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Description

Any ideas about what that text and drawings means? Feel free to reupload this image with your theory.
 
Reconstructed Cozy Glow’s magic circle using multiple screencaps. Not pixel-perfect accurate, but all shapes are present, nothing is omitted.  
SVG: [link] (you can freely use it as resource for your drawings)
 
Compare to:  

safe2272717 .svg available11142 amulet1590 amulet of aurora39 clover the clever's cloak43 crown32804 crown of grover77 helm of yickslur37 helmet17083 jewelry125794 knuckerbocker's shell33 magic102220 magic circle1079 mandala14 no pony16118 regalia40475 shell466 talisman of mirage35 vector92890 written equestrian421

Comments

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Background Pony #7FBD
@RedTriangle  
Doesn’t need an incantation. Vast majority of Arcane circles and magic has no incantation.  
Still Starlight was pushed in and all of it started meaning she was being used as a living battery.
Background Pony #5021
@ThePonyTheorist  
Yea, they move, but now that I’m thinking about it, maybe there’s one “canon” arrangement present, the most common one. Just like how ‘black right hand’ in animated media can be left hand in some rare shots.  
@ThePonyTheorist
though there may be some significance due the semicircles around them.
I noticed that top and bottom semicircles are bigger than other semicircles. Also, Tirek’s horns are the only pic that actually touch outer circle and crescent.
ThePonyTheorist
Non-Fungible Trixie -

Also, are you sure the artifacts move around? I thought that temporarily, but when I took a second look, it seemed more like the camera was moving position.
ThePonyTheorist
Non-Fungible Trixie -

Keep note that SOMETHING also needs to be coding for the magic to actually be dragged into the portal instead of just bursting out again - that may actually be a more fair translation of the runes to the left and right. One ‘world’ with a piece missing, one ‘world’ with a piece added…
ThePonyTheorist
Non-Fungible Trixie -

@Background Pony #C9A9  
Yes.
 
The ‘cresent moons’ are probably just focusing the power of the artifacts, though there may be some significance due the semicircles around them. I haven’t thought of anything for that…
 
Now, as for the central area; Just look at the crystal empire. the 6-pointed star is synonymous with drawing in magic/emotions to a central point, therefore that same point is at play here. Tirek’s horns are obviously aiding in the suction somehow.
 
I never noticed it before, but good eye with thinking the bottom part is a wing! I’m unsure, and this is VERY nebulous, but perhaps that’s how it levetates the ball above itself. That, or it’s a clause stating “specifically do NOT drain Pegasus magic”, hence allowing Cozy to keep her own.
 
The parts to the sides? I got nothing. Related to the hands? Maybe, but that could easily be coded in the text.
ThePonyTheorist
Non-Fungible Trixie -

You have all of them, though in the last ‘segment;, I missed the V, and had the “LOI” as “IOI” - Still very similar.
 
You’re missing something out on your ‘basic shape’, I think: Note the inner circle which is unconnected to the other one. Never have I seen THAT in a rune before (especially both of Starlight’s, which is the closest to the meaning of the one we see here), which may indicate some importance in how it sucks in magic, holds it, or actually keeps a stable portal.
 
Nevertheless, I think we can make some inferences. A 3-sided triangle allows what seems to be 2-dimensional travel of an object through time. A 5-sided pentagon allows 4-dimensional travel of Twilight and Starlight through both time and space. I suspect that the outer 6-sided hexagon in this rune is what’s calling for 5-dimensional extradimensional travel. From this inference, i’d also hypothesise that a square would call for 3-dimensional teleportation.
Background Pony #5021
Noticed that some ‘letters’ are missing in some shots, while present in others. Corrected version:  
full  
Tell me if you noticed some screencaps with additional ‘letters’ that are missing here.
Background Pony Number 17
My Little Pony - 1992 Edition

The animators are big on magic circles in this show. I don’t know if there’s any deeper meaning to it, or if “circle with geometric shapes and weird sort-of-letters around the edge” is their standard shorthand for “this is magic”.
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Silver Dis-Astḗr
Top part look kinda Tirek’s horns, bottom part looks kinda like wings. Though it’s not likely wings, why would there be wings?
 
The central ring is the “containment sphere” that holds Starlight, all the magic & the young six.  
The “Horns” on the top the active “Draining Arcana Magic” component (likely inspired on Tirek´s horns).  
The “9 i” on the sides is the “hands” that grabbed the CMC & the young six (a reactive trap).  
The “wings” on the bottom is the “Plane Transfer” final trigger that sends stuff to another world.