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Table 1.

The mapping relationship from Z to Z’.

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Table 2.

The mapping relationship from θ to θ’.

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Table 2 Expand

Fig 1.

Sample data of Yue opera character tone melodies Ki(θ’ = 0).

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Fig 2.

Linear interpolation dimension expansion algorithm flowchart.

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Fig 3.

Compare data after dimensionality expansion with original sample.

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Fig 4.

Extraction of tone trend feature θ’.

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Fig 5.

The flowchart of FCM QPSO.

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Fig 6.

Performance comparison between QPSO and PSO.

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Fig 7.

The tonal trends associated with the eight-character tunes in Yue opera.

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Table 3.

The outcomes of these clustering methods.

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Table 3 Expand

Fig 8.

The cross-correlation values corresponding to the different dimensions of the eight-character tune categories in Yue Opera.

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Fig 9.

Mitigation of uncertainty disturbance in Yue opera character tone trends.

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Fig 10.

The algorithm flow for modeling the pitch contours of Yue opera phonemes.

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Fig 11.

Detection algorithm table for modeling the phonetic characteristics of Yue opera.

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Fig 12.

Test result.

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