We propose a new system for the fundamental units, which includes and goes beyond the present redefinition of the SI, by choosing also c=ħ=1 . By fixing c=c∘ m/s=1 , ħ=ħ∘ J s = 1 and μ∘_=μ∘ N/A =21 , it allows us to define the metre, the joule, and the ampere as equal to (1/ 299 792 458) s, (1/ħ∘=.948...×1034)s−1 and μ∘N=μ∘c∘/ħ∘s−1=1.890...×1018s−1 . It presents at the same time the advantages and elegance of a system with ħ=c=μ∘_=ϵ∘_=k=NA=1 , where the vacuum magnetic permeability, electric permittivity, and impedance are all equal to 1. All units are rescaled from the natural ones and proportional to the s, s −1 , s −2 , ... or just 1, as for the coulomb, ohm and weber, now dimensionless. The coulomb is equal to μ∘c∘/ħ∘=1.890...×1018 , and the elementary charge to e=1.602...×10−19C=4πα=.3028... . The ohm is equal to 1/μ∘c∘ so that the impedance of the vacuum is Z∘=376.730...Ω=1 . The volt is 1/μ∘c∘ħ∘s−1=5.017...×1015s−1 , and the tesla c∘V/m=c∘3/μ∘ħ∘s−2=4.509...×1032s−2 . The weber is 1/μ∘c∘ħ∘=5.017...×1015 . The flux quantum is Φ∘=h/2e=2.0678...×10−15 Wb =π/e=10.374... , with KJ=483597....GHz/V=e/π=.09639... , and RK=25812....Ω=1/2α≃68.518 . One can also fix e=1.602176634×10−19 C, at the price of adjusting the coulomb and all electrical units with μ∘=4π × 10−7η2 , where η2,∝α , is very close to 1.