Maybe a mathematician can conjure up that they are equivalent
FWIW, that mathematician was Jean Baptist Fourier. Fundamental work WRT things audio, way back in the early 1800s.

The Fourier Transform shows that with the right combination of sine and cosine waves (the latter are like sine waves but start at the peak rather than zero) of various frequencies, any sound can be made, including room ambiance, percussion, etc.

Without it digital audio wouldn't be a thing.
 
FWIW, that mathematician was Jean Baptist Fourier. Fundamental work WRT things audio, way back in the early 1800s.

The Fourier Transform shows that with the right combination of sine and cosine waves (the latter are like sine waves but start at the peak rather than zero) of various frequencies, any sound can be made, including room ambiance, percussion, etc.

Without it digital audio wouldn't be a thing.
Yeah…. and Cooley and Tuckey created the FFT.

Thinking of tuned length resonant pipes, or oscillating strings seems like a natural place for sine waves live.

But as was pointed out, impulses and transients also are considered as being part of music.
… The point I was making with the Rossini piece is that in a large scale music is really a series of impulses (transients). Unless precisely aligned, the multiple drivers that make up a stereo system muddy and confuse the sound. This includes subwoofers.

Those sine waves need to be coherent for the system to sound good, and the phase cannot be random… otherwise the timing gets shot to hell and back.
Impulses are generally where most of the instantaneous power needs to be able to be delivered.
The rest is just filler between the attacks.
 
FWIW, that mathematician was Jean Baptist Fourier. Fundamental work WRT things audio, way back in the early 1800s.

In fact the Fourier Series were developed by Jean Baptist Fourier to study heat flow problems. The Fourier transform was developed in the mid 50's by other mathematicians, extending the scope of application of the original work. It is the fundamental part of audio research.

The Fourier Transform shows that with the right combination of sine and cosine waves (the latter are like sine waves but start at the peak rather than zero) of various frequencies, any sound can be made, including room ambiance, percussion, etc.

Without it digital audio wouldn't be a thing.
 
Yeah…. and Cooley and Tuckey created the FFT.

Yes, it is an efficient tool to compute discrete the Fourier transform. Not related to what I was addressing.

Thinking of tuned length resonant pipes, or oscillating strings seems like a natural place for sine waves live.

Yes.
But as was pointed out, impulses and transients also are considered as being part of music.

And also seem like a natural place for sine waves live.

Those sine waves need to be coherent for the system to sound good, and the phase cannot be random… otherwise the timing gets shot to hell and back.

Yes, the mathematical sine waves have a defined phase. But once we enter real sound reproduction psycho acoustics can blur our perfect mathematical findings.

Impulses are generally where most of the instantaneous power needs to be able to be delivered.

Look at an audio spectrometer when the end of the 5th of symphony of Shostakovitch is being played ... "Continuous instantaneous power "

The rest is just filler between the attacks.

It depends on the music we usually listen.
 
….
Yes, the mathematical sine waves have a defined phase. But once we enter real sound reproduction psycho acoustics can blur our perfect mathematical findings.
I was more addressing @sbnx talk about multiple drivers muddying up, and confusing the sound.
And (time/phase) alignment.

But there is also usually a crossover in the speaker, which can be responsible for a lot of the “confusion”… and also can have a major impact on the transient response and the decay.

Anything good or bad coming into the speaker cables, and all the beauty of the math that went into the mix and any front end gear, can be altered by the XO/speaker.
 
In fact the Fourier Series were developed by Jean Baptist Fourier to study heat flow problems. The Fourier transform was developed in the mid 50's by other mathematicians, extending the scope of application of the original work. It is the fundamental part of audio research.
I as thinking of mentioning the rings, but in my mind… it sounded like something out of “Lord of the Rings”.
 
IMG_6215.jpeg
 
Do they do it in Pink ?


I suppose the Brits have a history with 30s/40s symbolism.
Even some world leader seem to have been yearning for Chamberlain style approaches lately.
 
Hey Ron,

Is your hifi going inverted magnetic.. lol :D ?
I don't know. I experience anomalous and unexplainable phenomena.
 
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ric I don't know. I experience anomalous and unexplainable phenomena.
well....er......if your hifi space is open to the whole house, and not at all symmetric even, it's never going to really acoustically behave. it has a mind of it's own. a lifestyle choice. and it's apparently a pretty awesome lifestyle. so stop complaining. :rolleyes: we all might love to choose it. you might have your priorities just right already.
 
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well....er......if your hifi space is open to the whole house, and not at all symmetric even, it's never going to really acoustically behave. it has a mind of it's own. a lifestyle choice. and it's apparently a pretty awesome lifestyle. so stop complaining. :rolleyes: we all might love to choose it. you might have your priorities just right already.
Thank you for your comment, Mike.

Whatever is the acoustic result of the room, yes, it is what it is. But that acoustic situation should remain constant, whatever it is.

That doesn't explain the sound of the stereo changing materially with no change in components, and other anomalous and inexplicable phenomena, such as the mysterious loud thumping coming out of the speaker that I experienced a couple of months ago, like a poltergeist was trapped therein.

