143ed11: Difference between revisions
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== Theory == | == Theory == | ||
143ed11 is extremely strong in the 8.9.5.7.11.13.17.23 subgroup. All ratios in the 8.9.5.7.11.13.17.23 subgroup and 25-integer-limit are approximated in 143ed11 with less than 2.5 ¢ error. According to the finite Euler product with sigma = 1, the maxima in the 8.9.5.7.11.13.17.23 subgroup is about 41.33601-ED2 (or 29.03038 ¢). The Tenney–Euclidean regular temperement in the 8.9.5.7.11.13.17.23 subgroup mapped with [⟨124 131 96 116 143 153 169 187]] gives 41.33650-ED2 (or 29. | 143ed11 is extremely strong in the 8.9.5.7.11.13.17.23 subgroup. All ratios in the 8.9.5.7.11.13.17.23 subgroup and 25-integer-limit are approximated in 143ed11 with less than 2.5 ¢ error. According to the finite Euler product with sigma = 1, the maxima in the 8.9.5.7.11.13.17.23 subgroup is about 41.33601-ED2 (or 29.03038 ¢). The Tenney–Euclidean regular temperement in the 8.9.5.7.11.13.17.23 subgroup mapped with [⟨124 131 96 116 143 153 169 187]] gives 41.33650-ED2 (or 29.03004 ¢). The finite Euler product with sigma = 1/2 gives about the same result. 143ed11, with its size of about 41.33627-ED2 (or 29.03020 ¢), gives a simple, very near compromise between the different methods approaching 8.9.5.7.11.13.17.23 in this area. | ||
It serves as a slightly stretched version of [[96ed5]]. | It serves as a slightly stretched version of [[96ed5]]. | ||