Isochronism Amplitude Rate Slope Calculator
Measure the endpoint rate change and slope between two caller-supplied amplitude observations; this does not turn a two-point slope into a complete isochronism curve.
Description
A two-point isochronism comparison estimates rate change with amplitude.
A two-point isochronism comparison estimates rate change with amplitude. It does not establish an entire amplitude-dependent rate curve.1
Measure the endpoint rate change and slope between two caller-supplied amplitude observations; this does not turn a two-point slope into a complete isochronism curve.
When to use Isochronism Amplitude Rate Slope Calculator
Use this tool to measure the endpoint rate change and slope between two caller-supplied amplitude observations; this does not turn a two-point slope into a complete isochronism curve.
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 Isochronism Amplitude Rate Slope Calculator 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 highAmplitudeDegrees, highRateSecondsPerDay, lowAmplitudeDegrees, lowRateSecondsPerDay, maximumAllowedAbsoluteRateChangeSecondsPerDay using the field table and calculation rules, then run the tool.
- Read absoluteRateChangeSecondsPerDay, amplitudeChangeDegrees, rateChangePerAmplitudeDegree, withinCallerRateChangeLimit. 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 |
|---|---|---|---|
| highAmplitudeDegrees | High observed amplitude (deg) | number; minimum: 0 | Required |
| highRateSecondsPerDay | Rate at high amplitude (s/day) | number | Required |
| lowAmplitudeDegrees | Low observed amplitude (deg) | number; minimum: 0 | Required |
| lowRateSecondsPerDay | Rate at low amplitude (s/day) | number | Required |
| maximumAllowedAbsoluteRateChangeSecondsPerDay | Maximum allowed absolute endpoint rate change (s/day) | number; minimum: 0 | Required |
Enter positive low amplitude, strictly larger high amplitude, finite signed rates and nonnegative absolute-change limit. Return amplitude change, signed slope, absolute rate change and inclusive gate.
slope=(highRate−lowRate)/(highAmplitude−lowAmplitude) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| absoluteRateChangeSecondsPerDay | Absolute endpoint rate change (s/day) | number; minimum: 0 |
| amplitudeChangeDegrees | Amplitude change (deg) | number; minimum: 0 |
| rateChangePerAmplitudeDegree | Rate change per amplitude degree (s/day/deg) | number |
| withinCallerRateChangeLimit | Within caller endpoint rate-change limit | boolean |
{
"input": {
"highAmplitudeDegrees": 280,
"highRateSecondsPerDay": 4,
"lowAmplitudeDegrees": 200,
"lowRateSecondsPerDay": -2,
"maximumAllowedAbsoluteRateChangeSecondsPerDay": 5
},
"output": {
"absoluteRateChangeSecondsPerDay": 6,
"amplitudeChangeDegrees": 80,
"rateChangePerAmplitudeDegree": 0.075,
"withinCallerRateChangeLimit": false
}
}Limitations and assumptions
Keep measurement conditions comparable; no causal model or uncertainty is fitted.
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. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use Amplitude–Rate Interpolator: Linearly interpolate measured daily rate versus balance amplitude without extrapolating outside caller-supplied observations. For a complementary task, use Free Sprung Index Regulator Comparison Lookup: Return free-sprung inertia adjustment, index curb-pin adjustment, isochronism control, service tradeoff, or non-absolute accuracy fact.
References
Similar or alternative tools
- Amplitude–Rate Interpolator
Linearly interpolate measured daily rate versus balance amplitude without extrapolating outside caller-supplied observations.
- Free Sprung Index Regulator Comparison Lookup
Return free-sprung inertia adjustment, index curb-pin adjustment, isochronism control, service tradeoff, or non-absolute accuracy fact.