Quantifying the Integration of Traditional Music and Cultural Elements in Modern Informational Bel Canto Teaching and Optimizing Teaching Strategies

2018-2023 Shandong province 16 cities teaching integration coupling degree

City/year	2018	2019	2020	2021	2022	2023
Qingdao	0.904	0.899	0.911	0.926	0.950	0.962
Jinan	0.908	0.887	0.875	0.892	0.913	0.928
Weifang	0.914	0.896	0.916	0.927	0.939	0.943
Yantai	0.877	0.858	0.905	0.913	0.884	0.919
Weihai	0.844	0.891	0.937	0.895	0.883	0.864
Zibo	0.877	0.842	0.881	0.911	0.922	1.000
Linyi	0.885	0.909	0.892	0.899	0.924	0.948
Zaozhuang	0.961	0.859	0.893	0.879	0.980	0.898
Jining	0.826	0.853	0.829	0.847	0.909	0.916
Donying	0.893	0.905	0.938	0.914	0.950	0.961
Dezhou	0.594	0.626	0.805	0.893	0.903	0.955
Rizhao	0.848	0.895	0.899	0.885	0.887	0.895
Taian	0.907	0.864	0.848	0.905	0.926	1.000
Heze	0.910	0.876	0.885	0.897	0.949	0.932
Binzhou	0.880	0.878	0.881	0.872	0.918	0.939
Liaocheng	0.871	0.843	0.929	0.955	0.979	0.991

System coupling coordination and integration difference coefficient

Region	Integration difference coefficient	Coupling coordination degree
Central Shandong	0.2105	0.731
Northwest Shandong	0.3284	0.648
West Shandong	0.2245	0.612
Southwest Shandong	0.2516	0.717
Southeast Shandong	0.1882	0.565
Northeast Shandong	0.1775	0.741

Integration evaluation index system

Target layer	Criterion layer	Index layer
Traditional music element integrated into modern vocal music teaching (A)	Traditional music element integrated into vocal music teaching method (B1)	Traditional resonant mode in vocal music teaching (B11)
		Traditional singing method in vocal music teaching (B12)
		Traditional pronounce mode in vocal music teaching (B13)
		Traditional timbre control method in vocal music teaching (B14)
		Traditional rhythm feature in vocal music teaching (B15)
	Traditional music element integrated into vocal music teaching content (B2)	Traditional theme in vocal music teaching (B21)
		Traditional style in vocal music teaching (B22)
		Traditional imagery in vocal music teaching (B23)
		Traditional speech in vocal music teaching (B24)
		Traditional passage in vocal music teaching (B25)

Teaching integration index weight calculation results

Index	Entropy ej	Difference coefficient pj	Index weight wj
Traditional resonant mode in vocal music teaching (B11)	0.9121	0.1182	0.103
Traditional singing method in vocal music teaching (B12)	0.9345	0.1606	0.125
Traditional pronounce mode in vocal music teaching (B13)	0.8799	0.1211	0.124
Traditional timbre control method in vocal music teaching (B14)	0.8081	0.1613	0.076
Traditional rhythm feature in vocal music teaching (B15)	0.8708	0.1317	0.112
Traditional theme in vocal music teaching (B21)	0.9382	0.1852	0.106
Traditional style in vocal music teaching (B22)	0.9069	0.1466	0.093
Traditional imagery in vocal music teaching (B23)	0.9255	0.1331	0.104
Traditional speech in vocal music teaching (B24)	0.8848	0.0863	0.081
Traditional passage in vocal music teaching (B25)	0.8318	0.0875	0.076

The division of coupling coordination level

S	Coupling coordination level
0<S≤0.2	Extreme recession
0.2<S≤0.3	Severe recession
0.3<S≤0.4	Moderate disorder
0.4<S≤0.5	Mild disorder
0.5<S≤0.6	Reluctant coordination
0.6<S≤0.7	Primary coordination
0.7<S≤0.8	Good coupling
0.8<S≤1	High-quality coupling

2018-2023 Shandong province 16 cities teaching integration coupling coordination degree

City/year	2018	2019	2020	2021	2022	2023
Qingdao	0.408	0.494	0.529	606	0.758	0.903
Jinan	0.429	0.539	0.636	0.631	0.876	0.913
Weifang	0.420	0.509	0.541	0.622	0.755	0.886
Yantai	0.287	0.295	0.343	0.533	0.573	0.581
Weihai	0.546	0.538	0.598	0.634	0.672	0.685
Zibo	0.442	0.458	0.528	0.537	0.637	0.656
Linyi	0.372	0.442	0.506	0.552	0.465	0.573
Zaozhuang	0.484	0.472	0.575	0.695	0.667	0.741
Jining	0.518	0.486	0.566	0.638	0.658	0.722
Donying	0.263	0.349	0.394	0.488	0.519	0.565
Dezhou	0.463	0.477	0.506	0.518	0.543	0.592
Rizhao	0.321	0.383	0.374	0.416	0.471	0.524
Taian	0.554	0.539	0.623	0.638	0.766	0.786
Heze	0.370	0.398	0.447	0.463	0.501	0.575
Binzhou	0.346	0.399	0.381	0.518	0.541	0.567
Liaocheng	0.461	0.502	0.548	0.575	0.588	0.656