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== Prerequisite Knowledge ==
== Prerequisite Knowledge ==
[[Hertz]], basic 12EDO Intervals, basic understanding of linear vs. exponential relationships
[[Hertz]]


== Overview ==
== Overview ==
[[File:Harmonic series intervals.png|alt=|thumb|600x600px|Harmonic Series]]
[[File:Harmonic series intervals.png|alt=|thumb|600x600px|Harmonic Series]]
The harmonic series describes a pattern of frequencies naturally occurring as a real, physical (not theoretical or psychoacoustic) phenomenon. This phenomenon can be observed in most sounds.
The harmonic series describes a pattern of frequencies naturally occurring as a real, physical (not theoretical or psychoacoustic) phenomenon. This phenomenon can be observed in many pitched sounds.


The '''fundamental''' is the lowest frequency (or '''partial''') in a given harmonic series. While the fundamental is generally the main audible pitch of a given sound, the harmonic series contains an infinitely proliferating sequence of higher partials called '''overtones'''. With practice, one can learn to hear and identify specific overtones:
The '''fundamental''' is the lowest frequency (or '''partial''') in a given harmonic series. While the fundamental is generally the main audible pitch of a given sound, the harmonic series contains an infinitely proliferating pattern of higher partials, which are called '''overtones'''. With practice, one can learn to hear and identify specific overtones:


[https://www.youtube.com/watch?v=hDLhe-NkH2A&ab_channel=mannfishh Learn to hear Harmonics!! (Intros to Just Intonation) by Mannfish]
[https://www.youtube.com/watch?v=hDLhe-NkH2A&ab_channel=mannfishh Learn to hear Harmonics!! (Intros to Just Intonation) by Mannfish]