245edo

Revision as of 12:46, 24 March 2024 by FloraC (talk | contribs) (Review)
← 244edo 245edo 246edo →
Prime factorization 5 × 72
Step size 4.89796 ¢ 
Fifth 143\245 (700.408 ¢)
Semitones (A1:m2) 21:20 (102.9 ¢ : 97.96 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

245edo is only consistent to the 5-odd-limit. The equal temperament tempers out [-17 21 -7 and [19 10 -15 in the 5-limit; 6144/6125 and 16875/16807 in the 7-limit; 441/440, 4000/3993, 6912/6875, 14700/14641, 30375/30184 and 54675/54208 in the 11-limit.

Odd harmonics

Approximation of odd harmonics in 245edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.55 +0.63 +0.97 +1.80 +2.15 +1.92 -0.92 -2.10 +1.26 -0.58 -1.34
Relative (%) -31.6 +12.8 +19.8 +36.8 +43.9 +39.2 -18.8 -42.8 +25.8 -11.8 -27.3
Steps
(reduced)
388
(143)
569
(79)
688
(198)
777
(42)
848
(113)
907
(172)
957
(222)
1001
(21)
1041
(61)
1076
(96)
1108
(128)

Subsets and supersets

Since 245 factors into 5 × 72, 245edo has subset edos 5, 7, 35, and 49.