473edo

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← 472edo 473edo 474edo →
Prime factorization 11 × 43
Step size 2.537 ¢ 
Fifth 277\473 (702.748 ¢)
Semitones (A1:m2) 47:34 (119.2 ¢ : 86.26 ¢)
Consistency limit 3
Distinct consistency limit 3

Template:EDO intro

473edo is inconsistent to the 5-odd-limit with large errors on both harmonics 3 and 5. The equal temperament is most notable for tempering out the kleisma, 15625/15552, in the 5-limit and 5120/5103 in the 7-limit, providing the optimal patent val for the 7-limit countercata temperament.

Odd harmonics

Approximation of odd harmonics in 473edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.79 -0.69 +0.31 -0.95 -0.79 -0.78 +0.10 -0.94 -0.68 +1.10 +0.90
Relative (%) +31.3 -27.2 +12.1 -37.5 -31.1 -30.8 +4.1 -37.0 -27.0 +43.4 +35.5
Steps
(reduced)
750
(277)
1098
(152)
1328
(382)
1499
(80)
1636
(217)
1750
(331)
1848
(429)
1933
(41)
2009
(117)
2078
(186)
2140
(248)

Subsets and supersets

Since 473 factors into 11 × 43, 473edo contains 11edo and 43edo as subsets.