Pythagorean means

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Pythagorean means comprise:

In microtonal terms, the arithmetic mean is the intermediate harmonic, the inverse-arithmetic mean is the intermediate subharmonic, and the geometric mean is the equidistant pitch by cents. Thus the three means of 1/1 and 3/2 are 5/4, 6/5, and sqrt (3/2), respectively.

In math, the three means are known as arithmetic mean (AM), harmonic mean (HM), and geometric mean (GM) respectively. However, harmonic mean is said with respect to a length of string to be divided, and collides with the more common usage of harmonic, which is said with respect to frequency. For fear of confusion, those terms are avoided and inverse-arithmetic mean is preferred instead.