241ed49

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241ed49

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Prime factorization	241 (prime)
Step size	27.9571 ¢
Octave	43\241ed49 (1202.15 ¢)
Twelfth	68\241ed49 (1901.08 ¢)
Consistency limit	6
Distinct consistency limit	6

241 equal divisions of the 49th harmonic (abbreviated 241ed49) is a nonoctave tuning system that divides the interval of 49/1 into 241 equal parts of about 28 ¢ each. Each step represents a frequency ratio of 49^1/241, or the 241st root of 49.

Theory

241ed49 is similar to 43edo, but the octave is stretched by 2.15 ¢. Since the 7th harmonic is exactly halfway between 120 and 121 steps, this difference is the absolute maximum amount of octave stretch 43edo can tolerate before a discrepancy for the 7th harmonic occurs.