1783edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''1783edo''' divides the octave into 1783 equal parts of 0.673 cents each. It is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than anything until [[2513edo|2513]]. It tempers out the monzisma, | 54 -37 2 >; egads, | -36 -52 51 >; gross, | 144 -22 -47 >; and pirate, | -90 -15 49 >.
{{EDO intro|1783}}


{{Primes in edo|1783|prec=4}}
1783edo is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than anything until [[2513edo|2513]]. It tempers out the [[monzisma]], {{monzo| 54 -37 2}}; egads, {{monzo| -36 -52 51 }}; gross, {{monzo| 144 -22 -47 }}; and pirate, {{monzo| -90 -15 49 }}.


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
=== Prime harmonics ===
{{Harmonics in equal|1783|prec=4}}
 
=== Subsets and supersets ===
1783edo is the 276th [[prime edo]]. [[3566edo]], which doubles it, provides a good correction to the approximation of [[7/1|harmonic 7]].