Description
Convert musical cents to a frequency multiplier.
Conversion direction matters for reciprocal and logarithmic quantities. Frequencies, periods, phase coordinates and reference ratios use explicit origins, sign policies and denominator units, rather than a single ordinary length or time multiplier.
Convert musical cents to a frequency multiplier.
When to use this tool
Use Cents To Frequency Multiplier when converting the stated reciprocal, angular, phase or logarithmic convention.
How to use the tool and how it works
- Enter cents. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read multiplier. Use the output convention below.
Convert musical cents to a frequency multiplier. multiplier = 2^(cents/1200), so 1200 cents doubles frequency.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| cents | Cents | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| multiplier | Multiplier | Required. Finite number. |
{
"input": {
"cents": 1200
},
"output": {
"multiplier": 2
}
}Limitations and assumptions
- This is a logarithmic interval convention; tuning reference, pitch perception and octave equivalence are not selected.
- 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 the complete unit and origin definitions, and distinguish a coordinate conversion from a density Jacobian or a physical measurement.
References
Similar or alternative tools
- acoustics/cents-to-ratio-converter
Frequency ratio corresponding to a signed interval in cents.
- music/cents-between-two-frequencies
Signed interval in cents from a positive reference frequency to a positive target frequency.