Pitch Change of tone of 440Hz by changing the intensity

 At your risk. Please keep volume down to protect your ears especially if using headphones.

By comparing soft volume to higher volume, the higher volume sounds to me lower in pitch.

As loudness tends to zero pitch becomes maximum.

How about you?

The fact that i hear a lower pitch makes me sing along a note of lower pitch. 

This (even if it is a small difference) is important because it makes a singing note sound really bad and out of context with the music or backing track. For example annoying beats could be created.

Listening carefully to good singers, the very good world class ones, it can be heard that they too begin almost any note flat (below correct pitch) but then raise the pitch while the note sustains until it sounds correct. I tried this trick and my singing is so much better and enjoyable. I try to correct almost every note.