T57 Round Brilliant YAG: faces up larger for its weight
Brilliance 95 · Fire 54 · Scintillation 72 · in our census, where the T73 scores 96 · 54 · 80 in YAG
How the T57 Round Brilliant handles light in YAG, measured: brilliance 95, fire 54 and 4% leakage, set against the T73 in the same stone and against the same cut in diamond.
Light Return map of the T57 Round Brilliant in YAG, face-up, from our own tracer at refractive index 1.833. Red, green and blue return light to the eye; gray leaks.
T57 Round Brilliant YAG
YAG has a refractive index of 1.833 and a dispersion of 0.028. Its critical angle, from the low end of that range, is 33.1°, so a round design needs a pavilion of at least 36.7° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.833, the midpoint of the published range, and a fire spread of 0.024, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.833, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the T57 Round Brilliant in YAG live.
The T57 Round Brilliant has 57 facets and a total depth of 59.2% of its width; its pavilion mains sit at 40.8°. In YAG, the census returns 95 of 100 for brilliance and 54 for fire, against 96 and 54 for the T73, our benchmark, in the same stone; the same T57 Round Brilliant in diamond reads 92 and 79.
Compared with the T73 Round Brilliant in YAG and with the T57 Round Brilliant in diamond.
A difference counts from 3 points (Brilliance, Fire, Tilt, Leakage), 5 (Scintillation,
Symmetry), 4% (face-up size per carat) or 5% (weight); Tilt counts as a pro only for a stone within
5 points of the brilliance it is compared with. How we measure.
All eight scores against the T73
At a glance: the T57 Round Brilliant in YAG (white) against the T73 Round Brilliant in YAG (dashed): solid white where
it reaches further, hatched where it falls short. Each pro and con is explained, with pictures, below.
Against the T73 Round Brilliant in yag: ahead on 1, level on 3, behind on 4.
Global82, the comparison 83, difference −1
Brilliance95, the comparison 96, difference −1
Fire54, the comparison 54, difference 0
Scintillation72, the comparison 80, difference −8
Spread101, the comparison 100, difference +1
Symmetry100, the comparison 100, difference 0
Shape-norm103, the comparison 103, difference 0
Tilt77, the comparison 78, difference −1
Face-up light census, a different measure from the Cut Grading Tool; Spread and Shape-norm above 100 sit on the ring. Spread is the census's estimate from depth alone; the face-up size in the pros and cons is measured from each model's outline. Open it in the Cut Performance Wheel; these are the same census figures as our Cut Performance Index.
What the T57 Round Brilliant gains in YAG
Faces up larger for its weight
Face-up size 107 against 100 for the T73 Round Brilliant in YAG (T73 = 100): 7% more face-up area for the same weight
Face-up size is the outline's area per carat, measured from each model (T73 = 100): 107 for the T57 Round Brilliant against 100 for the T73. The same volume spread over a longer or shallower outline shows more face for the weight; it is the same in every stone, because specific gravity scales every cut alike.
T57 Round Brilliant · 6.14 mm at 1.00 ct · Face-up size 107
T73 Round Brilliant · 5.95 mm at 1.00 ct · Face-up size 100
Both stones weigh 1.00 ct in YAG and are drawn to the same scale in millimeters, from each cut's own model. Face-up size is the outline's area per carat, with the T73 at 100: a deeper stone, or a rounder outline, spreads less area for its weight.
Brilliance 95 against 92 for the T57 Round Brilliant in diamond: 3 points higher
The same cut in diamond returns 92. YAG bends light less than diamond: its critical angle is 33.1°, diamond's 24.4°, so a pavilion facet has to be steeper before light reflects off it rather than passing out. The T57 Round Brilliant's pavilion returns more of YAG's light than of diamond's, as the two maps show.
T57 Round Brilliant in YAG · Brilliance 95
T57 Round Brilliant in diamond · Brilliance 92
Red, green and blue = light returning to the eye; gray = leakage, light that leaves heading down or stays inside. This is the head-on view; the Brilliance score averages a wider cone of light, so the score can differ from what one picture shows.
1.19 ct at 6.5 mm, against 0.92 ct for the same cut in diamond (+29%)
Weight follows specific gravity: 4.55 for YAG against 3.52 for diamond, so the same model at the same size weighs 1.19 ct here and 0.92 ct in diamond, 6.5 mm across. Nothing about the light changes with it.
A T57 Round Brilliant 6.5 mm across, weighed from the model's measured volume and each stone's specific gravity.
