Yes I included an attachment in the 6th post above. However, so much time has passed since I posted this, by this time, I found FLStudio and Harmor which allows me to use any music scale, you can see that at:
https://www.youtube.com/watch?v=f2CoqkRNdgo
and the theoretical basis for my scale at:
https://www.youtube.com/watch?v=gbK_V_7ivDA

Is the txt file there? I can not see it.

It would be great if mathematica could improve the time response for the PLAY command when using functions.

I know that by previously using the table command the time response is reduced, however I didn't find the way to use that in this dynamic case, I just have to directly use large piecewise functions within the play command.

I am attaching again the SYNTHESIZER code with some minor changes, just copy the contents, paste and run.

Attachments:

Excelent suggestion. Many thanks for your help,

Could you please share the code?

In the mean time, if you are willing to check the code and make some suggestions to improve this project, please kindly let me know your email address and I will send to you the whole code.

My webpage is: https://domingogomezmorin.wordpress.com

Thinking about this some more. For a continuous note, such as made by a violin or trumpet, it may be sufficient to know the harmonics and their amplitudes relative to the fundamental. That would not include non-continuous components, for example the sound of the trumpet note being initiated. However, for struck or plucked instruments, such as guitar or piano, we would want in addition to know a decay rate for the fundamental and each harmonic. Then a sampled sound list could be constructed from the fundamental.

I tried to do this for the midi sound for a guitar as produced by Mathematica by first analyzing the sound for the harmonics. But I found that many of the tools would not work. I saw no way to just get a simple list of sample amplitudes. I tried to use Periodogram, but it was not clear that the partition option could be used to get the spectral component values at a set of time-delayed windows, for fitting to exponential decays. Of course this is just about getting the characteristic -- I could record a guitar and analyze the result.

So I tried George's suggestion. I could indeed shift the frequencies of a 5 sec guitar note (E2). But when I compare the result of shifting E2 by 2x (1 octave) and E3, they are not the same pitch. I insert an image, since I am sure the boxes would be a mess as code:

It seems, you need to previously convert the sound into an audio file, that's the meaning of the command AudioPitchShift

According to the documentation, you can use any ratio. There are ways of adjusting the pitch by multiples of semitones, but you don't need to do this.

This 'technique' is a bit of a hack. What we really want to do is to use AudioGenerator with a suitable envelope (model). The documentation lists several models that are built-in. One promising one is to use a Time Series. You could create a function that would duplicate the harmonics and decays of any arbitrary sound. This is non-trivial, of course.

As I said, this is on my list of things to do.

SoundNote[] uses standard MIDI. By default, the pitches are Equal temperament, A = 440 hz. The MIDI standard allows you to alter the pitch, but I have found no (easy) way to do this.

MIDI should be an obsolete standard, mostly because it defaults to Western, equal tempered scales, which is really appropriate for Western (Eutorpean) music since 1760 or so. (Bach's Well-Tempered Clavier was written to exhibit the utility of a well-tempered scale, not equal temperament.) Indian, Chinese, and older Western Music (e.g. Baroque and Renaissance and before) use different scales.

Looking at the new audio functionality is on my list of things to do. I haven't checked this out, but you might be able to create an audio entity using SoundNote[], specifying the instrument, and then manipulate the pitch using AudioPitchShift[]. If that works, then you could wrote a function that would wrap up the code and have as an input one of the various MIDI instruments.

Hi Frank, It seems I didn´t explain my point as I should. I didn´t ask for sine-type waves.
I am looking for arbitrary chords using string-type sounds (piano, violin, guitar) at any frequency. That is, chords that do not follow the ratios of the musical notes of any existing musical scale. The frequencies of the sounds must be choosen at will directly using Herzt units (not musical notes).

So to do so, I would need either the wave equation for simulating the string-type sound along with the Play Command, or any existing mathematica program code (or commands). Got it? Many thanks in advanced for any help on this matter. I have been struggling on this for some time and I am frankly frustrated, I am not quite sure if mathematica has any synthesizer code that could help, or if there is any other synthesizers out there that could do the job.

The mathematica command SoundNote does not do the job, it only works with the frequencies of musical notes, not with any frequencies chosen at will