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.
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.


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->

Revision as of 22:07, 4 October 2022

← 1105edo 1106edo 1107edo →
Prime factorization 2 × 7 × 79
Step size 1.08499 ¢ 
Fifth 647\1106 (701.989 ¢)
Semitones (A1:m2) 105:83 (113.9 ¢ : 90.05 ¢)
Consistency limit 17
Distinct consistency limit 17

The 1106 division is a 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 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.