274edo

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← 273edo 274edo 275edo →
Prime factorization 2 × 137
Step size 4.37956¢ 
Fifth 160\274 (700.73¢) (→80\137)
Semitones (A1:m2) 24:22 (105.1¢ : 96.35¢)
Consistency limit 7
Distinct consistency limit 7

274 equal divisions of the octave (abbreviated 274edo or 274ed2), also called 274-tone equal temperament (274tet) or 274 equal temperament (274et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 274 equal parts of about 4.38 ¢ each. Each step represents a frequency ratio of 21/274, or the 274th root of 2.

It is part of the optimal ET sequence for the maviloid, muscogee, neptune, no-3s valinorsmic, poseidon, prodigy and salacia temperaments.

Odd harmonics

Approximation of odd harmonics in 274edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.23 -0.91 -0.94 +1.93 +0.51 +0.35 -2.14 +0.15 +0.30 -2.17 -2.00
Relative (%) -28.0 -20.8 -21.5 +44.1 +11.6 +8.0 -48.8 +3.5 +6.8 -49.5 -45.6
Steps
(reduced)
434
(160)
636
(88)
769
(221)
869
(47)
948
(126)
1014
(192)
1070
(248)
1120
(24)
1164
(68)
1203
(107)
1239
(143)


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