16808edo: Difference between revisions

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The '''16808 equal division''' divides the octave into 16808 steps of size 0.071395 [[cent]]s each. It is distinctly consistent and highly accurate through the 35 limit, and can be used as a [[interval size measure|measure of interval size]] (the [[jinn]]) for most intervals which occur in practice. It is a very, very strong 31-limit division, and a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak]], [[zeta peak integer edo|zeta peak integer]], [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral]] and zeta gap tuning. In the [[23-limit|23]], [[29-limit|29]] and [[31-limit|31 limits]] it has the lowest logflat badness up until at least 200000; in the 19 limit it is beaten out by [[8539edo]], and in the 17 limit by [[72edo]], [[1506edo]], [[3395edo]] and [[7033edo]].

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			{{Infobox ET}}
	The '''16808 equal division''' divides the octave into 16808 steps of size 0.071395 [[cent]]s each. It is distinctly consistent and highly accurate through the 35 limit, and can be used as a [[interval size measure\|measure of interval size]] (the [[jinn]]) for most intervals which occur in practice. It is a very, very strong 31-limit division, and a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists\|zeta peak]], [[zeta peak integer edo\|zeta peak integer]], [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists\|zeta integral]] and zeta gap tuning. In the [[23-limit\|23]], [[29-limit\|29]] and [[31-limit\|31 limits]] it has the lowest logflat badness up until at least 200000; in the 19 limit it is beaten out by [[8539edo]], and in the 17 limit by [[72edo]], [[1506edo]], [[3395edo]] and [[7033edo]].		The '''16808 equal division''' divides the octave into 16808 steps of size 0.071395 [[cent]]s each. It is distinctly consistent and highly accurate through the 35 limit, and can be used as a [[interval size measure\|measure of interval size]] (the [[jinn]]) for most intervals which occur in practice. It is a very, very strong 31-limit division, and a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists\|zeta peak]], [[zeta peak integer edo\|zeta peak integer]], [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists\|zeta integral]] and zeta gap tuning. In the [[23-limit\|23]], [[29-limit\|29]] and [[31-limit\|31 limits]] it has the lowest logflat badness up until at least 200000; in the 19 limit it is beaten out by [[8539edo]], and in the 17 limit by [[72edo]], [[1506edo]], [[3395edo]] and [[7033edo]].