Check out this web page I wrote to help a player visualize and follow along with the process explained in the video below. If you color code each chord you build, you’re left with a good study guide for practicing.
If you have a guitar, I hope you’ll take a few minutes and try out the page. Let me know if you find it useful or not.
A while back I found this video which shows how to harmonize a maj7 chord over the major scale.
This exercise can be done with any chord and any scale that chord belongs to. As the chord walks up the scale, its sound retains some familiarity yet it also has to squeeze and stretch along each degree in order to remain in key. A reason you would do this exercise is to find other chords to consider for a progression.