Baoli writes: > When we check the inharmonicity, any tuning machine > simply assume that the first partial(fundamental) has > none inharmonicity. In the real world, any > partial,including the fundamental, has > imharmoniucity. In other words, the tuning machine check > the "relative inharmonicity", not the real one. That is true. But you can calculate the "real" inharmonicity from the relative ones if you use the model described in "The Calculating Technician" by David Roberts: Offset(cents) = K * n * n where n is the partial number and K is the inharmonicity constant. Suppose for example that you have the offsets for the fundamental and the second partial: Offset1 = K * 1 * 1 Offset2 = K * 2 * 2 From this we get K = (Offset2-Offset1) / 3. Knowing K, we can now say that the offset of the fundamental due to inharmonicity is K. And all we needed to get this conclusion was (Offset2-Offset1) which is a relative measurement of the kind that tuning machines do make. Robert Scott Ypsilanti, Michigan
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