Pitch Relationships Are About Ratios, Not Simple Subtraction
Doubling frequency is one octave in music: 220 to 440 Hz and 440 to 880 Hz are the same octave relationship, even though the hertz differences are 220 and 440 respectively. Equal temperament divides an octave into 12 semitones and each semitone into 100 cents, making one octave exactly 1200 cents.
A positive result means sharp, a negative result means flat, and zero means the detected frequency matches the target. This unit describes a frequency ratio; it does not judge whether a voice sounds pleasant or represent all aspects of singing skill.
A Practical Calculation Example
Using the common A4 reference of 440 Hz as the target, a detected frequency of 445 Hz gives about +19.6 cents, while 435 Hz gives about −19.8 cents. The values are close in magnitude because their ratios relative to 440 Hz are similar.
If you use a raw hertz difference, the same ±5 Hz appears larger in a low register and smaller in a high register. Cents let a target range retain more consistent musical meaning across different octaves.
How to Understand FrostNote’s Target Range
FrostNote provides practice feedback using a target center line, a narrower “near center” zone, and a ±25-cent success zone. Hold progress increases only when a reliable pitch enters the success zone. This range is a gamified training choice: it gives beginners usable feedback while preserving whether the pitch is high or low.
| What You See | Possible Meaning | How to Interpret It |
|---|---|---|
| The Track Stays Above Center | This Vocalization Stays Sharp | Relax and Adjust Gradually; Do Not Force It Down |
| Crosses Above and Below the Center | Close on Average, but Not Stable Enough | Watch the Breath and Middle of Sustained Phonation |
| Occasional Large Jumps | Attack, Dropout, or Octave Error | Use Confidence; Do Not Judge a Single Point |
| No Trajectory at All | Insufficient Loudness or Periodicity Evidence | Check Permissions, Distance, and Environment First |
Cents Are Precise, but Human Hearing Has No Absolute Pass Line
Human sensitivity to pitch accuracy depends on timbre, loudness, duration, accompaniment, and training experience. Singing with vibrato should not be judged solely by whether a single frame sits at the center. Numbers are useful for observing trends and repeated practice, not for treating one deviation as a fixed ability.