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Broecker, C. Franzke, T. Haszpra, T. Kuna, N. Maher, S. Milinski, and T. Tel for useful remarks and discussions. GD is thankful to B. Stevens, T. Mauritsen, Y. Takano, andN. Maher for providing access to the output of the MPI-ESM ensembles. The authors also wish to thank the Climate Data Gateway at NCAR for providing access to the output of the CESM-LE. The constructive feedback from three reviewers is greatly acknowledged, most importantly their suggestion of considering an SST-based index, beside the sea-level-pressure-based SOI, to represent ENSO. TB wishes to thank Kyung-Sook Yun for sharing with him some of the preprocessed observational data used in Yun and Timmermann (2018) and pointing him to other data sources. Funding: The simulations for the MPIRCP8.5E were supported by the H2020 grant for the CRESCENDO project (Grant 641816). MH is thankful for the great support of the DFG Cluster of Excellence CliSAP. This research was supported by the National Research, Development and Innovation Office, NKFIH, underGrants PD124272, K125171, and FK124256. GDwas supported by the Ministerio de Economia, Industria y Competitividad of the Spanish Government under Grant LAOP CTM2015-66407-P (AEI/FEDER, EU), and by the European Social Fund under CAIB grant PD/020/2018 ``Margalida Comas''. TB, VL, and FL were supported by the YH2020 grants for the CRESCENDO (Grant 641816) and Blue-Action (Grant 727852) projects. VL has been supported by the DFG Sfb/Transregio TRR181 project. 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