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tokens: We acknowledge the dedicated team behind the Kepler and K2 missions, without whom this work would not have been possible. We thank Daniel Huber and Benoit Mosser for useful comments on an earlier version of the paper. MNL acknowledges the support of The Danish Council for Independent Research | Natural Science (Grant DFF-4181-00415). MNL was partly supported by the European Community's Seventh Framework Programme (FP7/2007-2013) under grant agreement no. 312844 (SPACEINN), which is gratefully acknowledged. Funding for the Stellar Astrophysics Centre (SAC) is provided by The Danish National Research Foundation (Grant DNRF106). The research was supported by the ASTERISK project (ASTERoseismic Investigations with SONG and Kepler ) funded by the European Research Council (Grant agreement no.: 267864). WJC, GRD, and AM acknowledge the support of the UK Science and Technology Facilities Council (STFC). SB acknowledges partial support from NASA grant NNX13AE70G and NSF grant AST-1514676. AMS is partially supported by grants ESP2014-56003-R and ESP2015-66134-R (MINECO). VSA acknowledges support from VILLUM FONDEN (research grant 10118). RAG acknowledges the support from the ANR program IDEE (n. ANR-12-BS05-0008) and the CNES. DWL acknowledges partial support from the Kepler mission under Cooperative Agreement NNX13AB58B with the Smithsonian Astrophysical Observatory. This research has made use of the Washington Double Star Catalog maintained at the U.S. Naval Observatory; the WEBDA data base, operated at the Department of Theoretical Physics and Astrophysics of the Masaryk University; and the SIMBAD data base, operated at CDS, Strasbourg, France.