is roughly the maximum sensitivity of the human each to hear changes in pitch.

  • @twilwel
    @twilwel4 жыл бұрын

    Good visualisation. The human voice is one of the instruments that can use the harmonics. It is called overtone singing. The vocal chords produce a constant fundamental note and the throat, soft palate, tongue and lips manipulate this fundamental into the overtones or harmonics.

  • @Dude8718

    @Dude8718

    2 жыл бұрын

    I've been "overtone singing" my harmonic. By changing my mouth shape I can filter harmonics on just one note and play the harmonic series on each note. And use the first and fifth as drone notes but play harmonic Melodies with my mouth. I'm new tho so I can't string Melodie's very well, just working on locking in the mouth shapes for best tone.

  • @ashmckinlay1402
    @ashmckinlay14024 жыл бұрын

    The fact that contained within the first 5 harmonics are the tonic, major 3rd and perfect 5th gives me a great sense of well-being, as it implies that the consonance of these intervals in western music is not just because of our culture and the human brain but in fact a built in feature of physics. It makes the standard major triad more bona fide in my opinion.

  • @jacobruiz97

    @jacobruiz97

    4 жыл бұрын

    Totally. The harmonic series lays the foundation for all human tonal music.

  • @stevonico
    @stevonico5 жыл бұрын

    this is the music of nature

  • @ejtonefan

    @ejtonefan

    4 жыл бұрын

    so says Ted Greene

  • @EA78751
    @EA7875112 жыл бұрын

    @garfrankwyn the harmonic series is appealing to me because it shows the importance of natural numbers in nature. frequency and tempo can be infinitesimally varied by fractions and decimals, but the simplicity of overtones shows a more fundamental element of musical physics. thank you for the kind words, and I appreciate the encouragement.

  • @jaydenwilson9522

    @jaydenwilson9522

    9 ай бұрын

    music isn't a fraction... its a multiple of the fundamental friend. happy travels fellow traveller.

  • @cactusowo1835
    @cactusowo18353 жыл бұрын

    We have to admit that we came just to hear the harmonic min 7th :P

  • @sdkudrgn01
    @sdkudrgn0111 жыл бұрын

    That's just because our sense of pitch is logarithmic rather than linear. An octave higher is always twice the frequency.

  • @RyanJensenEE
    @RyanJensenEE10 жыл бұрын

    That was a really cool way to visually and audibly demonstrate the harmonic series. kudos.

  • @curtpiazza1688
    @curtpiazza1688 Жыл бұрын

    Cool illustration! 😊 ❤

  • @garfrankwyn
    @garfrankwyn12 жыл бұрын

    I don't know what it is about the harmonic series that's so appealing, but you can find it everywhere. From blowing harder into a flute, to slightly muting guitar strings at various frets, to tuvan throat singing. There's a giant flute called the fujara that plays mostly overtones and sounds crazy. Nice to see it on an o-scope. Great vid. Great builds too, I've admired a lot of your inventions. You are definitely a guiding light in the diy synth field. You should write a book. I'd buy it.

  • @bjorn-jameshanrahan8183
    @bjorn-jameshanrahan8183 Жыл бұрын

    The numbers don’t lie.

  • @didjesbydan
    @didjesbydan12 жыл бұрын

    By mathematically modeling the interior dimensions (length and diameters) of a didge, with a genetic algorithm Dr. Geipel is able to "evolve" a set of dimensions that will result in a desired tuning. One of those possible tunings is to have all impedances/intrinsic resonances of a didge aligned with the harmonic series up to the twelfth or thirteenth partial. As a member of this project, I build these formulas into hardwood and play them.

  • @coma_flotante
    @coma_flotante3 жыл бұрын

    Mmmm sampleable

  • @snowman486cold

    @snowman486cold

    2 жыл бұрын

    LOL

  • @Khosenaton
    @Khosenaton11 жыл бұрын

    Beautiful

  • @darkcnotion
    @darkcnotion2 жыл бұрын

    Best demonstration ever

  • @frinpi7473
    @frinpi747311 ай бұрын

    i laughed at the last frame

  • @echodelta9
    @echodelta9 Жыл бұрын

    Just make a PVC flute like an organ pipe (no finger holes) with a rather long length relative to diameter. Blow into it and up the scale you go. I can get to mid double digit harmonics. Added bonus, covering the far end gives the half integer harmonics. Opening and closing gives smooth bend up or down from one state to the other. At this point it can wail the blues like a harmonica.

