Fun Fact : 251hz Is Very Close To Middle C

c4 = 261.63hz
b3 = 246.94hz

its b3 27.94% sharp
251 hz is b3 + 28 cents

---

Determining if 251 Hz is a Sharp B3

The Problem

Determine whether 251 Hz represents a sharp B3 note by calculating its position between the standard frequencies of B3 (246.94 Hz) and C4 (261.63 Hz).

Step-by-Step Calculation

1. Identify the Reference Frequencies

• B3 = 246.94 Hz
• C4 = 261.63 Hz

2. Calculate the Distance Between Notes

The full semitone distance between B3 and C4:

Semitone Range = 261.63 Hz - 246.94 Hz = 14.69 Hz

3. Calculate the Distance From B3 to Our Target

Target Distance = 251 Hz - 246.94 Hz = 4.06 Hz

4. Calculate the Percentage Position

Position Percentage = (Target Distance ÷ Semitone Range) × 100%
Position Percentage = (4.06 Hz ÷ 14.69 Hz) × 100% = 27.64%

5. Convert to Cents

In musical terms, one semitone equals 100 cents. To convert our percentage to cents:

Cents from B3 = Position Percentage × 100 cents
Cents from B3 = 27.64% × 100 cents = 27.64 cents

Conclusion

251 Hz is a B3 note that is approximately 27.64 cents sharp. Since this is less than 50 cents (which would be halfway to C4), we can properly describe it as a "slightly sharp B3" rather than a flat C4.

Formula Summary

To find where a frequency falls between two reference notes:

1. Calculate the semitone range: HigherFrequency - LowerFrequency
2. Calculate the target distance: TargetFrequency - LowerFrequency
3. Calculate the position percentage: (TargetDistance ÷ SemitoneRange) × 100%
4. Convert to cents: PositionPercentage × 100 cents