Barrel Teeth to Mainspring Turns Calculator
Infer actual barrel unwind turns from observed driven-wheel rotations and measured tooth ratio, separately excluding caller unusable turns; no tooth-count-alone spring capacity or reserve forecast.
Description
Observed driven-wheel turns and measured gearing can estimate barrel rotation.
Observed driven-wheel turns and measured gearing can estimate barrel rotation. Unusable spring turns must be independently measured.1
Enter integer teeth 1–10000, nonnegative observed turns/excluded turns and exclusion≤modeled barrel turns. Return observed barrel estimate and usable unwind turns.
When to use Barrel Teeth to Mainspring Turns Calculator
Use Barrel Teeth to Mainspring Turns Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No tooth-count-alone spring capacity or power-reserve forecast is supplied.
Prepare the measured watch or gearing records and verified movement specifications requested. Confirm tooth counts, quarter-hour ordering and caller strike conventions.
How to use Barrel Teeth to Mainspring Turns Calculator and understand its results
- Prepare the measured watch or gearing records and verified movement specifications requested. Confirm tooth counts, quarter-hour ordering and caller strike conventions.
- Enter barrelWheelTeeth, drivenCenterPinionTeeth, observedCenterWheelRevolutions, independentlyMeasuredUnusableSpringTurns using the field table and calculation rules, then run the tool.
- Read observedBarrelRotations, usableMainspringUnwindTurns. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- 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 field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| barrelWheelTeeth | Barrel wheel teeth | number | Required |
| drivenCenterPinionTeeth | Driven center pinion teeth | number | Required |
| observedCenterWheelRevolutions | Observed center wheel revolutions | number | Required |
| independentlyMeasuredUnusableSpringTurns | Independently measured unusable spring turns | number | Required |
Enter integer teeth 1–10000, nonnegative observed turns/excluded turns and exclusion≤modeled barrel turns. Return observed barrel estimate and usable unwind turns.
barrelTurns=centerTurns×pinionTeeth/barrelTeeth; usable=barrelTurns−excluded Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedBarrelRotations | Observed barrel rotations | number |
| usableMainspringUnwindTurns | Usable mainspring unwind turns | number |
{
"input": {
"barrelWheelTeeth": 80,
"drivenCenterPinionTeeth": 10,
"observedCenterWheelRevolutions": 40,
"independentlyMeasuredUnusableSpringTurns": 1
},
"output": {
"observedBarrelRotations": 5,
"usableMainspringUnwindTurns": 4
}
}Limitations and assumptions
No tooth-count-alone spring capacity or power-reserve forecast is supplied.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Cannon Pinion to Hour Wheel Ratio Calculator: Two external gear meshes form a compound motion-work reduction. Their two direction reversals preserve overall direction. For a complementary task, use Escapement Wheel Tooth Count Lookup: Escapement tooth counts depend on a verified movement specification. Beat rate alone does not identify the wheel geometry.
References
Similar or alternative tools
- Cannon Pinion to Hour Wheel Ratio Calculator
Two external gear meshes form a compound motion-work reduction. Their two direction reversals preserve overall direction.
- Escapement Wheel Tooth Count Lookup
Escapement tooth counts depend on a verified movement specification. Beat rate alone does not identify the wheel geometry.