A Jónsson cardinal κ below ℵ_κ yields 0¶ (the sharp for a strong cardinal), and mutual stationarity with mixed recurring cofinalities yields many high-Mitchell-order cardinals in the core model.
Large cardinals and definable counterexamples to the continuum hypothesis
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Lower consistency bounds for mutual stationarity with divergent cofinalities and limited covering
A Jónsson cardinal κ below ℵ_κ yields 0¶ (the sharp for a strong cardinal), and mutual stationarity with mixed recurring cofinalities yields many high-Mitchell-order cardinals in the core model.