If you have to master your music, one of the most common goals for most people is often to address RMS loudness levels and LUFS meter readings. Hence, in simple terms, you should perhaps consider mastering your song to an integrated LUFS metering reading and not give significant priority to short-term RMS Levels.

N.B., By the way, LUFS means Loudness Units Full Scale and reflects how our human ears perceive loudness. While on the other hand, RMS levels take primarily into account the energy levels (voltage) in the program material.

Nevertheless, without getting too technical, you should perhaps know that an average reading of -8 dB RMS is somewhat likely to land you at around an integrated level of -9 LUFS or even -10 LUFS depending on the overall brightness or the tone of the song. Always remember this is subject to the audio material you are working on, and based on whether the music has either heavy bass content (i.e., 150 Hz going down), continuous loud periods, or if the music composition is arranged to include long breakdown sections.
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