Comparison of the bell data with five tuning models
The models, given in Cent values for single and cumulative intervals, are:
1) Phytagorean (phyt)
D E F G A C
0 204 204 90 294 204 498 204 702 294 996
2) Just intonation (just)
D E F G A C
0 182 182 134 316 182 498 204 702 316 1018
3) 12-tone equal temperament (12ET)
D E F G A C
0 200 200 100 300 200 500 200 700 300 1000
4) 1/3 komma mean-tone temperament (1/3ko)
D E F G A C
0 190 190 126 316 190 505 190 695 316 1010
5) Equally tempered fifths CGDAE of 696.2 tuned from D, based on pure minor third D-F (696.2)
D E F G A C
0 192 192 123 316 188 504 192 696 311 1008
Results of statistical analysis:
1) Phytagorean tuning must definitely be excluded as a model for the bell casters (p<0.002).
2) 12-tone equal temperament is highly improbable as a model (p<0.05).
3) The best-fitting model is "Equally tempered fifths CGDAE of 696.2 tuned from D, based on pure minor third D-F".
4) Just intonation and 1/3 komma mean-tone also fit the data, but the detailed results suggest
that they are less probable than the best-fitting model.
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