Tristimulus (audio)

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The concept of tristimulus originates in the world of colour, describing the way three primary colours can be mixed together to create a given colour. By analogy, the musical tristimulus measures the mixture of harmonics in a given sound, grouped into three sections. The first tristimulus measures the relative weight of the first harmonic; the second tristimulus measures the relative weight of the 2nd, 3rd, and 4th harmonics taken together; and the third tristimulus measures the relative weight of all the remaining harmonics.

T1 = \frac{a_1}{\sum_{h=1}^{H}{a_h}}
T2 = \frac{a_2 + a_3 + a_4}{\sum_{h=1}^{H}{a_h}}
T3 = \frac{\sum_{h=5}^{H}{a_h}}{\sum_{h=1}^{H}{a_h}}


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