Producer/Engineer here…
3 main ways for remix source parts:
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Official source
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Studio Trickeration
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Leaks
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As a mix engineer When you deliver product to the label (or the artist or mastering engineer, depending on the job) you generate a number of mixes for delivery…how many and which type vary by artist and label. The common ones are: mix master, vox up, vox down, radio mix, club mix, and stems mix. Sometimes you will also see drums up/down or no fX mixes.
Master mix: the main product
Vox up: vocals up 1-2 dB
Vox up: ditto but opposite
Radio mix: sometimes shortened; profanity muted or masked with a 1 kHz tone, q checked for extra mono compatibility and for quality post radio limiting.
Club mix: boosted bass/kick elements…often w/ addt’l LFE or subbass tones, mixed for impact and low-mid frequency response enhancement .
Stems: you often mix to ‘stems’ and are often asked to deliver them as well, especially when passing right off to an ME. Stems are submixes…drums, vox, synths, gtrs, pads, etc…routed together for ease of mixing and the ability to apply fX…especially compression and bus equalization. Sometimes stems are printed to tape to get that nice analog tape compression/saturation and then mixed through analo console back into the DAW (editing software)
So theres a lot out there to be leaked or released…and with studio tricks you can often isolate parts easily with multiple versions…usually a combinations of phase/polarity inversion coupled with filter/eq limiting and some dynamic processors.
You can also recreate a lot of parts pretty easily…synths, drums, fX, guitars, bass. In a remix, the broad strokes of the part need to be right but the overdubs and new additions mask things enough that it sounds the same to Joe YouTuber.
Vocals are different, but are almost always panned dead center. Import the song, split the stereo file to double mono, flip phase on one side. Most panned sounds disappear or fade way back…except for those dead center. Double mono allows a lot of the time fX to stay in place…verbs/delays…which contribute a lot to the timbre of the performance as released.
Layer your new parts over, using the existing ghost parts as guides/ref points.
Easy as Pie!
Also, some artists/labels offer stems/tracks for mixing/remixing…Peter Gabriel and his label offer a ton of tunes by him and other artists on the label.
Many artists release acappellas (treated or untreated vocal stems) specificaly for remixes,esp. in Urban/Hiphop.
Last…sites like ccMixter offer remix sources , both beats/pads and such, plus homemade acappellas and some official releases.
Generating acapellas is legal and while an art, not some arcane magic…it’s legal to trade and share as they are considered legitimate derivative works for the most part, it’s only commercial release without licensing the source that gets you in the hot water of IP rights…