Consistency: Difference between revisions

Inthar (talk | contribs)
mNo edit summary
Inthar (talk | contribs)
mNo edit summary
Line 18: Line 18:
# no interval within ''C' '' has [[relative error]] 25% or more.  
# no interval within ''C' '' has [[relative error]] 25% or more.  
(The 25% threshold is meant to allow stacking two dyads ''a'', ''b'' once without having the sum ''a + b'' of the dyads have over 50% relative error; thus a strongly consistent approximation would play more nicely in a regular temperament-style [[subgroup]] context.)
(The 25% threshold is meant to allow stacking two dyads ''a'', ''b'' once without having the sum ''a + b'' of the dyads have over 50% relative error; thus a strongly consistent approximation would play more nicely in a regular temperament-style [[subgroup]] context.)
An equivalent definition is that ''N''-edo represents ''C'' strongly consistently if ''2N''-edo represents ''C'' consistently.
An equivalent definition is that ''N''-edo represents ''C'' strongly consistently if 2''N''-edo represents ''C'' consistently.


The page ''[[Minimal consistent EDOs]]'' shows the smallest edo that is consistent or uniquely consistent in a given odd limit while the page ''[[Consistency levels of small EDOs]]'' shows the largest odd limit that a given edo is consistent or uniquely consistent in.
The page ''[[Minimal consistent EDOs]]'' shows the smallest edo that is consistent or uniquely consistent in a given odd limit while the page ''[[Consistency levels of small EDOs]]'' shows the largest odd limit that a given edo is consistent or uniquely consistent in.