# 241edt

 ← 240edt 241edt 242edt →
Prime factorization 241 (prime)
Step size 7.89193¢
Octave 152\241edt (1199.57¢)
Consistency limit 14
Distinct consistency limit 14

241 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 241edt or 241ed3), is a nonoctave tuning system that divides the interval of 3/1 into 241 equal parts of about 7.89 ¢ each. Each step represents a frequency ratio of 31/241, or the 241st root of 3.

241edt is related to 152edo, but with the 3/1 rather than the 2/1 being just. The octave is about 0.4267 cents compressed and the step size is about 7.8919 cents. It is consistent to the 15-integer-limit, but not to the 16-integer-limit. In comparison, 152edo is only consistent up to the 12-integer-limit.

### Harmonics

Approximation of harmonics in 241edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -0.43 +0.00 -0.85 -0.46 -0.43 +1.03 -1.28 +0.00 -0.89 -0.16 -0.85
Relative (%) -5.4 +0.0 -10.8 -5.9 -5.4 +13.0 -16.2 +0.0 -11.3 -2.1 -10.8
Steps
(reduced)
152
(152)
241
(0)
304
(63)
353
(112)
393
(152)
427
(186)
456
(215)
482
(0)
505
(23)
526
(44)
545
(63)
(continued)
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +2.63 +0.60 -0.46 -1.71 +3.82 -0.43 +0.67 -1.32 +1.03 -0.59 +1.37
Relative (%) +33.3 +7.6 -5.9 -21.6 +48.5 -5.4 +8.5 -16.7 +13.0 -7.5 +17.4
Steps
(reduced)
563
(81)
579
(97)
594
(112)
608
(126)
622
(140)
634
(152)
646
(164)
657
(175)
668
(186)
678
(196)
688
(206)