20203edo

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← 20202edo

20203edo

20204edo →

Prime factorization	89 × 227
Step size	0.0593971 ¢
Fifth	11818\20203 (701.955 ¢)
Semitones (A1:m2)	1914:1519 (113.7 ¢ : 90.22 ¢)
Consistency limit	45
Distinct consistency limit	45

20203edo is a very strong high-limit system, and specializes in the 17- and 19-limit, with a lower 17- and 19-limit relative error than any smaller edo until 102557 and 128215, respectively. It is also distinctly consistent through the 45-odd-limit, and has a lower relative error than any smaller distinctly consistent 41-limit patent val except 17461. It tempers out 47151/47150, 52326/52325, 69875/69874, 81796/81795, 111112/111111, 127281/127280, 156520/156519, 315495/315491, 395200/395199, 728365/728364, 1324323/1324300, 1518804/1518803, and 3845961/3845920 in the 43-limit.

Prime harmonics

Approximation of prime harmonics in 20203edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	+0.0002	+0.0051	+0.0005	+0.0061	+0.0010	-0.0007	+0.0072	+0.0284	+0.0125	+0.0221
	Relative (%)	+0.0	+0.3	+8.7	+0.9	+10.3	+1.6	-1.2	+12.0	+47.8	+21.0	+37.2
Steps (reduced)		20203 (0)	32021 (11818)	46910 (6504)	56717 (16311)	69891 (9282)	74760 (14151)	82579 (1767)	85821 (5009)	91390 (10578)	98146 (17334)	100090 (19278)