| 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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