Just Intervals?

Bradley M. Snook bsnook@pacbell.net
Wed, 08 May 2002 13:27:49 -0700


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M3 (5/4=1.25)
m3 (6/5=1.2)

EQT
M3 = 1.259
m3 = 1.189

This means that a just M3 is smaller than EQT, and just m3 is larger than EQT.

Yes, a just interval is generally defined as an interval without beats, but it is really much more complicated that; the overtones are actually what determines if and interval sounds just or not.

Sure, a spectrum analysis shows the composite sound of any given sample. In this case, the two fundamentals are much larger in amplitude in relation to the overtones. Stepwise movement can be measured by taking note of each frequency. The G# - A is 1.065, a very small halfstep in relation to the just m2(1.14), and slightly larger than the EQT m2(1.059). But remember that the placement of both G# and A are in relation to the sounding B.

Bradley

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