Summary

The Size and proportions are similar to the largest prop at the set during filming.
The Ring

To calculate the inner dimension:

Outer dimension (Length/Width) = 4/3 * Inner Diameter (The Diameter you want)

Print at a reasonable scale, as the letters are very small.

Image Rendered in KeyShot 8

Print Settings

Printer Brand:

Monoprice

                                            <p class="detail-setting printer"><strong>Printer: </strong>                     <div><p>Select Mini</p></div></p>                                                                                <p class="detail-setting rafts"><strong>Rafts: </strong>                     <div><p>No</p></div></p>                                                                                <p class="detail-setting supports"><strong>Supports: </strong>                     <div><p>No</p></div></p>                                                                                <p class="detail-setting resolution"><strong>Resolution: </strong>                     <div><p>0.0437mm</p></div></p>                                                                                <p class="detail-setting infill"><strong>Infill: </strong>                     <div><p>100%</p></div></p>                                                    <strong>Filament:</strong> Geetech PLA                    <br>                        <p class="detail-setting notes"><strong>Notes: </strong>                    </p><div><p>Print slow. 15mm/s is a reasonable speed if you want to print such a small model.</p></div>

The One Ring