446edo

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The 446 equal division divides the octave into 446 equal parts of 2.691 cents each. It tempers out 3136/3125 and 420175/419904 in the 7-limit, and provides the optimal patent val for the hemimean temperament tempering out 3136/3125, and sengagen, the 49&50 temperament. In the 11-limit it tempers out 9801/9800 and gives the optimal patent val for the 50&198 temperament.

Prime factorization: 2 × 223.