848edo

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← 847edo 848edo 849edo →
Prime factorization 24 × 53
Step size 1.41509 ¢ 
Fifth 496\848 (701.887 ¢) (→ 31\53)
Semitones (A1:m2) 80:64 (113.2 ¢ : 90.57 ¢)
Consistency limit 15
Distinct consistency limit 15

Template:EDO intro

848edo is consistent in the 15-odd-limit and contains the famous 53edo as a subset. In the 5-limit, it is a very strong system, which tempers out the Mercator's comma. It also tunes kwazy and provides the optimal patent val for the geb temperament.

In higher limits, it is a strong 2.3.5.13.23 system.

Prime harmonics

Approximation of prime harmonics in 848edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.068 +0.007 +0.514 +0.569 +0.038 -0.238 -0.343 +0.028 +0.611 -0.224
Relative (%) +0.0 -4.8 +0.5 +36.3 +40.2 +2.7 -16.8 -24.3 +1.9 +43.2 -15.8
Steps
(reduced)
848
(0)
1344
(496)
1969
(273)
2381
(685)
2934
(390)
3138
(594)
3466
(74)
3602
(210)
3836
(444)
4120
(728)
4201
(809)