Brilliance 85 · Fire 50 · Scintillation 72 · in our census, where the T73 scores 86 · 50 · 80 in tourmaline
How the T57 Round Brilliant handles light in tourmaline, measured: brilliance 85, fire 50 and 14% leakage, set against the T73 in the same stone and against the same cut in diamond.
Tourmaline has a refractive index of 1.603 to 1.655 and a dispersion of 0.017. Its critical angle, from the low end of that range, is 38.6°, so a round design needs a pavilion of at least 38.6° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.629, the midpoint of the published range, and a fire spread of 0.015, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.603, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the T57 Round Brilliant in tourmaline live. Tourmaline is strongly doubly refractive (birefringence up to 0.040), so its back facets can look doubled. Our census traces one index (1.629), so the doubling is not in these figures.
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 tourmaline, the census returns 85 of 100 for brilliance and 50 for fire, against 86 and 50 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 tourmaline 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.
At a glance: the T57 Round Brilliant in tourmaline (white) against the T73 Round Brilliant in tourmaline (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 tourmaline: ahead on 1, level on 3, behind on 4.
0.82 ct at 6.5 mm, against 0.92 ct for the same cut in diamond (−11%)
Weight follows specific gravity: 3.13 for tourmaline against 3.52 for diamond, so the same model at the same size weighs 0.82 ct here and 0.92 ct in diamond, 6.5 mm across. Nothing about the light changes with it.
Try it yourself: Weights in every gemstone on the T57 Round Brilliant page
Face-up size 107 against 100 for the T73 Round Brilliant in tourmaline (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 · 6.96 mm at 1.00 ct · Face-up size 107
T73 Round Brilliant · 6.74 mm at 1.00 ct · Face-up size 100
Try it yourself: See its size at 1.00 ct in tourmaline in the 3D Gemstone Simulator
Fire 50 against 79 for the T57 Round Brilliant in diamond: 29 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 (0.015 in tourmaline) and counts a ray as fire when the two directions differ by more than 0.6°. The T57 Round Brilliant reads 50 against 79 for the same cut in diamond. The figure is the census's; the 3D Gemstone Simulator renders tourmaline'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 tourmaline under the sunny-day lighting.
What helps: the Oval Cut reads 80 for fire in tourmaline, the best of the cuts we score there.
Tilt 74 against 90 for the T57 Round Brilliant in diamond: 16 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 74 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 tourmaline · Tilt 74
T57 Round Brilliant in diamond · Tilt 90
What helps: the DG-Miliano reads 86 for tilt in tourmaline, the best of the cuts we score there.
Try it yourself: Compare the Tilt spoke in the Cut Performance Wheel
Leakage 14 against 2 for the T57 Round Brilliant in diamond: 12 points higher
Leakage is the share of the census rays that enter the stone and leave through the pavilion, or through the crown heading down. The T57 Round Brilliant leaks 14% in tourmaline against 2% for the same cut in diamond. Grey in the maps below is leaking light; the share under each picture is that picture's own.
T57 Round Brilliant in tourmaline · Leakage 14
T57 Round Brilliant in diamond · Leakage 2
What helps: the DG-M5 reads 4% for leakage in tourmaline, the best of the cuts we score there.
Try it yourself: Tilt it yourself in the simulator's light map
Scintillation 72 against 80 for the T73 Round Brilliant in tourmaline: 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.
T57 Round Brilliant · 57 facets · Scintillation 72
T73 Round Brilliant · 73 facets · Scintillation 80
What helps: the DG-Miliano reads 98 for scintillation in tourmaline, the best of the cuts we score there.
Try it yourself: Compare the Scintillation spoke in the Cut Performance Wheel
Pick the T57 Round Brilliant in tourmaline for this: it weighs less than in diamond and faces up larger for its weight. The catch: it shows less fire than in diamond, loses more light when tilted than in diamond, leaks more than in diamond and has fewer facets to sparkle with.
If that catch matters more to you, the Oval Cut reads 80 for fire in tourmaline, 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.
In our census the T57 Round Brilliant returns 85 of 100 for brilliance and 50 for fire in tourmaline, against 86 and 50 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.
At least 38.6° for a round design: tourmaline's critical angle is 38.6°, 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°.
At 6.5 mm across, 0.82 ct in tourmaline, against 0.92 ct for the same cut in diamond (-11%): tourmaline's specific gravity is 3.13, diamond's 3.52.
Yes: the 3D Gemstone Simulator renders it live, with tourmaline's own refractive index and dispersion. Tourmaline 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.
The T57 Round Brilliant Cut as exact geometry: 57 planar facets, real-world scale, ready for CAD, rendering, printing and casting.
The T57 Round Brilliant Cut as a faceting design: 57 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.
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).
Questions before you buy? Email us.
Tourmaline: optical properties and the top ten cuts · The T57 Round Brilliant: specifications, model and files