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F major transposed down a major second becomes E major. In terms of notes, the F major scale consists of F, G, A, B♭, C, D, and E. When you transpose it down a major second, you shift each note down by two half steps, resulting in the E major scale: E, F♯, G♯, A, B, C♯, and D♯.

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The first place to check is IMSLP.org