It reminds me of Eddie Murphy's classic bit in Delirious (1983) (slightly modified):

Audiophiles always stay in the house when there’s a ghost in the listening room. If a regular person had a haunted listening room and heard a voice say "Get out!" he'd say "Okay! Pack up, let’s go!"
 
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Thank you for your comment, Mike.

Whatever is the acoustic result of the room, yes, it is what it is. But that acoustic situation should remain constant, whatever it is.
no, it's won't. your extended acoustic space will react unpredictably to various dynamic loading circumstances. it will not load in a linear fashion. you could have pressure bleeding off and on as the music pressure changes dynamically.
That doesn't explain the sound of the stereo changing materially with no change in components, and other anomalous and inexplicable phenomena, such as the mysterious loud thumping coming out of the speaker that I experienced a couple of months ago, like a poltergeist was trapped therein.
impossible to comment about that specifically. could be the neighbors for all i know.

does it happen equally at all SPL levels? might it be subsonic? you could possibly be triggering a building resonance. not impossible.

the thumping could be a loose connection somewhere, too. bad solder joint. something overheating. or electric grid related. a surge. or a crossover piece going bad.
 
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That doesn't explain the sound of the stereo changing materially with no change in components, and other anomalous and inexplicable phenomena, such as the mysterious loud thumping coming out of the speaker that I experienced a couple of months ago, like a poltergeist was trapped therein.
We often take for granted that the power and earth/ground conditions are identical. My systems always sounded better in the late evening when Berlin was sleeping. It was not the background noise of the town but electric noise. On holidays it was great during the day, too.

Also the power factor could change drastically, I have seen that and the resulting chaos. Maybe you have a faulty component in your household or your neighbourhood. And maybe it’s poltergeist after all.
 
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Thank you for your comment, Mike.

Whatever is the acoustic result of the room, yes, it is what it is. But that acoustic situation should remain constant, whatever it is.

That doesn't explain the sound of the stereo changing materially with no change in components, and other anomalous and inexplicable phenomena, such as the mysterious loud thumping coming out of the speaker that I experienced a couple of months ago, like a poltergeist was trapped therein.

It reminds me of Eddie Murphy's classic bit in Delirious (1983) (slightly modified):

Audiophiles always stay in the house when there’s a ghost in the listening room. If a regular person had a haunted listening room and heard a voice say "Get out!" he'd say "Okay! Pack up, let’s go!"
Power issues?
 
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We often take for granted that the power and earth/ground conditions are identical. My systems always sounded better in the late evening when Berlin was sleeping. It was not the background noise of the town but electric noise. On holidays it was great during the day, too.

In such case we should try to diagnose it and try reproducing such conditions for every moment listening. A good friend of mine claimed late evening sound every time after he got a good re-generator FIY he lived in a separate house in an industrial zone, close to a few factories.

Also the power factor could change drastically, I have seen that and the resulting chaos. Maybe you have a faulty component in your household or your neighbourhood. And maybe it’s poltergeist after all.
 
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Thank you for your comment, Mike.

Whatever is the acoustic result of the room, yes, it is what it is. But that acoustic situation should remain constant, whatever it is.

That doesn't explain the sound of the stereo changing materially with no change in components, and other anomalous and inexplicable phenomena, such as the mysterious loud thumping coming out of the speaker that I experienced a couple of months ago, like a poltergeist was trapped therein.

It reminds me of Eddie Murphy's classic bit in Delirious (1983) (slightly modified):

Audiophiles always stay in the house when there’s a ghost in the listening room. If a regular person had a haunted listening room and heard a voice say "Get out!" he'd say "Okay! Pack up, let’s go!"

Instability of stereo systems is a very interesting subject. High end stereo can be an intrinsically unstable entity - we must remember that changing a signal IC, something that does not result in easily measurable objective difference, such as common audio null test, can ruin a system.

But there are theoretical reasons for such behavior - stereo is an weak and flawed standard. Trying to raise its performance above its capabilities in specific areas can weaken others. I must say I praise a system that is highly stable, accepting that perhaps I am not extracting the ultimatum drop of its possible preference in some areas.

Top stereo is managing compromises - the first one is not fighting with the room. It is why I have sold some beloved gear every time I changed house.
BTW, for many years top quality acoustic treatments in the front wall saved my audiophile life, although I had read that David Wilson suggested against them!
 
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So sorry you lost your system to the Bermuda Triangle. Just hope it doesn't show up in a different timeline with Julian Hirsch. It must have been the solar flares.

OC disorder and audio gremlins do not mix well in a perpetual waltz of tuning and detuning, both mental and in physical or electronic conditions. Best not to panic over the gremlins and biorhythms. Just enjoy the gift when the chakras synchronize.
 
So sorry you lost your system to the Bermuda Triangle. Just hope it doesn't show up in a different timeline with Julian Hirsch. It must have been the solar flares.

OC disorder and audio gremlins do not mix well in a perpetual waltz of tuning and detuning, both mental and in physical or electronic conditions. Best not to panic over the gremlins and biorhythms. Just enjoy the gift when the chakras synchronize.
Those solar flares were messing with my heart…no joke!
 

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