Price Jump at Magic Size Checker
Audit actual supplied discrete size-band quotation jump across two measured masses, preserving signed changes rather than interpolate across a discontinuity; no universal magic-size pricing.
Description
Quoted rates can jump at mass-band boundaries.
Quoted rates can jump at mass-band boundaries. Applying a discrete band preserves that discontinuity instead of smoothing it with interpolation.1
Audit actual supplied discrete size-band quotation jump across two measured masses, preserving signed changes rather than interpolate across a discontinuity; no universal magic-size pricing.
When to use Price Jump at Magic Size Checker
Use this tool to audit actual supplied discrete size-band quotation jump across two measured masses, preserving signed changes rather than interpolate across a discontinuity; no universal magic-size pricing.
Prepare the gemstone measurements, spectra or comparison data and any supplied calibration parameters. Check units, reference conditions and record alignment.
How to use Price Jump at Magic Size Checker and understand its results
- Prepare the gemstone measurements, spectra or comparison data and any supplied calibration parameters. Check units, reference conditions and record alignment.
- Enter callerPriceBandLowerMassesCarats, callerBandRatesPerCarat, beforeMassCarats, afterMassCarats using the field table and calculation rules, then run the tool.
- Read beforeBandIndex, afterBandIndex, quotedRateJumpPerCarat, quotedTotalPriceChange. 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 |
|---|---|---|---|
| callerPriceBandLowerMassesCarats | Caller price band lower masses carats | list of number | Required |
| callerBandRatesPerCarat | Caller band rates per carat | list of number | Required |
| beforeMassCarats | Before mass carats | number | Required |
| afterMassCarats | After mass carats | number | Required |
Use positive before/after masses, 2–128 increasing nonnegative band lower edges covering both masses, and aligned nonnegative rates. Equality uses the band starting at its lower edge. Return zero-based band indices and signed rate/total-price changes.
Paired lists must be nonempty and have equal lengths.
rate jump=rate(after band)−rate(before band); price change=after mass × after rate−before mass × before rate Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| beforeBandIndex | Before band index | number |
| afterBandIndex | After band index | number |
| quotedRateJumpPerCarat | Quoted rate jump per carat | number |
| quotedTotalPriceChange | Quoted total price change | number |
{
"input": {
"callerPriceBandLowerMassesCarats": [
0,
1,
2
],
"callerBandRatesPerCarat": [
50,
100,
200
],
"beforeMassCarats": 0.99,
"afterMassCarats": 1.01
},
"output": {
"beforeBandIndex": 0,
"afterBandIndex": 1,
"quotedRateJumpPerCarat": 50,
"quotedTotalPriceChange": 51.5
}
}Limitations and assumptions
No universal magic-size schedule is embedded. Rates and currency basis are supplied.
Numeric inputs and returned numeric values must be finite; an unrepresentable returned value produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Price Per Carat Interpolation: Interpolate caller comparable per-carat quotations within observed mass calibration and compute total quote; no live market catalog, implicit magic-size smoothing approval or appraisal assertion. For a complementary task, use Melee Parcel Price: Account heterogeneous measured/quoted melee inventory by class counts and mean masses, correctly weighting per-carat rate by carat exposure not stone count; no inferred quality/market value.
References
-
Price Jump at Magic Size Checker — tool.io
Similar or alternative tools
- Price Per Carat Interpolation
Interpolate caller comparable per-carat quotations within observed mass calibration and compute total quote; no live market catalog, implicit magic-size smoothing approval or appraisal assertion.
- Melee Parcel Price
Account heterogeneous measured/quoted melee inventory by class counts and mean masses, correctly weighting per-carat rate by carat exposure not stone count; no inferred quality/market value.