202edo

Revision as of 09:58, 28 April 2023 by Francium (talk | contribs) (Added music section)
← 201edo 202edo 203edo →
Prime factorization 2 × 101
Step size 5.94059 ¢ 
Fifth 118\202 (700.99 ¢) (→ 59\101)
Semitones (A1:m2) 18:16 (106.9 ¢ : 95.05 ¢)
Consistency limit 9
Distinct consistency limit 9

The 202 equal temperament divides the octave into 202 equal parts of 5.941 cents each.

202et tempers out 2401/2400, 19683/19600 and 65625/65536 in the 7-limit, and 243/242, 441/440, 4000/3993 in the 11-limit. It also notably tempers out the quartisma. It is the optimal patent val for the 11-limit rank-2 temperaments harry and tertiaseptal, the rank-3 temperament jove tempering out 243/242 and 441/440, and the rank-4 rastmic temperament tempering out 243/242.

Approximation of prime harmonics in 202edo
Harmonic 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) -0.965 -0.175 -0.509 +1.157 -2.904 +1.975 -0.483 +1.429 -1.854 +1.499 -1.839
Relative (%) -16.2 -2.9 -8.6 +19.5 -48.9 +33.3 -8.1 +24.0 -31.2 +25.2 -31.0
Steps
(reduced)
320
(118)
469
(65)
567
(163)
699
(93)
747
(141)
826
(18)
858
(50)
914
(106)
981
(173)
1001
(193)
1052
(42)

Scales

Music

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