3401edt: Difference between revisions

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{{Harmonics in equal|3401|3|1|intervals=prime}}  
{{Harmonics in equal|3401|3|1|intervals=prime}}  


3401edt is notable for being the denominator of a convergent to log<sub>3</sub>(7/3), after [[13edt]], [[35edt]], and [[153edt]], and the last before [[108985edt]], and therefore has an extremely accurate approximation to [[7/3]]. In fact, 3401edt demonstrates 16-strong 7-3 [[telicity]], even stronger than that of 153edt.
3401edt is notable for being the denominator of a convergent to log<sub>3</sub>(7/3), after [[13edt]], [[35edt]], and [[153edt]], and the last before [[108985edt]], and therefore has an extremely accurate approximation to [[7/3]], only about 5 ''micro''cents flat. In fact, 3401edt demonstrates 16-strong 7-3 [[telicity]], even stronger than that of 153edt.

Revision as of 11:37, 26 August 2024

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← 3400edt 3401edt 3402edt →
Prime factorization 19 × 179
Step size 0.559234 ¢ 
Octave 2146\3401edt (1200.12 ¢)
Consistency limit 4
Distinct consistency limit 4
Approximation of prime harmonics in 3401edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.116 +0.000 -0.210 +0.000 -0.124 -0.209 +0.086 -0.095 +0.211 -0.121 +0.182
Relative (%) +20.8 +0.0 -37.5 +0.0 -22.1 -37.4 +15.5 -16.9 +37.7 -21.7 +32.5
Steps
(reduced)
2146
(2146)
3401
(0)
4982
(1581)
6024
(2623)
7423
(621)
7940
(1138)
8771
(1969)
9115
(2313)
9707
(2905)
10424
(221)
10631
(428)

3401edt is notable for being the denominator of a convergent to log3(7/3), after 13edt, 35edt, and 153edt, and the last before 108985edt, and therefore has an extremely accurate approximation to 7/3, only about 5 microcents flat. In fact, 3401edt demonstrates 16-strong 7-3 telicity, even stronger than that of 153edt.