54edf: Difference between revisions

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Created page with "'''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..."
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'''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]]).
{{Infobox ET}}
'''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]]).


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

Latest revision as of 19:23, 1 August 2025

← 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)


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