One of the technical areas of piano tuning, the
temperament, is described below. This is more
information than some customers want.
However, if you are among those who love the
details, have a look below …
When a piano has been tuned using an equal temperament, the
octave intervals have been divided into smaller steps, each having
equal frequency ratios between the adjacent notes. These are the
smallest intervals in the scale. Each interval represents 1/12 of the
octave and are referred to as a semitone or half-step. In the modern
tempered scale, the frequency between each interval is perceived as
being the same distance apart.
Before studying piano technology, I had often wondered why
classical music often lists the key. For example "Piano Concerto in
A minor" or "Chopin's Piano Concerto in F minor." Why did these
classical composers care what key? The answer lies in the historical
temperaments of that era. There are many references to the
tempered scale, its history, and examples of the historical
temperaments. Importantly, there is no such thing as no
temperament (See Temperament Figure 1) in a piano tuning scale.
To accommodate the imperfections in the scale, some imperfection
must be built into the tuning. Various historical temperaments
cause a composition to sound different depending upon what key it
is played in. If played in a modern equal tempered scale, the
difference may be undetectable other than the relative pitch
reference. But in the original classical temperaments, the difference
is quite significant.
You can search on-line to find considerable information on
historical temperaments. If you want to hear the difference, you
can search on-line for "same song in historical temperaments" and
you may be able to listen to recordings for comparison. Below is a
very simple diagram to show why there must be a temperament for
the piano scale. If you search for more information, you will find
enough to keep you reading and listening for a while.
The Tempered Scale:
The piano temperament is a term in piano
tuning that refers to the intervals between
notes on the musical scale. Every pitch
can be derived, electronically or aurally
(by ear), from a relationship with a chosen
fixed pitch source. One of the first steps
in piano tuning is to set one string per
note, of at least one octave, to the desired
relationship with the other notes of the
scale. This establishes a basis for tuning
the remaining notes on the instrument.