18355edo: Difference between revisions

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The 18355 division divides the octave into 18355 equal parts of 0.065377 cents each. It is an extremely strong 7-limit division, with a lower [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any division until [[84814edo|84814]], and a lower [[Tenney-Euclidean_metrics#Logflat TE badness|TE logflat badness]] than any besides [[171edo|171]] and [[3125edo|3125]].
The 18355 division divides the octave into 18355 equal parts of 0.065377 cents each. It is an extremely strong 7-limit division, with a lower [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any division until [[84814edo|84814]], and a lower [[Tenney-Euclidean_metrics#Logflat TE badness|TE logflat badness]] than any besides [[171edo|171]] and [[3125edo|3125]].



Revision as of 22:25, 4 October 2022

← 18354edo 18355edo 18356edo →
Prime factorization 5 × 3671
Step size 0.0653773 ¢ 
Fifth 10737\18355 (701.956 ¢)
Semitones (A1:m2) 1739:1380 (113.7 ¢ : 90.22 ¢)
Consistency limit 15
Distinct consistency limit 15

The 18355 division divides the octave into 18355 equal parts of 0.065377 cents each. It is an extremely strong 7-limit division, with a lower relative error than any division until 84814, and a lower TE logflat badness than any besides 171 and 3125.

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