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We determine by a one line computation the one-loop conformal dimension andthe associated non-anomalous finite size correction for all operators dual tospinning strings of rational type having three angular momenta (J_1,J_2,J_3) onS^5. Finite size corrections are conjectured to encode information about stringsigma model loop corrections to the spectrum of type IIB superstrings onAdS_5xS^5. We compare our result to the zero-mode contribution to the leadingquantum string correction derived for the stable three-spin string with two outof the three spin labels identical and observe agreement. As a side result weclarify the relation between the Bethe root description of three-spin stringsof the type (J,J',J') with respectively J>J' and J<J'.Comment: 15 pages, v2: comparison to string theory changed, references added,  v3: textual modifications and title change

Rational three-spin string duals and non-anomalous finite size effects