448edo

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← 447edo 448edo 449edo →
Prime factorization 26 × 7
Step size 2.67857¢ 
Fifth 262\448 (701.786¢) (→131\224)
Semitones (A1:m2) 42:34 (112.5¢ : 91.07¢)
Consistency limit 5
Distinct consistency limit 5

448 equal divisions of the octave (abbreviated 448edo or 448ed2), also called 448-tone equal temperament (448tet) or 448 equal temperament (448et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 448 equal parts of about 2.68 ¢ each. Each step represents a frequency ratio of 21/448, or the 448th root of 2.

Odd harmonics

Approximation of prime harmonics in 448edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.17 -0.60 +0.82 +0.47 +0.54 -0.49 -0.19 +1.19 -1.01 -1.29
Relative (%) +0.0 -6.3 -22.4 +30.5 +17.5 +20.3 -18.3 -7.2 +44.4 -37.5 -48.0
Steps
(reduced)
448
(0)
710
(262)
1040
(144)
1258
(362)
1550
(206)
1658
(314)
1831
(39)
1903
(111)
2027
(235)
2176
(384)
2219
(427)


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