Next-gen Xbox may feature 10-core AMD Zen 6 chip, leaked die shot suggests

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By not removing half of the L3 cache then you don't really have Zen 6C, it's just a downclocked Zen 6 which is slightly denser.

~I would not say pure Zen 6c CPU for gaming is "modern"~ I'm assuming that by "modern" gaming you mean ultra high FPS on an high end PC. As long as TVs are capped at 120/144Hz, you don't need the high clock speeds of the full Zen 6 core. The fixed hardware and close to the metal APIs should in theory make up the gap with higher end desktop CPUs for 4K gaming.

Because it's semi-custom, L3 caches can be adjusted. Less or more cache, some or more shared or not. So Zen 6 cores too may have less cache than "normal" Zen 6 core.

For single thread performance Zen 6c is somewhat weak. For situation where single thread limits, Zen 6 is much better than Zen 6c. Also very likely MS and Sony are making SOCs partially together again, both will probably include Zen 6 cores. For PC ports, adding Zen 6 also makes sense since there are very few gaming PCs with poor single thread CPU.