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{{Infobox ET}}
{{Infobox ET}}
'''54EDF''' is the [[EDF|equal division of the just perfect fifth]] into 54 parts of 12.9992 [[cent|cents]] each, corresponding to 92.3136 [[edo]] (similar to every third step of [[277edo]]).
'''54EDF''' is the [[EDF|equal division of the just perfect fifth]] into 54 parts of 12.9992 [[cents]] each, corresponding to 92.3136 [[edo]] (similar to every third step of [[277edo]]).


== Harmonics ==
{{Harmonics in equal|54|3|2|intervals=prime}}
{{todo|expand}}
[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 04:00, 18 December 2024

← 53edf 54edf 55edf →
Prime factorization 2 × 33
Step size 12.9992 ¢ 
Octave 92\54edf (1195.92 ¢) (→ 46\27edf)
Twelfth 146\54edf (1897.88 ¢) (→ 73\27edf)
Consistency limit 3
Distinct consistency limit 3

54EDF is the equal division of the just perfect fifth into 54 parts of 12.9992 cents each, corresponding to 92.3136 edo (similar to every third step of 277edo).

Harmonics

Approximation of prime harmonics in 54edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -4.08 -4.08 -4.49 -2.04 -4.58 +5.19 -4.27 -1.84 +5.38 -5.95 -4.42
Relative (%) -31.4 -31.4 -34.6 -15.7 -35.3 +39.9 -32.8 -14.2 +41.4 -45.8 -34.0
Steps
(reduced)
92
(38)
146
(38)
214
(52)
259
(43)
319
(49)
342
(18)
377
(53)
392
(14)
418
(40)
448
(16)
457
(25)