A compact complex manifold with trivial H^1 is strongly formal if and only if it is (n-1)-strongly formal.
Huybrechts,Complex Geometry:An Introduction, Universitext, Springer Berlin Heidelberg, 2005
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Strong formality below middle degree implies strong formality
A compact complex manifold with trivial H^1 is strongly formal if and only if it is (n-1)-strongly formal.