  • @THE_ONLY_GOD
    @THE_ONLY_GOD Жыл бұрын

    One of the sad parts about residing in various countries is not having a proper electronics lab (or a full MIDI keyboard). Had access to an analog scope for viewing osc music at a lab for a while and had some fun making "music" with the knobs on the function generator also...LOL. A nice function generator and a nice benchtop PS are great to have!

  • @usagispoon9455
    @usagispoon94559 жыл бұрын

    excellent

  • @garfrankwyn
    @garfrankwyn12 жыл бұрын

    Right on, I never really though about it like that. I think my comment was a little ambiguous in the first sentence. I love the sound of the harmonic series, and I love how it can be found everywhere. In fact my favorite circuit that I've made is a tunable bandpass filter (ala Forrest Mims) that can exploit all the different overtones of various instruments. Anyways, cool vid, I'm glad you took the time to make it. Cheers.

  • @ks3bigksudjoht180
    @ks3bigksudjoht1802 жыл бұрын

    Stop sawtoothing my wave.

  • @navakjahangiri5319
    @navakjahangiri53194 жыл бұрын

    TNX

  • @didjesbydan
    @didjesbydan12 жыл бұрын

    The didgeridoo is another instrument that is all about the harmonic series. Check out Dr. Frank Geipel's website for Computer Aided Didgeridoo Sound Design (CADSD) which talks all about it. Most of the playability and sound characteristics of a didgeridoo result from how the instrument's intrinsic resonance series aligns or misaligns with the harmonic series of the fundamental, or drone.

  • @adiosdaniel
    @adiosdaniel12 жыл бұрын

    Sounds a lot nicer ascending than descending... to me at least.

  • @androidiscool7437

    @androidiscool7437

    4 жыл бұрын

    It is a lot harder to hear the later iterations when it is descending, that is probably why it doesn't sound as good

  • @THE_ONLY_GOD
    @THE_ONLY_GOD Жыл бұрын

    Thanks! Can post that without the fundamental frequency?

  • @dr.dandyphd4968
    @dr.dandyphd49684 жыл бұрын

    Slowly into a saw wave

  • @brugelxencerf
    @brugelxencerf11 жыл бұрын

    It's interesting that lab equaipment "hears" the harmonic series as equally spaced, but that we hear it, as basically, the V7 chord, which has intervals of regularly decreasing size.

  • @nickvuci

    @nickvuci

    7 жыл бұрын

    Actually, all the intervals of the harmonic series are regularly decreasing in size, and the oscilloscope shows that clearly.

  • @samshaw1459
    @samshaw14595 жыл бұрын

    Does anyone know how much each of these intervals deviates from 12 tone equal tempered measured in cents?

  • @EA78751

    @EA78751

    5 жыл бұрын

    I've got a copy of "The EMI Wall Chart For Musical Instrument Making" which includes a table titled The Harmonic Series: Pitches of The Harmonic Series From 1 to 32. It has the deviation in cents for each overtone w.r.t. the fundamental in equal temperament. But the chart is probably out of print, hope this helps anyway...

  • @samshaw1459

    @samshaw1459

    5 жыл бұрын

    @@EA78751 could you please take a picture or send me the numbers for cent derivation?

  • @fffaccini

    @fffaccini

    4 жыл бұрын

    every single interval besides the octave is deviated to the equal tempered intervals

  • @postcookedb6939

    @postcookedb6939

    4 жыл бұрын

    Sometime between writing this and coming back to it, I found my answer. Chromatically, the lowest occuring approximations for each twelve tone interval are +5, +4, -2.1, -13.5, -29, -48.5, +2, +41, -6, -31, -11.5 with the octaves being plus or minus zero ofc

  • @didjesbydan
    @didjesbydan12 жыл бұрын

    See youtube vid: "Dan Flynn Computer Aided Didgeridoo Sound Design Indidjinus 2012" to hear a didge tuned to be compatible with middle eastern scales based on an octave plus one semitone first interval. I guess I can't list a URL in this comment to refer anyone to Dr. Geipel's site, but it is easy to find by Googling: CADSD

  • @Uncertaintycat
    @Uncertaintycat8 жыл бұрын

    this feels really weird on my skin when it is playing

  • @jamesmccoy8568
    @jamesmccoy85683 жыл бұрын

    Cray

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