24 bit is now common, available on cheap gear. 24 bits is good for audio treatments, like de-noising.So, if you had such a maximally optimized tape you wanted to digitize, and you wanted a bit of headroom to ensure you capture everything on the tape, you’d need, say 18 or maybe 24 bit transfer?
I don't think it works that way. If you sum identical signals the noise goes up by 3 db and signal goes up by 6 db which is a net gain of 3 db each time you double the signals. If you are combining or summing two tracks with different signals, the noise goes up by 3 db. The signal doesn't go up at all. So you increase noise 3 db each time you double the tracks being mixed together. So combining 16 tracks would raise the noise 12 db loosing you 2 bits of dynamic range.What people forget is that there might be 13-14 bits of analog THD+N on tape... but there were 16-24 channels (2" tape) to mix into final two channels.
That raises the dynamic available and lowers the probabilistic noise.
This way modern re-mixes of analog 24 ch into digital stereo domain could have close to 16 bit of actual information. Now, the actual music will never go that wide dynamic range, but the noise and distortion from the multichannel analog tape will be in-audible low.
Still doesn't work. You can lower the level by 3 db lowering noise, but you also lowered signal. Then mixing different signals the signal level is the same and noise goes up. You don't gain any dynamic range this way, you loose it. You cannot add noise and have a lower noise level. Plus the medium you are recording to provides the limit on what you can achieve. The final two channel mix isn't going to have additional dynamic range or lowered noise levels beyond what the tape medium can provide.The signal on each track is mixed down into stereo, to fit into the same max signal envelope. So, the level of EACH track gets lowered, including it's noise and THD.
Sure, some tracks will have more contribution to the final mix, but none will be at 100%.
Also, for some sources, the thd noise it really doesn't matter - electric guitar, bass guitar, drums...
A lot of people don't realize that the same thing happens with digital. When you mix the resolution increases! But you don't get the generation losses.What people forget is that there might be 13-14 bits of analog THD+N on tape... but there were 16-24 channels (2" tape) to mix into final two channels.
That raises the dynamic available and lowers the probabilistic noise.
If mixing signals dosnt increase the level you could add overdubs to your mix, or explosions, forever without changing the level. Dosnt happen. Mixing signals adds the voltages. Simple math. Don't know how adding 2 music tracks together dosnt increase the voltage/signal.Still doesn't work. You can lower the level by 3 db lowering noise, but you also lowered signal. Then mixing different signals the signal level is the same and noise goes up. You don't gain any dynamic range this way, you loose it. You cannot add noise and have a lower noise level. Plus the medium you are recording to provides the limit on what you can achieve. The final two channel mix isn't going to have additional dynamic range or lowered noise levels beyond what the tape medium can provide.
If the device used for summing has a much lower noise floor than the medium which in the case of tape it will, you can mitigate the increase in noise with mixing multiple tape tracks, but you cannot increase beyond what the medium is capable of doing. Your final two channel mix can be no more dynamic range than tape is and most likely will be lower.
Not all tracks are active all the time in a mixdown situation. Tracks with audio at only a particular verse or chorus are usually muted until needed. Like noted above not all tracks are near full volume at any point. I once watched a movie being mixed down and I was told there were over 200 tracks but the noise was inaudible because the tracks were used selectively and when a lot of them were used it was very loud anyway so the noise was buried.Still doesn't work. You can lower the level by 3 db lowering noise, but you also lowered signal. Then mixing different signals the signal level is the same and noise goes up. You don't gain any dynamic range this way, you loose it. You cannot add noise and have a lower noise level. Plus the medium you are recording to provides the limit on what you can achieve. The final two channel mix isn't going to have additional dynamic range or lowered noise levels beyond what the tape medium can provide.
If the device used for summing has a much lower noise floor than the medium which in the case of tape it will, you can mitigate the increase in noise with mixing multiple tape tracks, but you cannot increase beyond what the medium is capable of doing. Your final two channel mix can be no more dynamic range than tape is and most likely will be lower.