User:Fastaro/Generalized Pythagorean tuning: Difference between revisions

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      print(f'For x={x}, n={n}, the ratio q^n+1/p^x is: {ratio2}')
 </pre>
+For x=0, n=0, the ratio p^x/q^n is: 1.0000000000000000
+For x=0, n=0, the ratio q^(n+1)/p^x is: 2.0000000000000000
+For x=1, n=1, the ratio p^x/q^n is: 1.5000000000000000
+For x=1, n=1, the ratio q^(n+1)/p^x is: 1.3333333333333333
+For x=2, n=3, the ratio p^x/q^n is: 1.1250000000000000
+For x=2, n=3, the ratio q^(n+1)/p^x is: 1.7777777777777777
+For x=3, n=4, the ratio p^x/q^n is: 1.6875000000000000
+For x=3, n=4, the ratio q^(n+1)/p^x is: 1.1851851851851851
+For x=4, n=6, the ratio p^x/q^n is: 1.2656250000000000
+For x=4, n=6, the ratio q^(n+1)/p^x is: 1.5802469135802468
+For x=5, n=7, the ratio p^x/q^n is: 1.8984375000000000
+For x=5, n=7, the ratio q^(n+1)/p^x is: 1.0534979423868314
+For x=6, n=9, the ratio p^x/q^n is: 1.4238281250000000
+For x=6, n=9, the ratio q^(n+1)/p^x is: 1.4046639231824416
+For x=7, n=11, the ratio p^x/q^n is: 1.0678710937500000
+For x=7, n=11, the ratio q^(n+1)/p^x is: 1.8728852309099222
+For x=8, n=12, the ratio p^x/q^n is: 1.6018066406250000
+For x=8, n=12, the ratio q^(n+1)/p^x is: 1.2485901539399482
+For x=9, n=14, the ratio p^x/q^n is: 1.2013549804687500
+For x=9, n=14, the ratio q^(n+1)/p^x is: 1.6647868719199308
+For x=10, n=15, the ratio p^x/q^n is: 1.8020324707031250
+For x=10, n=15, the ratio q^(n+1)/p^x is: 1.1098579146132872
+For x=11, n=17, the ratio p^x/q^n is: 1.3515243530273438
+For x=11, n=17, the ratio q^(n+1)/p^x is: 1.4798105528177163
 == Implications and Applications ==
 The generalized Pythagorean tuning provides a more versatile framework for musical tuning, allowing composers and musicians to explore scales and harmonies beyond the traditional limits. This approach can lead to new musical expressions and better alignment with various musical traditions and instruments.