FAST FIND FUNDAMENTAL METHOD

The present invention contains three methods for quickly deducing the fundamental frequency of a complex wave form or signal. One method uses the relationships among the frequencies of higher harmonics including ratios of frequencies, differences between frequencies, ratios of frequency differences, and relationships stemming from the fact that harmonic frequencies are modeled by functions of an integer variable whose values represent harmonic ranking numbers. Another method depicts the predicted/modeled relationships of the harmonics of selected frequency registers on logarithmic scales, records the frequencies of detected partials on like scales, and moves the scales searching for a match of harmonics. Possible harmonic ranking numbers and the implied fundamental frequency can be extracted directly from a match. By still another method, harmonic frequencies for a plurality of fundamentals are compared to partials linked to an unknown fundamental, and the unknown fundamental is deduced.