347edo
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The 347 equal temperament divides the octave into 347 equal parts of 3.458 cents each. It tempers out 3136/3125 and 420175/419904 in the 7-limit, and provides an excellent tuning for the temperament tempering out both, the 49&50 temperament, and the planar hemimean temperament tempering out 3136/3125.