59edf: Difference between revisions

BudjarnLambeth (talk | contribs)
mNo edit summary
m Text replacement - "octave" to "octave"
 
Line 3: Line 3:


== Theory ==
== Theory ==
59edf corresponds is [[101edo]] but with the [[3/2|perfect fifth]] rather than the [[2/1|octave]] being just. The octave is [[stretched and compressed tuning|stretched]] by about 1.65 [[cents]]. 58edf is [[consistent]] to the [[integer limit|7-integer-limit]]. In comparison, 101edo is only consistent up to the 3-integer-limit.
59edf corresponds is [[101edo]] but with the [[3/2|perfect fifth]] rather than the [[octave]] being just. The octave is [[stretched and compressed tuning|stretched]] by about 1.65 [[cents]]. 58edf is [[consistent]] to the [[integer limit|7-integer-limit]]. In comparison, 101edo is only consistent up to the 3-integer-limit.


Where each of 101edo's [[prime]]s 5, 7 and 11 have two about equally good mappings with 40-60% [[relative error]], 59edf instead has one mapping for each with 5-30% relative error, at the cost of only minimal damage to the 2 and 3.
Where each of 101edo's [[prime]]s 5, 7 and 11 have two about equally good mappings with 40-60% [[relative error]], 59edf instead has one mapping for each with 5-30% relative error, at the cost of only minimal damage to the 2 and 3.