Werckmeister IV
Smoother key transitions compared to Werckmeister III; less dramatic key color.
Quick Facts
- Creator
- Andreas Werckmeister (1691)
- Historical Era
- Baroque
- Formula Type
- cent-offsets
- Key Advantage
- Smoother key transitions compared to Werckmeister III; less dramatic key color.
- Key Limitation
- Less frequently used historically; key character less pronounced than Werckmeister III.
- Typical Use
- Experimental Baroque repertoire and comparative well-temperament studies.
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
Well temperaments feature varied key color: keys near C major sound purer and more consonant, while distant keys (many sharps or flats) have more harmonic tension and a brighter, more chromatic character. This gives each key a distinctive musical affect, making well temperaments particularly suited to multi-key keyboard repertoire.
Werckmeister IV Frequency Table — All 12 Notes at A4=440Hz
| Note | Equal Temp. (Hz) | Werckmeister IV (Hz) | Cents from Equal | Tunable Offset |
|---|---|---|---|---|
| C4 | 261.626 | 262.899 | +8.40 | 0 |
| Db4 | 277.183 | 276.256 | -5.80 | -14.2 |
| D4 | 293.665 | 294.293 | +3.70 | -4.7 |
| Eb4 | 311.127 | 311.739 | +3.40 | -5 |
| E4 | 329.628 | 329.990 | +1.90 | -6.5 |
| F4 | 349.228 | 350.521 | +6.40 | -2 |
| Gb4 | 369.994 | 369.695 | -1.40 | -9.8 |
| G4 | 391.995 | 392.380 | +1.70 | -6.7 |
| Ab4 | 415.305 | 414.370 | -3.90 | -12.3 |
| A4 | 440.000 | 440.000 | 0.00 | -8.4 |
| Bb4 | 466.164 | 469.474 | +12.25 | 3.85 |
| B4 | 493.883 | 492.942 | -3.30 | -11.7 |
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
Werckmeister IV originates from the Baroque era, developed by Andreas Werckmeister (1691). It was primarily used for Experimental Baroque repertoire and comparative well-temperament studies..
Well temperaments emerged in the Baroque era as practical compromises between meantone purity and equal temperament flexibility. J.S. Bach's Well-Tempered Clavier (1722) may have been composed with a specific well temperament in mind.
Who Uses Werckmeister IV Today
Well temperaments are used today by harpsichordists, fortepiano players, and historically-informed keyboard performers. Many period instrument specialists choose specific well temperaments to match the repertoire being performed.
Tune with Werckmeister IV — Get Tunable.
Tunable supports Werckmeister IV and 17 other tuning systems including equal temperament, Pythagorean, just intonation, and well temperaments. See exact Hz values in real-time as you play.
