Column-Wheel Ratchet Tooth Count
Calculate ratchet teeth for a caller-specified column-wheel geometry using the documented teeth-per-column relationship.
Description
A column-wheel count model multiplies columns by a supplied strokes-per-cycle factor.
A column-wheel count model multiplies columns by a supplied strokes-per-cycle factor. The factor states the assumed tooth relationship.1
Calculate ratchet teeth for a caller-specified column-wheel geometry using the documented teeth-per-column relationship.
When to use Column-Wheel Ratchet Tooth Count
Use this tool to calculate ratchet teeth for a caller-specified column-wheel geometry using the documented teeth-per-column relationship.
Choose a supported reference focus or prepare the watch measurements, evidence and explicit limits requested. Confirm units and date conventions before running.
How to use Column-Wheel Ratchet Tooth Count and understand its results
- Choose a supported reference focus or prepare the watch measurements, evidence and explicit limits requested. Confirm units and date conventions before running.
- Enter columnCount, strokesPerCycle using the field table and calculation rules, then run the tool.
- Read ratchetTeeth, ratchetTeethPerColumn. 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 |
|---|---|---|---|
| columnCount | Column count | integer; minimum: 1; maximum: 30 | Required |
| strokesPerCycle | Functional strokes per cycle | integer; minimum: 1; maximum: 10 | Required |
Enter integer columns 1–30 and strokes 1–10. Return tooth count and teeth-per-column equal to the supplied strokes.
ratchetTeeth=columns×strokesPerCycle Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| ratchetTeeth | Calculated ratchet teeth | integer; minimum: 1; maximum: 300 |
| ratchetTeethPerColumn | Ratchet teeth per column | integer; minimum: 1; maximum: 10 |
{
"input": {
"columnCount": 6,
"strokesPerCycle": 3
},
"output": {
"ratchetTeeth": 18,
"ratchetTeethPerColumn": 3
}
}Limitations and assumptions
No mechanism geometry, control sequence or real tooth count is identified.
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 Escapement Impulse Rate: Compare detent, duplex, and natural-escapement impulse rates from the balance beat rate without conflating beat and full oscillation. For a complementary task, use Minute Repeater Strike Count: Count hammer strikes for a two-gong minute repeater: hours, paired quarter-hour strikes, then minutes since the quarter.
References
-
Column-Wheel Ratchet Tooth Count — tool.io
Similar or alternative tools
- Escapement Impulse Rate
Compare detent, duplex, and natural-escapement impulse rates from the balance beat rate without conflating beat and full oscillation.
- Minute Repeater Strike Count
Count hammer strikes for a two-gong minute repeater: hours, paired quarter-hour strikes, then minutes since the quarter.