Bolton Arch Length Discrepancy Calculator
Correct title premise:arch-space discrepancy=available arch perimeter−required tooth-width sum, negative shortage. Boltonis interarch tooth-size ratio, not this arch-length calculation. Actual matching arc/tooth set and methodology external; no extraction decision.
Description
Arch space discrepancy compares available perimeter with the summed tooth widths needed on the same basis.
Arch space discrepancy compares available perimeter with the summed tooth widths needed on the same basis.1
A negative difference preserves a measured space shortfall. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Bolton Arch Length Discrepancy Calculator
Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the qualified examination or measurement context, matching instrument/protocol edition, site order and units.
How to use Bolton Arch Length Discrepancy Calculator and understand its results
- Establish the qualified examination or measurement context, matching instrument/protocol edition, site order and units.
- Enter independentlyMeasuredAvailableArchPerimeterMm, independentlyMeasuredRequiredSummedToothWidthsMm, using the field meanings and rules below, then run the tool.
- Read result.signedObservedArchSpaceDiscrepancyMm. Interpret each field using the units, signs and evidence rules below.
- If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| independentlyMeasuredAvailableArchPerimeterMm | Independently measured available arch perimeter mm | number | Required |
| independentlyMeasuredRequiredSummedToothWidthsMm | Independently measured required summed tooth widths mm | number | Required |
Require nonnegative available perimeter and required summed tooth widths in millimeters. Return available−required, preserving a negative space shortfall. No expansion or extraction decision is made.
signedArchSpaceDiscrepancyMm=availablePerimeterMm−requiredToothWidthsMm Apply the field units and exact ordering, boundary and evidence rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured result containing the calculation or selected reference fields below | object |
| result.signedObservedArchSpaceDiscrepancyMm | Signed Observed Arch Space Discrepancy Mm; use the units, sign convention and calculation stated above | number |
{
"input": {
"independentlyMeasuredAvailableArchPerimeterMm": 70,
"independentlyMeasuredRequiredSummedToothWidthsMm": 75
},
"output": {
"result": {
"signedObservedArchSpaceDiscrepancyMm": -5
}
}
}Limitations and assumptions
A negative difference preserves a measured space shortfall. Results depend on the independently established measurement basis and the exact model assumptions above.
Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.
Alternative or Complementary methods
Use Overbite Depth Percent Calculator to examine a related aspect: Overbite percentage relates signed vertical incisor overlap to a matched lower-incisor crown height.
Use Overjet Measurement Tool where its separate inputs and scope apply: Overjet is a signed horizontal relationship between matched incisor landmarks.
References
Similar or alternative tools
- Overbite Depth Percent Calculator
Overbite percentage relates signed vertical incisor overlap to a matched lower-incisor crown height.
- Overjet Measurement Tool
Overjet is a signed horizontal relationship between matched incisor landmarks.