Pitch

What it is

Pitch is how high or low a note sounds, determined by the frequency at which something vibrates. Use the free chromatic tuner to check yourself on this. More of this kind of thing is in the acoustics section.

More vibrations per second means higher pitch. Frequency is measured in hertz, cycles per second.

The A above middle C is conventionally 440 Hz, meaning the string vibrates 440 times per second.

What determines pitch on a string

Three properties, and a player manipulates two of them.

Length. A shorter vibrating length produces a higher pitch. This is what the left hand does: pressing a string against the fingerboard shortens the vibrating portion and raises the pitch.

Halving the length raises the pitch by an octave. This is why the octave harmonic sits at the string's midpoint.

Tension. A tighter string vibrates faster and sounds higher. This is what tuning does.

Mass per unit length. A heavier string vibrates more slowly and sounds lower. This is why the G string is thicker than the E: at the same length and similar tension, the extra mass produces a lower pitch.

A maker chooses string mass so that all four strings can be at comfortable and similar tension while producing pitches a fifth apart.

Why A is 440

It is a convention, agreed internationally in the twentieth century, and it has not always held.

Historical pitch varied enormously by place and period. Baroque pitch was commonly around 415, roughly a semitone lower than modern. Some regions used higher pitches; church organs often set local standards that everyone else matched.

Even after standardisation, practice varies. Some orchestras tune to 442 or 443 for a brighter, more brilliant sound. Period ensembles deliberately use historical pitches.

The practical consequence for a player: a violin tuned to 440 and a period ensemble at 415 are not compatible, and instruments set up for one are not simply retuned to the other. String tension and setup differ.

Pitch and intonation

Pitch is the physical property. Intonation is the skill of producing the right one.

On a fretted instrument, pitch is largely determined by the instrument. On a violin it is determined entirely by finger placement, which is why intonation is the central technical challenge.

A millimetre of finger displacement in first position is a noticeable pitch error. In seventh position, the same millimetre is a much larger error, because the string length is shorter.

This is why high positions demand more precision and why students find them harder.

Absolute and relative pitch

Absolute pitch, sometimes called perfect pitch, is the ability to identify or produce a specific pitch without a reference. It is uncommon and appears to be largely determined by early musical exposure.

Relative pitch is the ability to identify intervals and to place a pitch correctly relative to a reference. It is learnable, it is what most musicians rely on, and it is what matters for violin playing.

A violinist with excellent relative pitch and no absolute pitch will play in tune. Absolute pitch is a convenience rather than a requirement, and some players with it find ensemble playing at non-standard pitches actively uncomfortable.

Pitch and temperament

A complication worth knowing.

Equal temperament divides the octave into twelve equal semitones, which allows keyboard instruments to play in any key. It is a compromise: no interval except the octave is acoustically pure.

Pure intervals, derived from the harmonic series, sound better in isolation but do not permit free modulation.

String players are not bound by equal temperament and routinely adjust. A leading tone may be played slightly high to lean toward its resolution. A third in a chord may be played slightly low to match the harmonic series.

This is called expressive intonation, and it is one of the advantages of a fretless instrument.

How it is taught

Pitch as a concept comes early and simply: higher and lower, and how the finger changes it.

The physical explanation, that shorter means higher, is worth giving because it makes the fingerboard make sense rather than being a set of memorised positions.

The temperament discussion comes much later and only for students who are ready for it, but it explains why a violinist and a pianist can both be in tune and still disagree, which students notice long before anyone explains it.

The millimetre problem

Worth quantifying, because it explains why high positions are so much harder.

In first position on the A string, a semitone spans roughly two centimetres. A two millimetre finger error is about a tenth of a semitone: audible but survivable.

In seventh position, the same semitone spans perhaps eight millimetres. The identical two millimetre error is now a quarter of a semitone, which is unmistakably out of tune.

The finger has not become less accurate. The tolerance has shrunk.

This is why high-position practice must be slower and more deliberate, and why students who apply first-position habits up the fingerboard play consistently sharp.

Pitch standards in practice

If a student ever plays with a period ensemble or an early music group, they will encounter a different A.

An instrument set up at 440 does not simply retune to 415. String tension changes, the setup is different, and gut strings behave differently from synthetics.

This rarely affects a student, but it explains why period specialists keep separate instruments rather than adjusting one.

Questions about tone and sound production are the kind that get answered quickly in person. Private and group violin lessons in Alpharetta, Duluth, Dunwoody and Marietta: call 470-789-2422 or book a no-commitment evaluation lesson.