∞edo
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∞edo would be a tuning with an infinite number of notes. However, it would be impossible to use since intervals are spaced like the real numbers. This means ∞edo recreates all harmonics PERFECTLY. Even the smallest of intervals are recreateable. But, you can’t use it. Even if you go up 1 googolplex intervals, you would still have the same note. Unfortunately, no songs will ever use this tuning… probably.