Chord [function] > [type]..?

this - like most of my questions - is to give my mind {linear point of reference; for other wise

concepts common in the music community > vernacular}

as much as possible I want to think in common-music theory vernacular

that said

it occurred to me to make notes of songs for my self 

as [chord function {ie. I, IV, vi, V; or whatever}] > {["type..?]"}

what I mean by "type" 

is major? Maj7? Dominant?... 

right: because the chord [type] is about vibe in context of chord function..?

so my question is:

is the difference in scale degrees beyond the triad called "chord type"?

IF no

THEN what?

I wouldn't think it's voicing, because i can do different voicings of the same chord [type]

plez and thank you

This tutorial on the basics of music theory will answer most of your questions.

Music Theory: a Brief Overview
https://www.guitartricks.com/tutorial/495/

Directly responding:

"what I mean by "type" is major? Maj7? Dominant?... right: because the chord [type] is about vibe in context of chord function..?

Chord quality is the commonly used term (major, minor, dominant, suspended).  Function is about how it's used in relation to the other chords in the progression (tonic, intermediate, subdominant, dominant, secondary dominant).  I think dominant is the only term that is used for both, but its origin is function.  The origin of function is largely due to the voice motion of the notes from chord to chord in a progression.

Voicing is about the specific notes being used, their order (high to low) & spacing (interval distances).

Hope that helps!

"quality" 

ok; so 

Chord: {function} > {quality}?

e.g.

IMaj7 

?

I'm not sure what your > symbol indicates here:

"Chord: {function} > {quality}?"

Chord quality indicates the elements of a chord in isolation: major, minor, diminished, augmented, dominant, added, suspended, etc.

C-E-G is a major chord.  C-E-flat-G is a minor chord.

Chord function indicates the relationship a chord has to its key signature & musical context: tonic, subdominant, dominant, etc.

In a major scale:  tonic (I), supertonic (ii), mediant (iii), subdominant (IV), dominant (V), submediant (vi), leading / subtonic (vii) 

Example:

C (I) / Am (vi) / F (IV) / G (V)

The functions of each chord are:

C - tonic

Am - submediant

F - subdominant

G - dominant

Hope that helps!

I'm using ">" as the math symbol
(as I understand it): "greater than"

my notion is:
{chord function} greater than {chord quality}
as in

{chord quality} superficial to {chord function}

the pure triad - or even a freaking diad - gets the job done

the extra intervals make it more sophisticated

...

it was perhaps a rhetorical question;

but in that 

I strive to reduce things to axiom like formulas;
and this results in - or is just byproduct of - my notions being more abstract...
I tend to seek feedback on them.

but it can be a challenge for others to understand what i'm babbling about
sometimes this is because I'm just thinking of it in a way they haven't
other times it's just because I'm assuming something erroneous; and saying it in an abstract way.

all that said; general FYI
I'm setting this and other such questions aside; at least until I've digested all the theory courses you've put together.

(thanks much for your patience and thorough replies)

Okay, thanks for clarifying.  That works if greater than means more precise.  I think of function as an added element.

Any major chord could be tonic (I), subdominant (IV), or dominant (V).  But each function is a unique placement for that major chord in the context of a key signature or functional harmony progression.

I hope my theory tutorials are helpful.  Please ask more questions when you have them!