268edo

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← 267edo 268edo 269edo →
Prime factorization 22 × 67
Step size 4.47761¢ 
Fifth 157\268 (702.985¢)
Semitones (A1:m2) 27:19 (120.9¢ : 85.07¢)
Consistency limit 3
Distinct consistency limit 3

268 equal divisions of the octave (abbreviated 268edo or 268ed2), also called 268-tone equal temperament (268tet) or 268 equal temperament (268et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 268 equal parts of about 4.48 ¢ each. Each step represents a frequency ratio of 21/268, or the 268th root of 2.

It is part of the optimal ET sequence for the cypress, lono, skwares and warrior temperaments.

Prime harmonics

Approximation of prime harmonics in 268edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +1.03 -1.24 -1.66 -0.57 +1.26 -1.97 -1.99 -1.41 +0.27 +1.23
Relative (%) +0.0 +23.0 -27.7 -37.1 -12.8 +28.2 -44.0 -44.5 -31.5 +6.1 +27.5
Steps
(reduced)
268
(0)
425
(157)
622
(86)
752
(216)
927
(123)
992
(188)
1095
(23)
1138
(66)
1212
(140)
1302
(230)
1328
(256)


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