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== 11-limit optimizations of 31-EDO ==
== 11-limit optimizations of 31-EDO ==
=== Euler-product ===


{{Harmonics in cet|38.743026608201324738|columns=11|intervals=prime|title=Approximation of prime harmonics in 11-limit Euler-product (σ = 1.0) optimization of 31-EDO}}
{{Harmonics in cet|38.743026608201324738|columns=11|intervals=prime|title=Approximation of prime harmonics in 11-limit Euler-product (σ = 1.0) optimization of 31-EDO}}


{{Harmonics in cet|38.748558591979841975|columns=11|intervals=prime|title=Approximation of prime harmonics in 11-limit Tenney-Euclidian optimization of 31-EDO}}121-ED15 offers a good trade-off between these two optimization methods for 11-limit in 31-EDO.{{Harmonics in equal|121|15|1|columns=11|intervals=prime|title=Approximation of prime harmonics in 121-ED15}}
=== Tenney-Euclidian regular temperament ===
 
{{Harmonics in cet|38.748558591979841975|columns=11|intervals=prime|title=Approximation of prime harmonics in 11-limit Tenney-Euclidian optimization of 31-EDO}}
 
=== 121-ED15 is a good trade-off ===
 
121-ED15 offers a good trade-off between these two optimization methods for 11-limit in 31-EDO.
{{Harmonics in equal|121|15|1|columns=11|intervals=prime|title=Approximation of prime harmonics in 121-ED15}}