## 4 Results
### Example Patterns
#### 4.2.2 Case Study 2: Song Types  
Table 5 presents example patterns for Case Study 2, comparing different song types in the Chippewa repertoire. As for Case Study 1 above, the top ranked pattern for each of the studied interestingness measures was selected. The examples confirm the observations already supported by the mining results in the first case study: high completeness at the cost of low discriminant power is achieved by measures such as IC\({}^{++}\) (pattern B8) and utility (with \(a=2\), B4), while the Laplace estimate yields a top-ranked pattern with high discriminant power but low completeness (B6). In this case, the pattern ranked highest by utility (with \(a=0\), B2) shows higher completeness than in Case Study 1, but still has higher discriminant power than completeness. Similar to Case Study 1, highly discriminant patterns tend to be more specialized, comprising multiple features. Of these, the pattern ranked first by relative risk (B7) is the most complete; curiously, exactly this combination of features was also referenced by [PERSON] in her description of Chippewa moccasin game songs: \"Directness is shown in the accented beginnings of the songs and their endings on the tonic, but this is contradicted by the small percentage of songs containing a rhythmic unit\" [37] (p. 45). Among the features contributing to the other pattern for moccasin game songs listed in Table 5 (ranked highest by utility with \(a=0\), B2), individually, both the ending on the keynote and the absence of accidentals are highly characteristic (\(\Gamma=0.93\), with \(\Delta=0.36\) and \(\Delta=0.18\), respectively), and minor tonality is observed in a majority of moccasin game songs (\(\Gamma=0.79\), \(\Delta=0.62\)), as also pointed out by [PERSON]: \"In the analysis of these \begin{table}
\begin{tabular}{l l l l l l l} \hline \hline \multicolumn{1}{c}{**Measure**} & \multicolumn{1}{c}{**Class (Support)**} & \multicolumn{1}{c}{**Pattern (Support)**} & \multicolumn{1}{c}{\(\boldsymbol{n}(X\wedge C)\)} & \multicolumn{1}{c}{\(\boldsymbol{I}\)} & \multicolumn{1}{c}{\(\boldsymbol{\Gamma}\)} & \multicolumn{1}{c}{\(\boldsymbol{\Delta}\)} \\ \hline A1 typicality & Teton Sioux (240) & meterChange:yes (691) & 222 & 0.93 & 0.93 & 0.16 \\ A2 utility\({}_{a=0}\) & Papago (167) & material:major\_pentanotic, & 27 & 1.55 & 0.16 & 0.99 \\  & & firstNoteKey:fifth, lastNoteKey:fifth, & & & & \\  & & lastNoteReCompass:above\_lowest (28) & & & & \\ A3 utility\({}_{a=1}\) & Papago (167) & lastNoteReCompass:above\_lowest (269) & 149 & 0.33 & 0.89 & 0.82 \\ A4 utility\({}_{a=2}\) & Teton Sioux (240) & lastNoteReCompass:lowest, & 195 & 0.12 & 0.81 & 0.56 \\  & & meterChange:yes (456) & & & & \\ A5 novelty & Papago (167) & lastNoteReCompass:above\_lowest (269) & 149 & 0.11 & 0.89 & 0.82 \\ A6 Laplace & Chippewa (326) & tonality:major, structure:harmonic, & 56 & 0.93 & 0.17 & 0.99 \\  & & firstNoteKey:twelfth, & & & & \\  & lastNoteReKey:keynote (59) & & & & \\ A7 rel. risk & Papago (167) & lastNoteReCompass:above\_lowest (269) & 149 & 17.54 & 0.89 & 0.82 \\ A8 IC\({}^{++}\) & Teton Sioux (240) & lastNoteReCompass:lowest (566) & 209 & 0.19 & 0.87 & 0.40 \\ A9 F1 score & Papago (167) & lastNoteReCompass:above\_lowest, & 139 & 0.71 & 0.83 & 0.87 \\  & & meterChange:yes (226) & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Top-ranked patterns (by interestingness measure) in Case Study 1, with class support count \(n(C)\), pattern support count \(n(X)\), association support count \(n(X\wedge C)\), interestingness \(I\) (according to the respective interestingness measure), completeness \(\Gamma\), and discriminant power \(\Delta\). songs may be noted a large proportion in minor tonality [...]. Eighty-four per cent begin on, and all end on, either the tonic or dominant. [...] Only one song contains an accidental\" [37] (p. 44). In combination, the features are still shared by 57% of the moccasin game songs, but are also strongly discriminant for this group of songs when compared against Mide', war, dream, and love songs.