Perfect 5ths
Near-equal temperament with a slightly lowered D for a purer D-A fifth.
Quick Facts
- Creator
- Tunable app
- Historical Era
- Modern
- Formula Type
- cent-offsets
- Key Advantage
- Near-equal temperament with a slightly lowered D for a purer D-A fifth.
- Key Limitation
- Virtually identical to equal temperament — the 2-cent adjustment on D is subtle.
- Typical Use
- Musicians who want near-equal tuning with a marginally improved fifth on D.
Mathematical Basis
This well temperament distributes the Pythagorean comma unevenly across the circle of fifths, giving pure or near-pure intervals in closely-related keys while making distant keys progressively more tempered.
Sound Character
Perfect 5ths Frequency Table — All 12 Notes at A4=440Hz
| Note | Equal Temp. (Hz) | Perfect 5ths (Hz) | Cents from Equal | Tunable Offset |
|---|---|---|---|---|
| C4 | 261.626 | 261.626 | 0.00 | 0 |
| Db4 | 277.183 | 277.183 | 0.00 | 0 |
| D4 | 293.665 | 293.326 | -2.00 | -2 |
| Eb4 | 311.127 | 311.127 | 0.00 | 0 |
| E4 | 329.628 | 329.628 | 0.00 | 0 |
| F4 | 349.228 | 349.228 | 0.00 | 0 |
| Gb4 | 369.994 | 369.994 | 0.00 | 0 |
| G4 | 391.995 | 391.995 | 0.00 | 0 |
| Ab4 | 415.305 | 415.305 | 0.00 | 0 |
| A4 | 440.000 | 440.000 | 0.00 | 0 |
| Bb4 | 466.164 | 466.164 | 0.00 | 0 |
| B4 | 493.883 | 493.883 | 0.00 | 0 |
Frequencies in Hz at A4=440Hz. Positive cents = sharper than equal temperament. Negative = flatter. Formula: f = f_equal × 2(cents/1200)
Tunable Offset shows the cent values in Tunable's custom temperament format (C=0 reference). To enter this temperament manually: Settings → Tuner → Alternate Temperament → Add → enter these 12 values.
Historical Context
Perfect 5ths originates from the Modern era, developed by Tunable app. It was primarily used for Musicians who want near-equal tuning with a marginally improved fifth on D..
Who Uses Perfect 5ths Today
Tune with Perfect 5ths — Get Tunable.
Tunable supports Perfect 5ths and 17 other tuning systems including equal temperament, Pythagorean, just intonation, and well temperaments. See exact Hz values in real-time as you play.
