1. Identify the key of the original piece of music. Let's assume the original piece is written in the key of E♭ major.
2. Determine the transposition interval. To transpose from E♭ major to C major, you need to move down a major third interval (E♭ to C is a major third).
3. Apply the transposition to the written music. For each note in the original piece, move down by one major third interval to find the corresponding note in the key of C major.
4. Adjust accidentals as necessary. When transposing, some notes may require accidentals to maintain the proper key. Double-check accidentals to ensure that the music is accurate and playable.
By following these steps, you can transpose a piece of music written for a French horn in E♭ to the key that a piano plays in (usually C major) while preserving its musical integrity and playability.