This web app calculates the frequencies of partials in a harmonic or subharmonic series, and returns the results in a tab-delimited list ready for pasting into Excel.
Frequencies are calculated using the following formula: $f_{n}=f_{0}(s(n-1)+1){x}+\alpha$, where $f_{0}$ is the fundamental frequency, s is the Scaling Factor, n is the partial number, x is the Exponent and $\alpha$ is the Frequency Addition constant. If the ‘Subharmonics’ checkbox is ticked, however, then frequencies are calculated as: $f_{n}=\frac{f_{0}}{(s(n-1)+1){x}}-\alpha$
How to use
Set the fundamental frequency by either a) using the note name dropdown menu and octave or b) entering a frequency directly into the frequency box. Then set any desired ‘harmonic stretching’ parameters, and click ‘Calculate’ to generate tab-delimited output, music notation and spectrum. You can also export out to a MusicXML file.
Music Notation
Graph
* Note that Sibelius does not correctly import quartertones from MusicXML.