Scratch Hardness Gap Calculator
Mohs ordinal rank gap only; gaps are not equal physical hardness units or universal scratch/abrasion ratio, independently established ranks required. Caller independently establishes geometry, assay, calibration and protocol; not material identity, laboratory grade, treatment or care safety.
Description
Mohs hardness is an ordinal scratch-resistance scale rather than a linear measure of abrasive wear.
Mohs hardness is an ordinal scratch-resistance scale rather than a linear measure of abrasive wear.1
A rank difference can describe ordering but cannot establish a quantitative wear ratio. Use this tool to calculate scratch hardness gap from the supplied measurements and assumptions.
When to use Scratch Hardness Gap Calculator
Use this tool to calculate scratch hardness gap from the supplied measurements and assumptions. Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.
How to use Scratch Hardness Gap Calculator and understand its results
- Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.
- Enter callerOrdinalMohsTestRank, callerOrdinalSpecimenRank, using the field meanings and rules below, then run the tool.
- Read ordinalRankGap, predictedQuantitativeAbrasionRatioAvailable. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerOrdinalMohsTestRank | Caller ordinal mohs test rank | number | Required |
| callerOrdinalSpecimenRank | Caller ordinal specimen rank | number | Required |
Enter independently assigned integer Mohs ranks from 1 through 10 for test and specimen. Return test rank minus specimen rank and predictedQuantitativeAbrasionRatioAvailable=false. The tool does not observe a scratch or convert ordinal differences into a wear multiplier.
rankGap=testRank−specimenRank; quantitativeAbrasionRatioAvailable=false Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| ordinalRankGap | Ordinal Rank Gap; follow the units, sign, ordering and evidence convention stated above | number |
| predictedQuantitativeAbrasionRatioAvailable | Always false: ordinal Mohs ranks do not supply a quantitative wear ratio | boolean |
{
"input": {
"callerOrdinalMohsTestRank": 7,
"callerOrdinalSpecimenRank": 5
},
"output": {
"ordinalRankGap": 2,
"predictedQuantitativeAbrasionRatioAvailable": false
}
}Limitations and assumptions
A rank difference can describe ordering but cannot establish a quantitative wear ratio. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Mohs Interval Wear Suitability Checker for this related task: Wear suitability includes more than scratch hardness, such as toughness, stability and the planned setting.
Use Four-C Composite Grade Scorer when its separate inputs and assumptions fit the question: The four Cs organize diamond descriptions around carat, color, clarity and cut.
References
-
Scratch Hardness Gap Calculator — tool.io
Similar or alternative tools
- Mohs Interval Wear Suitability Checker
Wear suitability includes more than scratch hardness, such as toughness, stability and the planned setting.
- Four-C Composite Grade Scorer
The four Cs organize diamond descriptions around carat, color, clarity and cut.