78005edo

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78005edo

78006edo →

Prime factorization	5 × 15601
Step size	0.0153836 ¢
Fifth	45630\78005 (701.955 ¢) (→ 9126\15601)
Semitones (A1:m2)	7390:5865 (113.7 ¢ : 90.22 ¢)
Consistency limit	21
Distinct consistency limit	21

78005EDO is the equal division of the octave into 78005 parts of 0.01538363 cents each. While it is distinctly consistent through the 21 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit relative error than any smaller EDO, and lower 5-limit TE logflat badness than any smaller EDO excepting 4296. It tempers out |232 -183 25>, |324 8 -145>, |92 191 -170>, |140 -374 195>, the selenia |-433 -137 280>, and the quark |-573 237 85>.