Total Depth Percentage

Audit measured total depth against independently measured crown/girdle/pavilion depth ledger and girdle diameter; closure error remains signed, not another solitary component-percentage alias.

Description

Total depth can be checked against separately measured crown, girdle and pavilion components.

Total depth can be checked against separately measured crown, girdle and pavilion components. A signed closure error exposes inconsistent measurements.1

Audit measured total depth against independently measured crown/girdle/pavilion depth ledger and girdle diameter; closure error remains signed, not another solitary component-percentage alias.

When to use Total Depth Percentage

Use this tool to audit measured total depth against independently measured crown/girdle/pavilion depth ledger and girdle diameter; closure error remains signed, not another solitary component-percentage alias.

Prepare the gemstone measurements, spectra or comparison data and any supplied calibration parameters. Check units, reference conditions and record alignment.

How to use Total Depth Percentage and understand its results

  1. Prepare the gemstone measurements, spectra or comparison data and any supplied calibration parameters. Check units, reference conditions and record alignment.
  2. Enter measuredTotalDepthMm, componentDepthsCrownGirdlePavilionMm, measuredGirdleDiameterMm using the field table and calculation rules, then run the tool.
  3. Read totalDepthPercent, componentDepthSumMm, signedComponentClosureErrorMm. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
measuredTotalDepthMmMeasured total depth mmnumberRequired
componentDepthsCrownGirdlePavilionMmComponent depths crown girdle pavilion mmlist of numberRequired
measuredGirdleDiameterMmMeasured girdle diameter mmnumberRequired

Enter positive girdle diameter, nonnegative total depth and exactly three nonnegative crown/girdle/pavilion depths in mm. Return total percentage, component sum and signed closure error.

depth percent=100 × measured total/girdle diameter; closure=measured total−sum components

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
totalDepthPercentTotal depth percentnumber
componentDepthSumMmComponent depth sum mmnumber
signedComponentClosureErrorMmSigned component closure error mmnumber
json
{
  "input": {
    "measuredTotalDepthMm": 6,
    "componentDepthsCrownGirdlePavilionMm": [
      1,
      2,
      3
    ],
    "measuredGirdleDiameterMm": 10
  },
  "output": {
    "totalDepthPercent": 60,
    "componentDepthSumMm": 6,
    "signedComponentClosureErrorMm": 0
  }
}

Limitations and assumptions

The tool does not reconcile disagreements or assign a cut grade.

Numeric inputs and returned numeric values must be finite; an unrepresentable returned value produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Girdle Thickness Percentage: Retain circumferential girdle variation and actual perimeter-weighted thickness relative to caller diameter, rather than one unrepresentative spot percentage or fracture-risk grading. For a complementary task, use Volume of Round Brilliant: Evaluate closed coaxial crown-frustum/girdle-cylinder/pavilion-frustum envelope volume including table/culet under supplied geometry; approximation is not true individual faceted round-brilliant geometry or carat weight.

References

  1. Total Depth Percentage — tool.io

Similar or alternative tools

  • Girdle Thickness Percentage

    Retain circumferential girdle variation and actual perimeter-weighted thickness relative to caller diameter, rather than one unrepresentative spot percentage or fracture-risk grading.

  • Volume of Round Brilliant

    Evaluate closed coaxial crown-frustum/girdle-cylinder/pavilion-frustum envelope volume including table/culet under supplied geometry; approximation is not true individual faceted round-brilliant geometry or carat weight.

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