Cannon Pinion to Hour Wheel Ratio Calculator
Evaluate actual two-mesh motion-work reduction and signed minute-to-hour hand displacement; two external meshes preserve rotation direction, no universal 12:1 assumption or unknown intermediate gearing.
Description
Two external gear meshes form a compound motion-work reduction.
Two external gear meshes form a compound motion-work reduction. Their two direction reversals preserve overall direction.1
Enter four integer tooth counts 1–10000 and finite signed observed minute-hand turns. Return reduction and signed modeled hour-hand turns.
When to use Cannon Pinion to Hour Wheel Ratio Calculator
Use Cannon Pinion to Hour Wheel Ratio Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No universal 12:1 ratio or unobserved intermediate gearing is assumed.
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 Cannon Pinion to Hour Wheel Ratio 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 cannonPinionTeeth, intermediateMinuteWheelTeeth, minutePinionTeeth, hourWheelTeeth, observedMinuteHandTurns using the field table and calculation rules, then run the tool.
- Read compoundMinuteToHourReductionRatio, modeledHourHandTurns. 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 |
|---|---|---|---|
| cannonPinionTeeth | Cannon pinion teeth | number | Required |
| intermediateMinuteWheelTeeth | Intermediate minute wheel teeth | number | Required |
| minutePinionTeeth | Minute pinion teeth | number | Required |
| hourWheelTeeth | Hour wheel teeth | number | Required |
| observedMinuteHandTurns | Observed minute hand turns | number | Required |
Enter four integer tooth counts 1–10000 and finite signed observed minute-hand turns. Return reduction and signed modeled hour-hand turns.
reduction=(minuteWheel/cannonPinion)×(hourWheel/minutePinion); hourTurns=minuteTurns/reduction Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| compoundMinuteToHourReductionRatio | Compound minute to hour reduction ratio | number |
| modeledHourHandTurns | Modeled hour hand turns | number |
{
"input": {
"cannonPinionTeeth": 10,
"intermediateMinuteWheelTeeth": 30,
"minutePinionTeeth": 8,
"hourWheelTeeth": 32,
"observedMinuteHandTurns": 12
},
"output": {
"compoundMinuteToHourReductionRatio": 12,
"modeledHourHandTurns": 1
}
}Limitations and assumptions
No universal 12:1 ratio or unobserved intermediate gearing is assumed.
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 Barrel Teeth to Mainspring Turns Calculator: Observed driven-wheel turns and measured gearing can estimate barrel rotation. Unusable spring turns must be independently measured. 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
- Barrel Teeth to Mainspring Turns Calculator
Observed driven-wheel turns and measured gearing can estimate barrel rotation. Unusable spring turns must be independently measured.
- Escapement Wheel Tooth Count Lookup
Escapement tooth counts depend on a verified movement specification. Beat rate alone does not identify the wheel geometry.