Fractional-octave temperaments: Difference between revisions

However, an equal division does not have to be harmonically decent to be a wireframe for a fractional-octave temperament. If an equal division has multiples which are high in consistency or are zeta equal divisions or otherwise harmonically strong, it can produce a lot of such temperaments - notable examples being [[20edo]] or [[32edo]]. Likewise, proximity of a step of equal division to a comma is often a source of these temperaments - for example [[56edo]]'s step being directly close to [[81/80]], and 44edo's step being extremely close to [[64/63]].

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|[[2nd-octave temperaments|2]]

|[[3rd-octave temperaments|3]]

|[[4th-octave temperaments|4]]

|[[5th-octave temperaments|5]]

|[[6th-octave temperaments|6]]

|[[7th-octave temperaments|7]]

|[[8th-octave temperaments|8]]

|[[9th-octave temperaments|9]]

|[[10th-octave temperaments|10]]

|[[11th-octave temperaments|11]]

|[[12th-octave temperaments|12]]

|[[13th-octave temperaments|13]]

|[[14th-octave temperaments|14]]

|[[15th-octave temperaments|15]]

|[[16th-octave temperaments|16]]

|[[17th-octave temperaments|17]]

|[[18th-octave temperaments|18]]

|[[19th-octave temperaments|19]]

|[[20th-octave temperaments|20]]

|[[21st-octave temperaments|21]]

|[[22nd-octave temperaments|22]]

|[[23rd-octave temperaments|23]]

|[[24th-octave temperaments|24]]

|[[25th-octave temperaments|25]]

|[[26th-octave temperaments|26]]

|[[27th-octave temperaments|27]]

|[[28th-octave temperaments|28]]

|[[29th-octave temperaments|29]]

|[[30th-octave temperaments|30]]

|[[31st-octave temperaments|31]]

|[[32nd-octave temperaments|32]]

|[[33rd-octave temperaments|33]]

|[[34th-octave temperaments|34]]

|[[35th-octave temperaments|35]]

|[[36th-octave temperaments|36]]

|[[37th-octave temperaments|37]]

|[[38th-octave temperaments|38]]

|[[39th-octave temperaments|39]]

|[[40th-octave temperaments|40]]

|[[41st-octave temperaments|41]] / [[Countercomp family|C]]

|[[42nd-octave temperaments|42]]

|[[43rd-octave temperaments|43]]

|[[44th-octave temperaments|44]]

|[[45th-octave temperaments|45]]

|[[46th-octave temperaments|46]]

|[[47th-octave temperaments|47]]

|[[48th-octave temperaments|48]]

|[[49th-octave temperaments|49]]

|[[50th-octave temperaments|50]]

|[[51st-octave temperaments|51]]

|[[52nd-octave temperaments|52]]

|[[53rd-octave temperaments|53]] / [[Mercator family|M]]

|[[54th-octave temperaments|54]]

|[[55th-octave temperaments|55]]

|[[56th-octave temperaments|56]]

|[[57th-octave temperaments|57]]

|[[58th-octave temperaments|58]]

|[[59th-octave temperaments|59]]

|[[60th-octave temperaments|60]]

|[[61st-octave temperaments|61]]

|[[62nd-octave temperaments|62]]

|[[63rd-octave temperaments|63]]

|[[64th-octave temperaments|64]]

|[[65th-octave temperaments|65]]

|[[66th-octave temperaments|66]]

|[[67th-octave temperaments|67]]

|[[68th-octave temperaments|68]]

|[[69th-octave temperaments|69]]

|[[70th-octave temperaments|70]]

|[[71st-octave temperaments|71]]

|[[72nd-octave temperaments|72]]

|[[73rd-octave temperaments|73]]

|[[74th-octave temperaments|74]]

|[[75th-octave temperaments|75]]

|[[76th-octave temperaments|76]]

|[[77th-octave temperaments|77]]

|[[78th-octave temperaments|78]]

|[[79th-octave temperaments|79]]

|[[80th-octave temperaments|80]]

|[[81st-octave temperaments|81]]

|[[82nd-octave temperaments|82]]

|[[83rd-octave temperaments|83]]

|[[84th-octave temperaments|84]]

|[[85th-octave temperaments|85]]

|[[86th-octave temperaments|86]]

|[[87th-octave temperaments|87]]

|[[88th-octave temperaments|88]]

|[[89th-octave temperaments|89]]

|[[90th-octave temperaments|90]]

|[[91st-octave temperaments|91]]

|[[92nd-octave temperaments|92]]

|[[93rd-octave temperaments|93]]

|[[94th-octave temperaments|94]]

|[[95th-octave temperaments|95]]

|[[96th-octave temperaments|96]]

|[[97th-octave temperaments|97]]

|[[98th-octave temperaments|98]]

|[[99th-octave temperaments|99]]

|[[100th-octave temperaments|100]]