Not that I am aware of...but modal harmony has a distinct sound. As I remember it was the ancient Greeks who came up with the concept. Each mode had a distinct feeling to it. Alexander the Great was said to listen to Dorian mode before going into battle because it was thought to represent power. Each mode can function as tonic or tunes can be written that exist solely from the mode itself instead of just a passing scale in a major key.
I learned the melodic and harmonic modes in jazz fundamentals I don't remember those being mentioned in theory class and there are different schools of thought on this. I do remember being confused as heck about the whole concept at first.
Thanks dc.

Unraveling it all, and going backward in time, here's what I've learned so far:
1. There are different schools of thought, and ideas like "mode of a harmonic minor scale" are primarily in the jazz world. I took a course given by vibraphonist Gary Burton last year - he spoke of an immense number of scale types, and then isolated about 10 as the most prevalent. At this point there were things like "Lydian b7". I discussed this with my main teacher, who had a different take on it. That's too long and complicated to write out. We have two premises out there: a) modes are purely restricted to the order of intervals defined by Ionian / Aeolean b) the expanded versions such as "Lydian b7", or modes of a type of scale such as of melodic minor.
2. Going backward in time - We have the "church modes" that you wrote about, which I think come about in early Western music and into the very beginnings of the Renaissance. The idea of chords, and chordal harmony did not exist. There were individual "melodies" of one voice, but even that was along lines foreign to our ears. Polyphony came in gradually, but still along lines that are foreign to us. Then by the Renaissance we do get chords and such - The Dorian is prevalent. You'll hear two versions of Scarborough Fair which goes back to that period, a more modern version sharping the 7th - but without that it has a "period" kind of sound.
3. The Greeks - It seems we often get taught a very simplified and thus distorted view of it. Here too there are no chords, chordal harmonies, chords to create mood and colour. But they were not like the church modes. You had four notes - a tetrachord - two outer notes that formed a P4 - two inner notes - and one version contained quarter tones. The way those two tetrachords were chained together formed the octave as well as the mood. There were also different little rhythm packets which were to reflect / affect mood, emotion, a person's character. When you start discovering
Indian raga - this is where you get into the mentality of the ancient Greek modes.

My feeling is that modes are used in particular ways in jazz, and there is an interplay with harmony. The harmony itself breaks free from the rigid Baroque era type of I IV V I - depending on where you are in jazz (I've barely dipped my toes into this). But "classical" music itself gets experimental and breaks free. Unfortunately the way theory tends to be taught, it tends to stay in a simplified version of Common Practice era music, and wants to hammer round pegs into new shapes, to fit the square holes.
I suspect that when Beethoven writes a G minor melodic scale twice, once going from G to G over a Gm scale, and then going from Bb to Bb over a Gm/Bb scale (going from memory), that this is
not modal, because there is more to modes than just switching what degree you start on. But I'm not sure.