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Conclusion

The overall average of deviations from equal temperament (column 3 of Table 3) is -8.1 cents with a standard deviation of 10.7. The overall average of notes played without vibrato is -6 9 cents and with vibrato -10 12. So there is an upper bound of about 10 cents in the frequency control of the performer. Since the average vibrato peak to peak amplitude is 40 cents (See Table 2), this difference is sufficiently large that if the violist had aimed for the highest or lowest points of the frequency modulation, this would have shown up in the data. We can thus conclude that our results are consistent with the intended pitch of the performer being the mean of the vibrato.


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