Escapement Impulse Rate

Compare detent, duplex, and natural-escapement impulse rates from the balance beat rate without conflating beat and full oscillation.

Description

Escapement impulse rate depends on impulses per full oscillation, which spans two balance beats.

Escapement impulse rate depends on impulses per full oscillation, which spans two balance beats. Different escapements use different beat-to-impulse factors.1

Compare detent, duplex, and natural-escapement impulse rates from the balance beat rate without conflating beat and full oscillation.

When to use Escapement Impulse Rate

Use this tool to compare detent, duplex, and natural-escapement impulse rates from the balance beat rate without conflating beat and full oscillation.

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 Escapement Impulse Rate and understand its results

  1. Choose a supported reference focus or prepare the watch measurements, evidence and explicit limits requested. Confirm units and date conventions before running.
  2. Enter balanceBeatsPerHour, escapement using the field table and calculation rules, then run the tool.
  3. Read beatsPerImpulse, description, impulsesPerHour. 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
balanceBeatsPerHourBalance beats per hourinteger; minimum: 1Required
escapementEscapement impulse patternstring; one of "detent", "duplex", "natural"Required

Enter positive safe integer beats/hour and detent, duplex or natural. Use factor two for detent/duplex and one for natural; return factor, description and rate. Odd rates are accepted here.

impulsesPerHour=beatsPerHour/beatsPerImpulse

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

Output fieldMeaningValue type
beatsPerImpulseBeats per impulsenumber; minimum: 1
descriptionImpulse patternstring
impulsesPerHourImpulses per hournumber; minimum: 0.5
json
{
  "input": {
    "balanceBeatsPerHour": 18000,
    "escapement": "detent"
  },
  "output": {
    "beatsPerImpulse": 2,
    "description": "one impulse per full two-beat oscillation",
    "impulsesPerHour": 9000
  }
}

Limitations and assumptions

No actual escapement, energy transfer or timing behavior is measured.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Extremely large text inputs are rejected. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Detent Escapement Impulse Rate: Calculate the single-impulse rate of a detent escapement, which delivers one impulse per full two-beat balance oscillation. For a complementary task, use Four Five Hertz High Beat Comparison Lookup: Return explicit 4 Hz and 5 Hz frequencies plus Grand Seiko's power-reserve, longevity, accuracy, and high-beat terminology cautions.

References

  1. Escapement Impulse Rate — tool.io

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