so the diatonic modes just [reflect the functions] of [the scale degrees] > [triads]?
3 major modes
Ionian
Lydian
Mixolydian
3 minor modes
Dorian
Phrygian
Aeolian
1 diminished mode
Locrian
?
and pentatonic scale for major minor respectively/relatively; due to math of common omitted notes...
sans diminished?
*insert preemptive gratitude for replies; here*
Yes, that's one way to look at it. You can also view them as all just different sequences of the major (or minor) diatonic scales. Which way you choose to visualize or conceptualize them depends on what you are trying to accomplish musically.
I often use the pentatonic scales as handy visual guides (less clutter!) & then insert diatonic notes as needed depending on what I'm playing & what sounds I want.
I cover the modes of the major scale here.
https://www.guitartricks.com/tutorial/370/
Isolate the major modes here.
https://www.guitartricks.com/tutorial/770/
The minor modes here.
https://www.guitartricks.com/tutorial/2630/
And the pentatonic scales here. This tutorial includes a couple of lessons on using them as visual guides or shortcuts to seeing all the diatonic notes & modes.
https://www.guitartricks.com/tutorial/296/
Hope that helps!