1448edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
The 1448 division divides the octave into 1448 equal parts of 0.8287 cents each. It is a strong 13-limit system, and if you don't care about 17, a terrific 2.3.5.7.11.13.19.23 system. It is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak]] edo, and provides the [[optimal patent val]] for [[donar]]. A basis for the 13-limit commas is {3025/3024, 4225/4224, 4375/4374, 140625/140608, 823680/823543}.
{{EDO intro|1448}}
 
The 1448edo is a strong 13-limit system, and if you do not care about 17, a terrific 2.3.5.7.11.13.19.23 [[subgroup]] system. It is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak]] edo, and provides the [[optimal patent val]] for [[donar]]. A basis for the 13-limit commas is {[[3025/3024]], [[4225/4224]], [[4375/4374]], 140625/140608, 823680/823543}.


=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|1448}}
{{Harmonics in equal|1448}}


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
=== Divisors ===
Since 1448 factors into 2<sup>3</sup> × 181, it has subset edos 2, 4, 8, 181, 362, and 724.
 
[[Category:Thor]]
[[Category:Donar]]