If one may indulge in melodrama, one might refer to "The Curse of Equal Temperament" when commenting on the method of tuning that steadfastly refuses to take into account the relationship between an instrument, its music and player. "Equal" is tuning for the sake of tuning, done by successive generations of tuners who practice their craft exactly the way they were taught to do it, no questions asked. And the whole business has been cast in cement by electronic tuning devices--ETDs--in widespread use today!
Looking back over the past two centuries, we can take note of several events that contributed to this situation. They include the invention of tuning forks, the industrial revolution (with its myriad of factories that produced musical instruments) and the emergence of ETDs such as the Conn Strobotuner.
Tuning forks as we know them appeared in the early 1800s. Their fixed pitch enabled a reference to specific frequencies for tuning of musical instruments; tuning practices previously had varied widely by region and nationality. Tuning forks were a valuable resource for the stabilization of tuning everywhere. By the end of the 19th century, they were used for temperament tuning in the great piano houses such as Broadwood and Moore.
The turn of the 19th to the 20th century was surely the golden age of the piano, and in North America the houses of Steinway and Heintzman represented a pinnacle of musicality and at the same time promoted the artisanship of factory craftsmen unparalled in our own times. The revival of the organ as an "authentic" instrument would wait some fifty years, and with it the same emphasis on tuning as an integral part of a musical instrument.
Thinking back on the piano and its artists of the early twentieth century, one can reflect on the incredible tuning of these instruments, made for Rubinstein, Horowitz, Richter, Gilels and so many others. Pianism was almost a cult, and the tuners who worked on these instruments behind the scenes contributed a rare form of art to the piano. They defined its sound, its carrying power and its musicality as surely as the artists who played it so superbly.
With the revival of the tracker organ, tuning once again became an integral aspect of the musicality of these instruments. Temperament is most carefully thought out by artisan organ builders today with or without the help of tuning machines.
Machines? Yes, the same tuning devices that began with tuning strobes evolved into electronic displays of one sort or another, as varied as one might imagine. To some extent, they displaced "aural" tuning, so highly valued within the community of piano tuners and technicians. Unfortunately, some tuning practitioners passed "go" on the Monopoly board and skipped ear training by jumping into machine tuning as a quick means to an end. However, fine tuners the world over incorporated tuning devices into their tool kit as important aids to the musical ear that was already hard at work. It is this kind of practitioner that exemplifies the best in the tuning business.
The "curse" of machine tuning is that it implies that equal tuning is mathematically precise, and that the ear is irrelevant to the outcome of setting a temperament. Semantics are everything, and it is something of an understatement to say that "equal" tuning is not at all equal! An artistic tuning, whether in a baroque temperament for Bach cantatas or a modern tuning for a Rachmaninoff piano concerto, is anything but equal. It is what the music demands. A marvelous example is the use of the Vallotti temperament for performances of Beethoven's "Emperor" Piano Concerto. Yes, it works very well. One can only marvel at the work of the world's best piano tuners on the concert stage. The tuner's ear is alive and well in our finest recordings and live concerts--as it should be in the presentation of our finest pipe organs.
The "blessing" of machine tuning is that it provides the opportunity to record "best" tunings for various instruments and occasions--for tuning devices are not only tone generators of various pitches with an array of mathematical relationships, they are recorders, too. They make possible the quantification of any kind of tuning, from pianos to organs to gamelans. They are, in a sense, the power that destroyed some important aspects of tuning by ear, but they are also the force that brings back aural tuning. This is a happy conundrum that should be exploited for all it is worth.
The tuning device as recorder provides the opportunity to use temperament in an artistic manner to give expression to the best qualities of an instrument (and sometimes, to suppress the worst ones). For example, a concert grand piano in a large hall derives carrying power from vibrations generated within the temperament, as well as the soundboard and case of the instrument. For this reason, mild temperaments with more- and less-pure thirds benefit these pianos if they are speaking in a vibrant hall. On the other hand, a pure temperament can go a long way to smooth out a small piano with short strings that are full of false beats. Try that on your spinet in the choir room. You will be amazed at the improvement in sound!
