# 238edo

 ← 237edo 238edo 239edo →
Prime factorization 2 × 7 × 17
Step size 5.04202¢
Fifth 139\238 (700.84¢)
Semitones (A1:m2) 21:19 (105.9¢ : 95.8¢)
Consistency limit 3
Distinct consistency limit 3

238 equal divisions of the octave (abbreviated 238edo or 238ed2), also called 238-tone equal temperament (238tet) or 238 equal temperament (238et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 238 equal parts of about 5.04 ¢ each. Each step represents a frequency ratio of 21/238, or the 238th root of 2.

## Theory

### Prime harmonics

Approximation of prime harmonics in 238edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -1.11 +1.92 -0.76 -1.74 +1.49 +0.93 -0.03 +1.98 -1.01 -0.50
Relative (%) +0.0 -22.1 +38.1 -15.0 -34.5 +29.5 +18.4 -0.7 +39.2 -19.9 -9.9
Steps
(reduced)
238
(0)
377
(139)
553
(77)
668
(192)
823
(109)
881
(167)
973
(21)
1011
(59)
1077
(125)
1156
(204)
1179
(227)

## Intervals

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