Metronomes started randomly synchronize after a short period of time as they influence each other through the side-to-side motion of their shared base.

Source: UCLA Physics & Astronomy
https://demoweb.physics.ucla.edu/content/160-spontaneous-synchronization

160. Spontaneous Synchronization | UCLA Physics & Astronomy

@wonderofscience What happens if half the metronomes are one frequency and half are another?

@waterluvian @wonderofscience

That was my thought, let’s set them to different speeds; that’s the experiment I want to do now. There should still be some synchronization, but would depend on the frequency ratios, … I’m ready to geek out and try them all.
Any have a few metronomes they can loan me?

@DavidM_yeg @wonderofscience I feel like the outcome will be some function of the frequencies. And the count of metronomes will be an amplitude modulator of each frequency.

Maybe there’s some wild Fourier thing to this as well, in terms of combining frequencies.

@DavidM_yeg @waterluvian @wonderofscience I haven’t seen one that wasn’t electronic is a decade. I prefer the old ones, too.

@waterluvian @wonderofscience

No metronome shares the same frequency of another to begin with. Because perfect manufacturing tolerances don't exist, even 2 made for "the same frequency" are out of alignment.

Putting *any* metronomes on a shared base like this will cause them to eventually sync up.

@atatassault @wonderofscience The metronomes need to be set to the same frequency for that to happen. If they’re set to the same frequency then their phase will tend to align.

@waterluvian @atatassault @wonderofscience

In order for the phases to sync, the metronomes must temporarily swing at slightly different frequencies, even if they are tuned to the same frequency.

Thus, even if they are tuned to slightly different frequencies, they will eventually get in sync, at a common mean frequency, by the same physics.

@JorgeStolfi @atatassault @wonderofscience Ohh I’m seeing that in my head now. That a metronome set at 30bpm will eventually be made to tick at just under 100bpm if on a rolling table with 100 other metronomes at 100bpm.

@waterluvian @atatassault @wonderofscience

The key word is "slightly".

In your experiment, the 30 bpm metronome either will keep beating at ~30 bpm, but with slightly irregular period (the irregularities themselves roughly repeating at ~10 bpm); or it will eventually swing at 100 bpm too, but with a VERY small amplitude.

@wonderofscience The Veritasium made a good video about this topic of synchronization. https://www.youtube.com/watch?v=t-_VPRCtiUg
The Surprising Secret of Synchronization

YouTube
@wonderofscience slightly unrelated, does anyone knows which metronome is the one on this video? I have been looking for a clean looking one, and I really like this one.

@david @wonderofscience
Wittner Taktell Super-Mini Series 880 in ruby red

Still had one on my Amazon wishlist, but couldn't justify the expense because apps have been good enough for me so far.

@alleycat @wonderofscience oh, so nice! Could you share the Amazon link, please? I searched on the US store, couldn’t find any. I would happily return that one I linked (which will deliver today), and order this one instead!

I know apps are, perhaps, better, and extensible. I love that mechanical sound, and physical feeling, though. 🙈

@david @wonderofscience

I'm in Germany, so a link is probably of no use.

@david @wonderofscience

Based on the W tuning fork logo I think it’s a Wittner Taktell Super-mini, a German model
still in production.

@wonderofscience #1 is drunk white guy me trying to keep rhythm
@wonderofscience Does anyone know if sets of double pendula show similar entrainment effects?
@wonderofscience Also known as trying to get rookie middle school band kids to sync on the beat.
@wonderofscience Spooky witchcraft. (Not that I’m opposed!)
@wonderofscience Why am I attributing personalities to them? My favorites are the one on the left - always the last to get the memo - and the next to last on the right - such enthusiasm!
@wonderofscience cool! Now do a dorm full of women, their hormonal cycles, and the moon?
@wonderofscience that's cool and all, but it gets way cooler when you realise that a little 'drive' on the base oscillation means that you can synchronise metronomes placed on it, and that's how really big buildings can be made to stay stable in earthquake zones.

@wonderofscience Especially when they are on a surface that is supported by rollers… 🥴

#befair

@wonderofscience Smart part of my brain: What an amazing scientific fact!

Dumb part of my brain: Those are haunted, GHOSTS!

Poème symphonique - Wikipedia

@wonderofscience This can be a problem for crystal oscillators on PCBs too.
@spyro @wonderofscience A problem synchronising when they shouldn’t?
@wonderofscience The physics of fascism 💩
If any metronome were at an unrelated frequency, then I think it would have to be knocked off for the whole thing to work.
@wonderofscience
There was a Mythbusters episode playing with how this works.
https://m.youtube.com/watch?v=e-c6S6SdkPo
N-Sync | MythBusters

YouTube

@wonderofscience I once read that something similar happens in pianos. The higher notes are double or triple stringed, and each string in the set is slightly detuned. The interactions via the shared sounding plate causes the note to persist longer than it otherwise would.

https://www.whyyouhearwhatyouhear.com/subpages/chapter19.html

Chapter 19