1361edo

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← 1360edo 1361edo 1362edo →
Prime factorization 1361 (prime)
Step size 0.881705 ¢ 
Fifth 796\1361 (701.837 ¢)
Semitones (A1:m2) 128:103 (112.9 ¢ : 90.82 ¢)
Consistency limit 17
Distinct consistency limit 17

Template:EDO intro

Theory

1361edo is consistent in the 17-odd-limit, tempering out 3025/3024, 1716/1715, 2500/2499, 4225/4224, 57375/57344 and 3536379/3536000. Using the 2.3.5.13.17.43 subgroup, it tempers out 2925/2924. It supports galaxy and geb.

Prime harmonics

Approximation of prime harmonics in 1361edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.118 -0.127 +0.167 -0.253 -0.263 -0.033 -0.379 +0.381 +0.254 +0.299
Relative (%) +0.0 -13.4 -14.4 +19.0 -28.6 -29.8 -3.7 -42.9 +43.2 +28.8 +33.9
Steps
(reduced)
1361
(0)
2157
(796)
3160
(438)
3821
(1099)
4708
(625)
5036
(953)
5563
(119)
5781
(337)
6157
(713)
6612
(1168)
6743
(1299)

Subsets and supersets

1361edo is the 218th prime edo.

Regular temperament properties

Subgroup Comma List Mapping Optimal
8ve Stretch (¢)
Tuning Error
Absolute (¢) Relative (%)
2.3 [-2157 1361 [1361 2157]] 0.0373 0.0373 4.23
2.3.5 [-31 43 -16, [-67 -9 35 [1361 2157 3160]] 0.0431 0.0315 3.57
2.3.5.7 703125/702464, 14348907/14336000, [37 2 -4 -11 [1361 2157 3160 3821]] 0.0174 0.0522 5.92
2.3.5.7.11 3025/3024, 759375/758912, 14348907/14336000, 262766592/262609375 [1361 2157 3160 3821 4708]] 0.0285 0.0517 5.86
2.3.5.7.11.13 3025/3024, 1716/1715, 4225/4224, 91125/91091, 131107977/131072000 [1361 2157 3160 3821 4708 5036]] 0.0356 0.0498 5.65
2.3.5.7.11.13.17 3025/3024, 1716/1715, 2500/2499, 4225/4224, 57375/57344, 3536379/3536000 [1361 2157 3160 3821 4708 5036 5563]] 0.0317 0.0471 5.34