Here's a breakdown of some possibilities:
1. Hornfels: This is a common metamorphic rock formed by contact metamorphism, where heat from an intrusion of magma or lava bakes the surrounding rocks. Hornfels can be very hard and dense, with a fine-grained texture.
2. Marble: If the shale contains significant amounts of calcium carbonate (limestone), it can transform into marble. The basalt would likely be incorporated into the marble as dark veins or inclusions.
3. Skarn: Skarn is a complex metamorphic rock that forms when limestone or dolostone reacts with an igneous intrusion. Basalt, being rich in magnesium and iron, can contribute to skarn formation.
4. Amphibolite: If the shale and basalt are subjected to high temperatures and pressures, they can transform into amphibolite. This rock is typically dark green to black and contains amphiboles and plagioclase feldspar.
5. Other Possibilities: Depending on the exact conditions, other metamorphic rocks like eclogite or gneiss could form.
Important Note: It's crucial to remember that the resulting metamorphic rock will also depend on the exact chemical composition of the shale and basalt.
Therefore, it's impossible to give a definitive answer without more information about the specific conditions of the transformation.