245edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''245edo''' is the [[EDO|equal division of the octave]] into 245 parts of 4.897959 [[cent]]s each.  It tempers out 30958682112 / 30517578125 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.
{{EDO intro}}
 
It tempers out 30958682112 / 30517578125 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.


{{Harmonics in equal|245}}
{{Harmonics in equal|245}}
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 02:28, 28 January 2024

← 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

It tempers out 30958682112 / 30517578125 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.


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)