298edo: Difference between revisions

Eliora (talk | contribs)
Created page with "'''298 equal division''' divides the octave into steps of 4.027 cents each. == Theory == {{primes in edo|298|columns=18}}"
 
Eliora (talk | contribs)
No edit summary
Line 2: Line 2:


== Theory ==
== Theory ==
{{primes in edo|298|columns=18}}
{{primes in edo|298|columns=17}}
 
298edo has excellent representation of the 2.5.11.17.23.43.53.59 subgroup, with all the harmonics having errors of less than 10 rc. It is a double of [[149edo]], which is the smallest edo that is uniquely consistent within the [[17-odd-limit]]. It supports a 17-limit extension of [[Sensi]], 111 & 103 & 298.
 
In the patent val, 298edo tempers out 351/350, 561/560, 936/935, and 1156/1155 in the full 17-limit. In the 2.5.11.13.17 subgroup, it tempers out [[2200/2197]] and [[6656/6655]].
 
In the 2.5.11.17.23.43.53.59, 298edo tempers out 3176/3175, 3128/3125, 3128/3127, 32906/32065 and 76585/76582.
 
The [[concoctic]] scale for 298edo is a generator of 105 steps (paraconcoctic).