Note To Hertz Calculator

Note to Frequency Formula:

\[ f = 440 \times 2^{(n-49)/12} \]

Frequency (f):

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1. What is the Note to Hertz Conversion?

The Note to Hertz conversion calculates the frequency of a musical note based on its MIDI note number, using the equal temperament tuning system with A4 = 440 Hz as the reference pitch.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f = 440 \times 2^{(n-49)/12} \]

Where:

\( f \) — Frequency in Hertz (Hz)
\( n \) — MIDI note number (0-127)
440 — Reference frequency for A4 (MIDI note 69)
49 — MIDI note number for A3 (one octave below A4)
12 — Number of semitones in an octave

Explanation: This formula calculates the frequency of any MIDI note relative to A4 = 440 Hz using the equal temperament system where each semitone represents a frequency ratio of 2^(1/12).

3. Importance of Frequency Calculation

Details: Accurate frequency calculation is essential for music production, instrument tuning, audio engineering, and digital signal processing applications.

4. Using the Calculator

Tips: Enter the MIDI note number (0-127) where A4 = 69. The calculator will return the corresponding frequency in Hertz.

5. Frequently Asked Questions (FAQ)

Q1: Why is A4 set to 440 Hz?
A: 440 Hz is the international standard for concert pitch, established in 1939 and widely adopted for musical instrument tuning.

Q2: What MIDI note number corresponds to middle C?
A: Middle C (C4) corresponds to MIDI note number 60.

Q3: Can I calculate frequencies for other tuning standards?
A: Yes, by modifying the base frequency. For A4 = 442 Hz, replace 440 with 442 in the formula.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for equal temperament tuning, which is the standard for most Western music.

Q5: What is the frequency range of MIDI notes?
A: MIDI note 0 = 8.18 Hz, MIDI note 127 = 12543.85 Hz, covering the full range of human hearing and beyond.