Description
Wrap a signed beat position into a supplied rhythmic cycle.
Musical field records distinguish performer/community attribution, transcription and naming sources, cyclic beat coordinates and recorded permission. A public-access label is different from a reuse license, and a numerical timing residual is different from performance interpretation. Cultural context and actual consent remain tied to original sources.
Wrap a signed beat position into a supplied rhythmic cycle.
When to use this tool
Use Rhythmic Cycle Beat Phase when checking the stated public-record, timing, attribution or permission convention.
How to use the tool and how it works
- Enter beatPosition, beatsPerCycle. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read phaseBeats, phaseFraction. Use the output convention below.
Require beatsPerCycle>0. Reduce signed beatPosition modulo cycle length to [0,cycle), mapping numerical endpoint rounding to zero; return phase in beats and phase/cycle fraction.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| beatPosition | Beat Position | Required. Finite number. |
| beatsPerCycle | Beats Per Cycle | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| phaseBeats | Phase Beats | Required. Finite number. |
| phaseFraction | Wrapped phase beats/beatsPerCycle, a dimensionless [0,1) fraction. | Required. Finite number. |
{
"input": {
"beatPosition": 11.5,
"beatsPerCycle": 8
},
"output": {
"phaseBeats": 3.5,
"phaseFraction": 0.4375
}
}Limitations and assumptions
- Beat position and cycle length may be fractional; no tempo, meter, audio onset or musical tradition is inferred.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use original recordings and community/source conventions, with appropriate verified consent and rights review for actual interpretation, reproduction or sharing.
References
Similar or alternative tools
- Rhythmic Pattern Transcription Meter Token
Preserve a rhythmic transcription's stated meter token.
- Musical Pulse Timing Residual
Calculate a musical pulse's signed timing residual.