If we listen for example to 500Hz and then to 2000Hz it sounds to our brain an unsatisfactory double octave. For example 2030 may sound much better. Also Pitch (what our brain feels) depends not only on frequency but on intensity (acoustic power of sound) too.
In short bass needs to be lower that theoretically expected and high notes higher.
This simple detail if followed with attention can make the difference between a cheap toy to the intonation of a good quality symphony orchestra.
A proposed way to tune even a simple electronic music instrument may be as follows:
We turn on the radio and tune to good quality and nice sounding music. Let's say it plays The Power of Love - Frankie goes to Hollywood.
We jam along on as many octaves as we can and we individually tune each note of each octave.
We try other pieces of music written in other keys etc. this helps complete the puzzle.
Intonation also depends on which key a piece of music is written.
An attempt for equal to brain temperament is the Pleiades equal temperament or tuning for each note. First developed for the DX7ii and then copied for the Kork Triton synthesizers.
The above method may prove more accurate as it is our brain judging in real conditions of jamming along with the best musicians and produced music on the planet.
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