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i posted a tweet asking about why TRS balanced audio jacks can accept TS unbalanced plugs and have it “just work”, but i had to delete it because i immediately found out why:

TS plug -> TRS jack
(mono signal) T -> T (complement 1)
(ground) S -> R (complement 2)
(ground) S -> S

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oh and to explain what balanced audio is: on professional audio equipment, you often use a TRS “stereo” jack to carry a “mono” signal as a differential pair. i'm calling the two signals in the pair the “complements”. it is like:

T = original signal
R = inverted signal or 0
S = 0

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i'm getting a real kick out of finally understanding this. it seems like this complicated topic and then like… no, it is ridiculously simple and intuitive. it's a very, very simple technology that works super well. the world is so cool

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in the balanced audio case btw the equation

output = complement₁ - complement₂

becomes

output = original - -original
output = original + original
output = 2 × original

and indeed, that's how balanced audio systems behave, the signal level is doubled :3

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oh and to round it off: why do they do this “balancing” thing? because any noise the cable picks up is assumed to have the same polarity in both copies of the signal, but you've inverted one of your copies, so when you invert it back (subtract it), it should cancel the noise :3

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