Bolton Overall Ratio Calculator
Actual Boltonoverall twelve-teeth-per-arch lower-width sum/upper-width sum percent. Tooth inclusion and contact widths independently assessed; not a universal ideal-ratio norm or treatment plan.
Description
Bolton's overall ratio compares summed mandibular and maxillary widths for twelve matched teeth per arch.
Bolton's overall ratio compares summed mandibular and maxillary widths for twelve matched teeth per arch.1
The measurement set determines the ratio's anatomical scope. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Bolton Overall Ratio 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 Overall Ratio Calculator and understand its results
- Establish the qualified examination or measurement context, matching instrument/protocol edition, site order and units.
- Enter independentlyMeasuredMandibularToothWidthsMm, independentlyMatchedMaxillaryToothWidthsMm, using the field meanings and rules below, then run the tool.
- Read result.observedBoltonRatioPercent. 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 |
|---|---|---|---|
| independentlyMeasuredMandibularToothWidthsMm | Independently measured mandibular tooth widths mm | list of number | Required |
| independentlyMatchedMaxillaryToothWidthsMm | Independently matched maxillary tooth widths mm | list of number | Required |
Enter exactly 12 positive mandibular widths and the same count of positive matched maxillary widths in millimeters. Sum each arch and return 100×mandibularSum/maxillarySum. No normal ratio, clinical discrepancy or treatment recommendation is supplied.
observedBoltonRatioPercent=100×ΣmandibularWidthsMm/ΣmaxillaryWidthsMm 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.observedBoltonRatioPercent | Observed Bolton Ratio Percent; use the units, sign convention and calculation stated above | number |
{
"input": {
"independentlyMeasuredMandibularToothWidthsMm": [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5
],
"independentlyMatchedMaxillaryToothWidthsMm": [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6
]
},
"output": {
"result": {
"observedBoltonRatioPercent": 83.33333333333333
}
}
}Limitations and assumptions
The measurement set determines the ratio's anatomical scope. 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 PAR Score Calculator to examine a related aspect: Peer Assessment Rating evaluates occlusal characteristics under a specified scoring system.
Use IOTN Treatment Need Calculator where its separate inputs and scope apply: IOTN describes orthodontic treatment need using defined components and criteria.
References
-
Bolton Overall Ratio Calculator — tool.io
Similar or alternative tools
- PAR Score Calculator
Peer Assessment Rating evaluates occlusal characteristics under a specified scoring system.
- IOTN Treatment Need Calculator
IOTN describes orthodontic treatment need using defined components and criteria.