Harmonics & overtones
The harmonic series of any fundamental with nearest notes and deviations in cents.
Hz
1 – 64
Hz
| Harmonic | Overtone | Frequency | Nearest note | Deviation |
|---|---|---|---|---|
| 1 | fundamental | 110 Hz | A2 | +0.0 cents |
| 2 | 1 | 220 Hz | A3 | +0.0 cents |
| 3 | 2 | 330 Hz | E4 | +2.0 cents |
| 4 | 3 | 440 Hz | A4 | +0.0 cents |
| 5 | 4 | 550 Hz | C♯5 / D♭5 | −13.7 cents |
| 6 | 5 | 660 Hz | E5 | +2.0 cents |
| 7 | 6 | 770 Hz | G5 | −31.2 cents |
| 8 | 7 | 880 Hz | A5 | +0.0 cents |
| 9 | 8 | 990 Hz | B5 | +3.9 cents |
| 10 | 9 | 1100 Hz | C♯6 / D♭6 | −13.7 cents |
| 11 | 10 | 1210 Hz | D♯6 / E♭6 | −48.7 cents |
| 12 | 11 | 1320 Hz | E6 | +2.0 cents |
| 13 | 12 | 1430 Hz | F6 | +40.5 cents |
| 14 | 13 | 1540 Hz | G6 | −31.2 cents |
| 15 | 14 | 1650 Hz | G♯6 / A♭6 | −11.7 cents |
| 16 | 15 | 1760 Hz | A6 | +0.0 cents |
Harmonic n is n times the fundamental; the first overtone is the second harmonic. Highlighted deviations (over 15 cents) are where the natural series clearly departs from equal temperament.
How it works
Most pitched sounds contain whole-number multiples of their fundamental. Their strengths shape the timbre. The 7th, 11th and 13th harmonics fall noticeably between the notes of equal temperament.
Formulas
- f_n = n · f₁
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