Syncopation Swing Ratio Eighth Calculator

Actual independently annotated swung subdivision timing pairs and pooled duration ratio, not prescribed swing or style identity. Caller independently establishes score/style/protocol/reference applicability; not physical readiness, safe training or injury risk diagnosis.

Description

Swing timing compares the two subdivisions between successive beats.

Swing timing compares the two subdivisions between successive beats.^[1]

Pooling their durations gives a ratio that differs from an unweighted average of pair ratios. Use Syncopation Swing Ratio Eighth Calculator to evaluate the supplied inputs under the specific model below.

When to use Syncopation Swing Ratio Eighth Calculator

Use Syncopation Swing Ratio Eighth Calculator to evaluate the supplied inputs under the specific model below. Establish the units, measurement scope and applicable model or recipe assumptions before entering values.

How to use Syncopation Swing Ratio Eighth Calculator and understand its results

Establish the units, measurement scope and applicable model or recipe assumptions before entering values.
Enter Observed pair start times seconds, Observed offbeat times seconds, Observed next beat times seconds using the field table and validation rules below, then run the tool.
Read Observed long short ratios, Pooled long short ratio and interpret units, signs, ordering and placeholders as explained below.
If the tool reports an input error, correct that field and rerun. A successful false result, empty match list or unknown-evidence placeholder has the specific meaning described here; check the limitations before applying the result.

Input field	Meaning	Value type	Requirement
observedPairStartTimesSeconds	Observed pair start times seconds	array of number	Required; constraints below
observedOffbeatTimesSeconds	Observed offbeat times seconds	array of number	Required; constraints below
observedNextBeatTimesSeconds	Observed next beat times seconds	array of number	Required; constraints below

Enter aligned nonempty finite first-onset, offbeat-onset and next-onset arrays. Each offbeat must be strictly after the first onset and strictly before the next. Divide the first interval by the second for each pair, then divide the sum of first intervals by the sum of second intervals for the pooled ratio. The first interval is not required to be longer; a ratio below 1 is valid. All timestamps are in seconds and must share one observation convention.

ratio[i] = (offbeat−first)/(next−offbeat); pooled = ΣfirstIntervals/ΣsecondIntervals

Field order, units and branch conditions follow the implementation explanation above.

Output field	Meaning	Value type
observedLongShortRatios	Observed long short ratios	array of number
pooledLongShortRatio	Pooled long short ratio	number

json

{
  "input": {
    "observedPairStartTimesSeconds": [
      0,
      1
    ],
    "observedOffbeatTimesSeconds": [
      0.6666666666666666,
      1.75
    ],
    "observedNextBeatTimesSeconds": [
      1,
      2
    ]
  },
  "output": {
    "observedLongShortRatios": [
      1.9999999999999998,
      3
    ],
    "pooledLongShortRatio": 2.4285714285714284
  }
}

Limitations and assumptions

Pooling their durations gives a ratio that differs from an unweighted average of pair ratios. Apply the exact scope and assumptions described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are stated above; extremely large inputs or outputs can also be rejected. These errors differ from successful results such as false, no matches or unknown evidence.

Alternative or Complementary methods

Use Polyrhythm 3-against-2 Clap Grid Generator for a related task: Three-against-two polyrhythm places different pulse divisions within one shared cycle.

Use Bpm To Counts Per Minute Converter for a related task: Movement counts per minute depend on the number of counts assigned to each notated beat.

References

Syncopation Swing Ratio Eighth Calculator — tool.io

Similar or alternative tools

Polyrhythm 3-against-2 Clap Grid Generator
Three-against-two polyrhythm places different pulse divisions within one shared cycle.
Bpm To Counts Per Minute Converter
Movement counts per minute depend on the number of counts assigned to each notated beat.