46edo: Difference between revisions
m →Consistent circles: typo |
m Make consistent circle a subsection of approximation to JI. Style |
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== Approximation to JI == | == Approximation to JI == | ||
[[File:46ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 15-limit intervals approximated in 46edo]] | [[File:46ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 15-limit intervals approximated in 46edo]] | ||
=== Interval mappings === | === Interval mappings === | ||
{{Q-odd-limit intervals|46}} | {{Q-odd-limit intervals|46}} | ||
== Consistent circles == | |||
=== Consistent circles === | |||
46edo is home to a number of [[consistent circle]]s, both ones closing after generating all 46 notes and ones closing after generating 23edo. | 46edo is home to a number of [[consistent circle]]s, both ones closing after generating all 46 notes and ones closing after generating 23edo. | ||
{| class="wikitable center- | {| class="wikitable center-all" | ||
|+ style="font-size: 105%;" | 46-note circles by gen. with related temperaments organized by period | |+ style="font-size: 105%;" | 46-note circles by gen. with related temperaments organized by period | ||
|- | |- | ||
! [[Interval]] !! [[Closing error]] !! [[Circle#Definitions|Consistency]] !! 1\1 !! 1\2 | ! [[Interval]] !! [[Closing error|Closing Error]] !! [[Circle#Definitions|Consistency]] !! 1\1 !! 1\2 | ||
|- | |- | ||
| [[68/65]] || 25.9% || normal || [[valentine]] || [[semivalentine]] | | [[68/65]] || 25.9% || normal || [[valentine]] || [[semivalentine]] | ||
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|} | |} | ||
{| class="wikitable center- | {| class="wikitable center-all" | ||
|+ style="font-size: 105%;" | 23-note circles by gen. with related half-octave temperaments | |+ style="font-size: 105%;" | 23-note circles by gen. with related half-octave temperaments | ||
|- | |- | ||
! [[Interval]] !! [[Closing error]] !! [[Circle#Definitions|Consistency]] !! Temperaments | ! [[Interval]] !! [[Closing error|Closing Error]] !! [[Circle#Definitions|Consistency]] !! Temperaments | ||
|- | |- | ||
| [[17/16]] || 53.5% || weak || [[diaschismic]] | | [[17/16]] || 53.5% || weak || [[diaschismic]] | ||