12348edo: Difference between revisions

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{{Infobox ET|Consistency=41|Distinct consistency=41}}
'''12348edo''' is a remarkable very high limit equal temperament, [[EDO|dividing the octave equally]] into 12348 parts of 0.0971817 [[cent]]s each. It is [[consistent]] through the [[41-limit]] distinctly, tempering out 17205/17204, 25025/25024, 28861/28860, 44955/44954, 47125/47124, 52326/52325, 83657/83655, 89376/89375, 866133/866125, 1183455/1183424, 1843155/1843072, and 4629625/4629474.
'''12348edo''' is a remarkable very high limit equal temperament, [[EDO|dividing the octave equally]] into 12348 parts of 0.0971817 [[cent]]s each. It is [[consistent]] through the [[41-limit]] distinctly, tempering out 17205/17204, 25025/25024, 28861/28860, 44955/44954, 47125/47124, 52326/52325, 83657/83655, 89376/89375, 866133/866125, 1183455/1183424, 1843155/1843072, and 4629625/4629474.


[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->
[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->

Revision as of 22:22, 4 October 2022

← 12347edo 12348edo 12349edo →
Prime factorization 22 × 32 × 73
Step size 0.0971817 ¢ 
Fifth 7223\12348 (701.944 ¢)
Semitones (A1:m2) 1169:929 (113.6 ¢ : 90.28 ¢)
Consistency limit 41
Distinct consistency limit 41

12348edo is a remarkable very high limit equal temperament, dividing the octave equally into 12348 parts of 0.0971817 cents each. It is consistent through the 41-limit distinctly, tempering out 17205/17204, 25025/25024, 28861/28860, 44955/44954, 47125/47124, 52326/52325, 83657/83655, 89376/89375, 866133/866125, 1183455/1183424, 1843155/1843072, and 4629625/4629474.