∞edo
∞edo would be a tuning with a infinite number of notes. However, it would be impossible to use since intervals are spaced like numbers. This means ∞edo recreates all harmonics PERFECTLY. Even the smallest of intervals are recreateable. But, You cant use it. Even if you go up 1 googolplex intervals, you would still have 2 NEARLY perfect notes. Unfortunately, no songs will ever use this tuning.