I've always taken the view that, just as Jeff says, feedback of our sort is mainly an acoustic issue. You have the loop:- guitar -> pedals/effects -> preamp -> effects loop -> power amp -> speakers -> air volume -> guitar. The different stages through this sequence all add in their own time delays to the signal, mostly swamped by the speakers -> guitar area again just as Jeff says. This time delay is a major factor in the frequency of feedback but it isn't the sole effect. They also each impose their own frequency curve with unique peaks and troughs on the signal as it goes through so that when it comes back to the guitar it has been shaped to produce an overall curve which favours certain specific frequencies.
There is another effect which is not often mentioned, reflection from surfaces. Consider this setup. An open backed cabinet set a few feet in front of a brick back wall. The guitarist is standing in front of the amp with some space to play around with. The sound from the amp will travel forward to his guitar, taking up some time to do this, and the rear sound will travel backwards to the wall and bounce forwards again until once again it hits his guitar, taking more time to travel its path. Obviously the difference in the path length that they travel is "2 x distance from back wall". The rear radiation of a speaker is 180deg out of phase with the front so would normally cancel as we all know but if the delay in covering that distance is enough to bring the wall reflection close to being in phase with the front it will then add to it and increase the feedback effect, if it maintains it near 180deg out of phase it will prevent feedback.
Don't know about you but I usually find that I get feedback around G14 (A), that's 440Hz and it works out to a wavelength of about 2.6ft. That means that at distances where the front back difference is "1.3ft + a number of full wavelengths" the waves will add and increase acoustic feedback. That's 1.3ft, 3.9ft, 6.5ft, 9.1ft, 11.7ft etc. Try this experiment. The next time you are in a position to create feedback, (maybe home doesn't allow that much volume), set your amp up a few feet in front of a solid reflective wall, that's brick or plaster or glass rather than curtained. Set yourself in front of your amp and generate just the right amount of gain to achieve feedback on any note that occurs and note your distance from the amp. Now move in a semicircle in front of your amp keeping the distance from it the same. If it's only the front direct radiation that counts then it should feedback at any point on that path, allowing for the fact that the volume drops off a little as you go off axis. As you move round the semicircle the front wave stays the same distance from your guitar but the rear reflected wave changes. This means that, at that frequency
, it is going out of phase and will cancel out rather than strengthen. In a corner, a few feet from the back wall and a different distance from the side wall, it gets even more complex, and glass windows say will improve things again. My bet is that, if you have the guitar just on the verge of feedback you will find points on the path where it will feedback and points where it won't, and that's those other room reflections coming in to play.
Like others I have watched the Gods move to specific points on the stage for certain notes. They aren't just moving to a distance from their sound source, that's a very rough first approximation, they are moving to specific points where all of the sources, including the multitude of reflections, add up to the amount needed to feedback. The whole environment has a focusing effect and produces points where there is a genuine sharp peak in sound pressure. And it's different for all frequencies as they all have different wavelengths and the path differences have a different effect. We usually consider the front radiation to be the creator of feedback but in the real world it isn't. It's a combination of all of the reflected soundwaves, major and minor.
And there is another thing to think about. The loading on your guitar is a crucial factor in tone that I have bleated on about before. The most basic factor affecting the tone of a guitar is its fundamental electrical resonance. No amount of "good wood" or high quality fittings can make up for a guitar with the wrong resonant frequency. This electrical resonance is set by one factor and one factor alone, (remember it's electrical), and that is the resonant circuit set up by the pickup inductance and the load capacitance. High load capacitance does not "bleed off treble"! It shifts the resonant frequency down. Too far down gives the muddy sound which is often cited, too high up gives the guitar a shrill and thin quality. Higher inductance pickups need to be matched with higher load capacitance to sound good. Resistance of a pickup is the most useless measurement to quote, it gives absolutely no hint as to how the pickup will sound in use.
I know this because my own LP suffered from it when I started to use my active buffered cables. It needed the capacitance at the input of the head amp increased to compensate for the now 12" cable to the head amp. Once that was addressed it became much sweeter and beefier. Load resistance (note that is specifically resistance) of the combined guitar controls and the amp input then dictates how large the resonant peak will be but it doesn't affect its frequency at all. Now all of this will also have consequences for our feedback because the pickups are already leaning towards a specific frequency with a peak in their output, and higher signal output at a certain frequency will make that frequency more susceptible to feedback.
EDIT: Whoops, idiot alert! When I said "Higher inductance pickups need to be matched with higher load capacitance to sound good." I really meant that the other way around.
- Code:
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Fres = 1 / ( 2 x Π x √(L x C) )
If L goes up C must COME DOWN to keep the same centre frequency.