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Qualitative Observations

The frequency differences of notes played with and without vibrato are on the order of 10 cents and occur with both signs. If there is a systematic trend, it is not apparent. It is nevertheless interesting to note that the difference has the same sign for all pairs of the same note (if we discount 0 and -10).

We calculated the frequencies of all the notes with respect to their equal tempered values (column 3 of Table 3), and ran an ANOVA on these data with note and vibrato/non vibrato as variables. Significance at the p < .001 level was obtained for note, but no significance (p = .121) for vib/nv as anticipated from the data. This means that the frequency differences from equal temperament, or intonation of the individual notes, are more closely correlated than are the members of the sets of notes played with and those played without vibrato.

brown@
Fri Dec 2 17:58:49 EST 1994