Multi-scale harmonic model for solar and climate cyclical variation throughout the Holocene based on Jupiter-Saturn tidal frequencies plus the 11-year solar dynamo cycle

► Holocene-to-now solar dynamics is hindcast with Jupiter/Saturn/Schwabe harmonics. ► Holocene-to-now climate variability is reconstructed with the same harmonics. ► Major natural beat harmonics with period 61, 115, 130 and 983 years are discovered. ► Oort, Wolf, Sporer, Maunder and Dalton solar grand minima (ice-ages) are explained. ► A new grand solar minimum (climate cooling?) is expected to occur in 2020-2045 A.D.