Some practical considerations for the tuner
For the benefit of the reader who is truly interested in investigating the benefits of 19th-century (or earlier) temperaments with the help of machine tuning, this last of three articles will be devoted to the practical application of tuning techniques. Since it is widely available at low cost, the ETD (Electronic Tuning Device) of choice will be Robert Scott's TuneLab97 software, available at <www.tunelab-world.com>. A basic computer and sound card are also required. With this tuning program, there will be a set of historical temperaments that offer a wide range of options for the tuner. Temperament files are extremely simple. They are notated in cents deviation from an equal distribution in this manner:
Representative Victorian Temperament (Moore)
C 2.5
Cs 0.0
D 1.5
Ds 1.0
E -1.5
F 2.0
Fs -0.5
G 3.0
Gs 0.5
A 0.0
As 1.5
B -1.0
Armed with this modification to equal proportional tuning, the tuner can proceed to lay bearings for a temperament. Fear not! I am not going to give the reader blow-by-blow instructions on how to tune. But it is important to note that most tuning failures result from tempering the wrong intervals first! Therefore, with this temperament one can follow the practice of using F, A and Cs tuning forks to divide the circle of fifths into manageable portions, so that one will not choke on a cumulative error. In this case, A and Cs may be set from tuning forks A=440 and Cs=277.18. "A" is used to embark on the white notes in the circle of fifths, and Cs is used for the black notes. As a rule of thumb, the intervals involving black notes are tuned first, pure or nearly so, and the intervals involving white notes are tempered and tuned last. Follow that rule, and you will avoid the trap of "reverse well" tuning.
The tuning fork F=349.23 completes the triad of foundation notes. In well-tempered tuning, "F" will be raised to provide the desired effect of the third F-A. Generally, the F-A and C-E triads will determine the nature of the well-temperament desired, whether mild, moderate or intense, as in the baroque temperaments. This is where the sound and character of the instrument and its music come in.
If one is tuning "equal" temperament, the thirds F-A-Cs¢-F¢-A¢ provide a very useful octave and a third in which to lay the bearings. These thirds will increase their vibrations as they ascend. This is one of the tests used in setting equal temperament. Conversely, in laying well-tempered bearings, the thirds will alternate in vibrancy between white and black keys. F-A will be slower than equal, A-Cs will be the same as equal (13.7 cents wide), Cs-F will be faster than equal, and once again, F¢-A¢ will be slower than equal. So far, the only adjustment has been to sharpen "F" to make a relatively slow third F-A.
Once this has been accomplished, one should tune Cs-Fs-B relatively pure and Cs-Gs-Ds-As-F relatively pure, monitoring the computer screen while one tunes these notes. Then, tune A-E-B and A-D-G-C-F relatively tempered, while monitoring each note on the computer screen. This will provide well tempered bearings, while applying tuning tests to the process. There will be little chance of a cumulative error of any significance.
Since the tuner is applying aural tests as well as reading a computer screen or a dial tuner to monitor progress, this work can be carried out at the organ console or the inside of the organ case, or preferably both. A tuner's assistant can do much more than hold keys. It is very helpful if they monitor an ETD while the tuning is in progress. This prevents errors and speeds up the tuning.
Which temperament to use?
There are literally hundreds of temperaments from which to choose, so it is very useful for each tuner to develop criteria which work for them. Several points are worth consideration.
It is most helpful to adopt a temperament that allows equidistant bearings for the tuning of a circle of fifths. The F-A-Cs method provides this option in both well and equal tempered tunings.
Another consideration is the provision of various degrees of purity within a related group of well tunings. An example of three temperaments that progress from mild to moderate are Moore, Peter Prelleur, and Young (1799). All are based on zero deviation in cents for the notes A and Cs, and increased purity for the triads C-E-G, F-A-C and G-B-D.
One may take into consideration the balance of triads in a symmetrical or non-symmetrical array. A symmetrical array of triads will increase vibrancy in direct proportion to the number of accidentals in each key. Asymmetrical triads will favor certain keys and are more consistent with harpsichord tunings where temperaments are chosen for specific literature.
Blessing or curse: from anathema to good fortune
If one looks upon machine tuning as a curse for its illogical suppression of musical values (modulation being the first victim), the descendants of strobo-tuners must bear a heavy burden of resentment. However, the computer and its dedicated mechanical brethren have rescued those who still tune by ear by providing the means to record their "best" tunings, and experiment with the most musical tunings for each instrument. Credit must be given to a significant group within the Piano Technicians Guild for their unflagging efforts to promote both aural tuning and the use of unequal, "well" and nearly-equal temperaments. A review of the comments of these technicians reveals a dedication to musical performance that stands as an inspiration to organ technicians and tuners as well. Commendation and approbation is also well deserved by artisan organ builders who have often stood alone in a sea of indifference by insisting that temperament and tuning are significantly related to each musical instrument they produce. There are many organ builders who will not resign their instruments to "ordinary tuning and care," but who steadfastly maintain their own instruments so that among other things, the tuning will be preserved. Bravo (!) to these dedicated builders.
