Research Article
A Study on Digital Analysis of Bach’s “Two-Part Inventions”
Table 1
Statistics of semitone spaces of adjacent pitches in Bach’s inventions (intervals bigger than 12 ignored); unit: %.
| Works | Intervals | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| No. 14 | 0.003 | 0.177 | 0.358 | 0.119 | 0.058 | 0.07 | 0.034 | 0.068 | 0.034 | 0.034 | 0.014 | 0.003 | No. 13 | 0.007 | 0.09 | 0.08 | 0.368 | 0.14 | 0.067 | 0.054 | 0.107 | 0.033 | 0.043 | 0.003 | 0.003 | No. 8 | 0.003 | 0.2 | 0.278 | 0.119 | 0.078 | 0.034 | 0.027 | 0.06 | 0.054 | 0.047 | 0.04 | 0.003 | No. 6 | 0.013 | 0.294 | 0.343 | 0.125 | 0.086 | 0.043 | 0.013 | 0.013 | 0.013 | 0.017 | 0.01 | 0.003 | No. 5 | 0.005 | 0.26 | 0.455 | 0.13 | 0.059 | 0.026 | 0.005 | 0.003 | 0.01 | 0.02 | 0.008 | 0.015 | No. 4 | 0.025 | 0.249 | 0.5 | 0.036 | 0.018 | 0.025 | 0.007 | 0.029 | 0.014 | 0.04 | 0.043 | 0.011 | No. 3 | 0.036 | 0.266 | 0.409 | 0.084 | 0.033 | 0.055 | 0.026 | 0.007 | 0.018 | 0.026 | 0.036 | 0.004 | No. 2 | 0.039 | 0.296 | 0.4 | 0.056 | 0.028 | 0.09 | 0.01 | 0.014 | 0.017 | 0.023 | 0.014 | 0.011 | No. 1 | 0.016 | 0.234 | 0.413 | 0.163 | 0.07 | 0.028 | 0.004 | 0.02 | 0.016 | 0.01 | 0.016 | 0.008 |
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