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Created page with "== 11-limit optimizations 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}}"
 
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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}}
=== 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}}
{{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 ===
[[121ed15|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}}
=== 90-ED15/2 ===
[[90ed15/2|90-ED15/2]] is another good option for helping the 11-limit.
{{Harmonics in equal|90|15|2|columns=11|intervals=prime|title=Approximation of prime harmonics in 90-ED15/2}}
=== 170-ED45 ===
[[170ed45|170-ED45]] is another good option for helping the 11-limit.
{{Harmonics in equal|170|45|1|columns=11|intervals=prime|title=Approximation of prime harmonics in 170-ED45}}
=== 80-ED6 ===
[[80ed6|80-ED6]] is another good option for helping the 11-limit.
{{Harmonics in equal|80|6|1|columns=11|intervals=prime|title=Approximation of prime harmonics in 80-ED6}}
=== 59-ED15/4 ===
[[59ed15/4|59-ED15/4]] is another good option for helping the 11-limit.
{{Harmonics in equal|59|15|4|columns=11|intervals=prime|title=Approximation of prime harmonics in 59-ED15/4}}