Balance in Three

Some of my favorite centering songs have 3 beats. What I mean is that their underlying pulse--akin to a heartbeat--is counted 1 - 2 - 3. This odd but centering rhythm has a swinging feeling and is used in ballads, meditations and waltzes alike. What happens when you listen for the 1 - 2 - 3 beat in these tunes:

​*This gospel classic and this grown-up ballad sung by the late and beloved Aretha Franklin *Kermit's colorful question from the Muppet Movie
*My favorite waltz and love song from Viennese operetta 
While you listen, if you like, find the pulse of each song. Once you can hear and tap along with the regular strong beats, try counting 1-2-3 over and over, along with the music. 
How does this feel?