1106edo: Difference between revisions

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The '''1106 division''' is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]] which divides the octave into 1106 parts of 1.805 cents each. It is strong as a 7-limit system; the only edos lower than it with a lower 7-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] being 171, 270, 342, 441 and 612. It is even stronger in the 11-limit; the only ones being it out now being 270, 342 and 612. It is less strong in the 13 and 17 limits, but even so is distinctly consistent through the 17 limit.
{{EDO intro|1106}}


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
1106edo is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]]. It is strong as a 7-limit system; the only edos lower than it with a lower 7-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] being {{EDOs| 171, 270, 342, 441 and 612 }}. It is even stronger in the 11-limit; the only ones beating it out now being {{EDOs| 270, 342 and 612 }}. It is less strong in the 13 and 17 limits, but even so is distinctly [[consistent]] through the [[17-odd-limit]].
 
=== Prime harmonics ===
{{Harmonics in equal|1106}}
 
=== Divisors ===
Since 1106 factors into 2 × 7 × 79, it has subset edos {{EDOs| 2, 7, 14, 79, 158, and 553 }}.