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Does modulation mean that a certain piece of music is sung in the same part and the same range?

No.

Using a certain segment of the melody as a prototype and repeating it at different pitches is called "modulation". It can make the melody produce new patterns while maintaining the unity of the tone. Changes and adding new colors can further develop musical ideas compared with complete repetition. However, in song creation, due to the limitations of space and range, it should not be used too much. If misused, the music will be dull and impoverished.

Strict die-in is to repeat the die-in prototype at another level intact, except that the pitch is different, and the interval relationship and rhythm are completely consistent. In song creation, the second, third, and fourth and fifth degree progressions are commonly used. During modulo progression, major and minor intervals can be used universally.