Fire 54 against 79 for the T57 Round Brilliant in diamond: 25 points lower
Fire is the share of the returned light that splits into color at the exit facet: the census traces each exit again at the refractive index minus and plus the fire spread (0.024 in YAG) and counts a ray as fire when the two directions differ by more than 0.6°. The T57 Round Brilliant reads 54 against 79 for the same cut in diamond. The figure is the census's; the 3D Gemstone Simulator renders YAG's fire live.
The fire figure is the census's, traced at the refractive index minus and plus the fire spread. See the fire in the 3D Gemstone Simulator: the T57 Round Brilliant in YAG under the sunny-day lighting.
What helps:the DG-Elongated Hexagon reads 93 for fire in YAG, the best of the cuts we score there.
Tilt 77 against 90 for the T57 Round Brilliant in diamond: 13 points lower
Tilt is how much of its face-up brilliance a stone keeps when the census tilts it 20° about its long axis, with 2,200 rays. The T57 Round Brilliant keeps 77 against 90 for the same cut in diamond. The tilt strips below show the maps at 0°, 10°, 20° and 30°, with each picture's own leak share under it.
T57 Round Brilliant in YAG · Tilt 77
0° · 2% leak
10° · 7% leak
20° · 20% leak
30° · 29% leak
T57 Round Brilliant in diamond · Tilt 90
0° · 4% leak
10° · 2% leak
20° · 10% leak
30° · 16% leak
Tilt is how much of its own face-up light a stone keeps when tilted. Each frame is the Light Return map with the stone tilted away from you by the angle shown; gray is leakage. The share under each frame is that picture's own.
What helps:the DG-Miliano reads 85 for tilt in YAG, the best of the cuts we score there.
Scintillation 72 against 80 for the T73 Round Brilliant in YAG: 8 points lower
Scintillation follows the number of facets the stone shows: 100 × (1 − e^(−facets / 45)). The T57 Round Brilliant has 57 facets and the T73 73, so 72 against 80. It depends on the geometry alone, so it is the same in every stone.
Scintillation follows the number of facets: more facets, more and smaller flashes as the stone moves. Compare the facet counts under the drawings; each drawing shows only the crown. Drawn from each cut's own model.
What helps:the DG-Miliano reads 98 for scintillation in YAG, the best of the cuts we score there.
Pick the T57 Round Brilliant in YAG for this: it faces up larger for its weight and returns more light than in diamond. The catch: it weighs more than in diamond, shows less fire than in diamond, loses more light when tilted than in diamond and has fewer facets to sparkle with.
If that catch matters more to you, the DG-Elongated Hexagon reads 93 for fire in YAG, the best of the cuts we score there.
Every figure on this page is from our light census, traced at one refractive index: a simulation of the geometry, not a grading report. The 3D files and cutting files below are the same T57 Round Brilliant model we traced.
T57 Round Brilliant YAG: questions
Is the T57 a good cut for YAG?
In our census the T57 Round Brilliant returns 95 of 100 for brilliance and 54 for fire in YAG, against 96 and 54 for the T73 in the same stone. Against that round and against the same cut in diamond it has 2 pros and 4 cons by our thresholds; the summary above names them.
What pavilion angle does YAG need?
At least 36.7° for a round design: YAG's critical angle is 33.1°, from the low end of its refractive index range, and head-on light has to reflect off both sides of the pavilion and leave through the table. The T57 Round Brilliant's pavilion mains sit at 40.8°.
How much does a T57 weigh in YAG?
At 6.5 mm across, 1.19 ct in YAG, against 0.92 ct for the same cut in diamond (+29%): YAG's specific gravity is 4.55, diamond's 3.52.
Can I see the T57 in YAG in 3D?
Yes: the 3D Gemstone Simulator renders it live, with YAG's own refractive index and dispersion. YAG is traced by the same light census as the other gemstones, with its refractive index and fire spread derived from published values, so its scores are on the same scale; the pictures here are our Light Return tracer, and the Cut Performance Wheel sets it against any other cut and stone.
Get the T57 Round Brilliant Cut files
6 formatsMillimetersWatertight
T57 Round Brilliant Cut 3D files
The T57 Round Brilliant Cut as exact geometry: 57 planar facets, real-world scale, ready for CAD,
rendering, printing and casting.
Save with a bundle: the T57 Round Brilliant Cut 3D and cutting files are also in Historic Cuts Complete, 6 cuts for €29.99 until 1 December, then €39.99 (€101.88 as single files). Buy the bundle.
Not sure the files open in your software? Get the cube free: the same six formats, for your email address, used only to send them (privacy).
