Welcome to the Harmonic Calculator! It is very easy to use.
Simply put in the Base Frequency you want you use (such as 432 Hz,
440 Hz, or any other frequency that appeals to you), the number of
Notes you want to generate per octave, and click 'submit'. The
calculator will spit out a table of frequencies that you can use to
tune your instrument Harmonically.

For musicians, this calculator is ideal for tuning stringed
instruments that do not have frets (such as harps, hammer
dulcimers, ouds, violins, pianos, etc). Instrument makers can also use it as a tool to
assist in the creation of any type of harmonic instrument they wish to
create.

You may notice that different rows in the table are different
shades of green. The darker the shade, the more harmonic the
note is with the chosen Base Frequency & its octaves. The
"Harmonizes with..." column shows how quickly the note
Harmonizes with the Base Frequency / its octaves. Just for funzies,
if you click on that number, an exact graph showing how the wavelengths
harmonize will appear, to help with your visualization. The higher the number, the
lighter the shade of green, the less harmonic that note within the octave is with
the base frequency & its root tone for that octave.

For Example:

If your Base Frequency is 432 Hz, then that frequency is exactly
Harmonic with itself, so 432Hz "Harmonizes with" itself
in exactly one wavelength. But that's boring... here's a more
interesting example: 432Hz also Harmonizes with 648 Hz in
exactly 2 Wavelengths because 648 * 2 = 432 * 3. This would be
considered a strong harmonic by the ear, so it is shown in
a dark green color on the table.

By contrast, 612 Hz, takes 12 full waves to harmonize with 432
Hz, so is shown in a much lighter color.

Please note that the table shows how harmonic each note is with
the root tone for its octave, where the Octave is defined as the
doubling interval for the Base frequency. So (for example), if
your Base Frequency is 432Hz, once we get to the next Octave (@
864 Hz), we do not compare the notes in that octave to the
previous octave, we compare them to the current octave (which is
the proper thing to do... they will still be harmonic with notes
in the previous octave, but always a little longer than with the
current octave).

There are some Advanced options for generating Pythagorean tuning
intervals & seeing whether any Western notes are even close to the
Harmonic notes you are generating (hint: most are not). In fact,
this can be a really fun way to explore exactly how non-harmonic
contemporary Western tuning really is (hint: very... you're just
used to it.) Just wait until you get used to Harmonic Tuning...