Equal Temperament vs. Neidhardt Temperament
Compare the tuning characteristics of Equal Temperament and Neidhardt Temperament — cent deviations per note, practical guidance, and historical context.
At a Glance
| Feature | Equal Temperament | Neidhardt Temperament |
|---|---|---|
| Category | equal | well-temperament |
| Formula Type | equal-division | cent-offsets |
| Historical Era | Modern | Baroque / Classical |
| Key Advantage | All 12 keys are equally in-tune — transpose freely without re-tuning. | Closest well-temperament to equal temperament — very flexible key use. |
| Key Limitation | Pure fifths (2 cents flat) and major thirds (14 cents sharp) are slightly impure in every key. | Minimal key color differentiation; the subtle differences may be inaudible on some instruments. |
| Typical Use | Standard tuning for all modern Western instruments since the 20th century. | Late Baroque through Classical repertoire where equal temperament proximity is preferred. |
Cent Deviations: All 12 Notes vs. Equal Temperament
Positive cents = sharper than equal temperament. Negative = flatter. Difference column shows Neidhardt Temperament minus Equal Temperament: positive means Neidhardt Temperament is sharper.
| Note | Equal Temperament (¢) | Neidhardt Temperament (¢) | Difference (¢) |
|---|---|---|---|
| C4 | 0.00 | +3.91 | +3.91 |
| Db4 | 0.00 | +1.96 | +1.96 |
| D4 | 0.00 | +1.96 | +1.96 |
| Eb4 | 0.00 | +3.91 | +3.91 |
| E4 | 0.00 | -1.96 | -1.96 |
| F4 | 0.00 | +5.87 | +5.87 |
| Gb4 | 0.00 | 0.00 | 0.00 |
| G4 | 0.00 | +1.96 | +1.96 |
| Ab4 | 0.00 | +1.96 | +1.96 |
| A4 | 0.00 | 0.00 | 0.00 |
| Bb4 | 0.00 | +3.91 | +3.91 |
| B4 | 0.00 | -1.96 | -1.96 |
When to Choose Each
Choose Equal Temperament when:
Choose Equal Temperament for modern ensembles, fixed-pitch instruments (piano, guitar, wind instruments), and any music that modulates freely across all 24 keys. It is the universal standard for contemporary Western music.
Choose Neidhardt Temperament when:
Choose Neidhardt Temperament for Baroque keyboard repertoire spanning multiple keys — especially works that tour the circle of fifths. Its varied key color gives each tonality a distinctive musical character.
Historical Context
Well temperaments emerged in the Baroque era as practical compromises enabling all 24 keys, while Equal Temperament achieved true key equality only in the 20th century. J.S. Bach's Well-Tempered Clavier (1722) may have been composed with a specific well temperament — not equal temperament — in mind.
- Equal Temperament
- Developed by Theoretical development (12-TET standardized c. 1900) — Modern era
- Neidhardt Temperament
- Developed by Johann Georg Neidhardt (1724) — Baroque / Classical era
Compare Temperaments in Tunable — Get Tunable.
Tunable supports Equal Temperament, Neidhardt Temperament, and 14 other tuning systems. Hear the difference in real-time as you play.
