Pirouette Spotting Rotation Rpm Estimate

Audit actual pirouette spotting intervals against caller unwrapped torso rotation evidence and one-turn tolerance; not head RPM, inferred spotting from wrapped frames, dizziness or safe turn speed.

Description

Spotting intervals can be checked against unwrapped torso rotation.

Spotting intervals can be checked against unwrapped torso rotation. Head rotation and torso rotation are different observations.1

Enter aligned finite torso angles and at least two strictly increasing spot times plus nonnegative degree tolerance. Return signed RPM, one-turn errors and strict-exceedance indexes.

When to use Pirouette Spotting Rotation Rpm Estimate

Use Pirouette Spotting Rotation Rpm Estimate when you need to evaluate the supplied records under the calculation and evidence rules below. No wrapped-frame inference, head RPM, dizziness assessment or safe turn speed is supplied.

Prepare the annotated dance, timing, rehearsal or inventory records requested. Supply caller rules, evidence flags and local reference values; distinguish beats, bars, counts and seconds.

How to use Pirouette Spotting Rotation Rpm Estimate and understand its results

  1. Prepare the annotated dance, timing, rehearsal or inventory records requested. Supply caller rules, evidence flags and local reference values; distinguish beats, bars, counts and seconds.
  2. Enter observedSpotTimesSeconds, observedUnwrappedTorsoAnglesDegreesAtSpots, callerMaximumSpotRotationErrorDegrees using the field table and calculation rules, then run the tool.
  3. Read signedTorsoRpmBetweenSpots, absoluteOneTurnErrorsDegrees, spotIntervalsOutsideCallerOneTurnPolicy. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. 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 fieldMeaningValue type; see rules belowRequirement
observedSpotTimesSecondsObserved spot times secondslist of numberRequired
observedUnwrappedTorsoAnglesDegreesAtSpotsObserved unwrapped torso angles degrees at spotslist of numberRequired
callerMaximumSpotRotationErrorDegreesCaller maximum spot rotation error degreesnumberRequired

Enter aligned finite torso angles and at least two strictly increasing spot times plus nonnegative degree tolerance. Return signed RPM, one-turn errors and strict-exceedance indexes.

rpm=ΔtorsoAngle×60/(360×Δseconds); error=abs(abs(Δangle)−360)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
signedTorsoRpmBetweenSpotsSigned torso rpm between spotslist of number
absoluteOneTurnErrorsDegreesAbsolute one turn errors degreeslist of number
spotIntervalsOutsideCallerOneTurnPolicySpot intervals outside caller one turn policylist of number
json
{
  "input": {
    "observedSpotTimesSeconds": [
      0,
      1,
      2
    ],
    "observedUnwrappedTorsoAnglesDegreesAtSpots": [
      0,
      360,
      720
    ],
    "callerMaximumSpotRotationErrorDegrees": 10
  },
  "output": {
    "signedTorsoRpmBetweenSpots": [
      60,
      60
    ],
    "absoluteOneTurnErrorsDegrees": [
      0,
      0
    ],
    "spotIntervalsOutsideCallerOneTurnPolicy": []
  }
}

Limitations and assumptions

No wrapped-frame inference, head RPM, dizziness assessment or safe turn speed is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Viennese Waltz Rotations Per Bar Estimate: Unwrapped body orientations retain whole turns between observations. Signed rotations per bar depend on the actual bar interval. For a complementary task, use Facing NSEW Rotation Orientation Counter: Quarter-turn logs retain both final facing and whole-turn winding. N/E/S/W is a caller stage convention.

References

  1. Pirouette Spotting Rotation Rpm Estimate — tool.io

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