11ed169/81

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11ed169/81

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Prime factorization	11 (prime)
Step size	115.749 ¢
Octave	10\11ed169/81 (1157.49 ¢) (semiconvergent)
Twelfth	16\11ed169/81 (1851.98 ¢) (semiconvergent)
Consistency limit	3
Distinct consistency limit	3

11 equal divisions of 169/81 (abbreviated 11ed169/81) is a nonoctave tuning system that divides the interval of 169/81 into 11 equal parts of about 116 ¢ each. Each step represents a frequency ratio of (169/81)^1/11, or the 11th root of 169/81.

6 steps of this temperament is an extremely close approximation of 81:121, having only 0.3% relative error. 11 steps is obviously 81:169, so 81:121:169 is well approximated, which represents the approximate 2:3:4 created by overtones of chimes.