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A foundational paradox in cultural markets is that producers face a relentless demand for innovation, yet audiences and critics often punish products that stray from established categories. These tensions combined, increase uncertainty in cultural markets. How, then, do successful innovators reconcile these opposing pressures? While existing literature often focuses on producer-level or structural factors like status, network position, or market composition, we argue for a crucial, product-level strategy we term complementary anchoring. We theorize that by conforming to audience expectations in one dimension (e.g., sonic familiarity), a multi-dimensional cultural product can provide a cognitive “anchor” that legitimizes novelty in another dimension (e.g., lyrical novelty). We test this theory using a dataset of nearly two million songs, disaggregating musical typicality into sonic and semantic dimensions. Drawing on dual-process theories of cognition, we find that these dimensions follow opposing logics of appreciation: sonic typicality has an inverted U-shaped relationship with success, while semantic typicality has a U-shaped relationship. Most importantly, we find a significant negative interaction between these dimensions, especially for genre-blending “hybrid” songs, which confirms that they act as substitutes to balance novelty and familiarity. We conclude by offering several directions for future research.