Music Theory for the 21st-Century Classroom

In The Jazz Theory Book, author Mark Levine provides a method for harmonizing the bebop major scale ($\hat{1}$–$\hat{2}$–$\hat{3}$–$\hat{4}$–$\hat{5}$–$\widehat{♯5}$–$\hat{6}$–$\hat{7}$–$\hat{8}$) with four voices.

Try singing through each part—soprano, alto, tenor, then bass.

Notice that all of the non-tonic chords are ${\text{vii}}^{\circ }{}^7$ chords in various inversions.

One hears a similar approach to harmonizing a scale (though without the fully-diminished seventh chords as passing chords) in the following example.