46edo: Difference between revisions

Line 752:

=== 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.

{| class="wikitable center-~~all~~"

{| class="wikitable center-1 center-2 center-3"

|+ style="font-size: 105%;" | 46-note circles by gen. with related temperaments organized by period

|-

! [[Interval]] !! [[Closing error|Closing Error]] !! [[Circle#Definitions|Consistency]] !! 1\1 !! 1\2

! [[Interval]] !! [[Closing error|Closing<br>Error]] !! [[Circle #Definitions|Consistency]] !! 1\1 !! 1\2

|-

| [[68/65]] || 25.9% || ~~normal~~ || [[~~valentine~~]] || [[~~semivalentine~~]]

| [[68/65]] || 25.9% || Normal || [[Valentine]] || [[Semivalentine]]

|-

| [[10/9]] || 36.1% || ~~normal~~ || [[~~mitonic~~]] || [[~~unidec~~]], [[hendec]]

| [[10/9]] || 36.1% || Normal || [[Mitonic]] || [[Unidec]], [[hendec]]

|}

{| class="wikitable center-all"

{| class="wikitable center-all left-4"

|+ style="font-size: 105%;" | 23-note circles by gen. with related half-octave temperaments

|-

! [[Interval]] !! [[Closing error|Closing Error]] !! [[Circle#Definitions|Consistency]] !! Temperaments

! [[Interval]] !! [[Closing error|Closing<br>Error]] !! [[Circle #Definitions|Consistency]] !! Temperaments

|-

| [[17/16]] || 53.5% || ~~weak~~ || [[~~diaschismic~~]]

| [[17/16]] || 53.5% || Weak || [[Diaschismic]]

|-

| [[23/21]] || 85.7% || ~~weak~~ || [[~~bison~~]]

| [[23/21]] || 85.7% || Weak || [[Bison]]

|-

| [[44/39]] || 12.3% || ~~super~~-strong || [[~~abigail~~]]

| [[44/39]] || 12.3% || Super-strong || [[Abigail]]

|-

| [[21/17]] || 53.6% || ~~weak~~ || ?

| [[21/17]] || 53.6% || Weak || ?

|-

| [[14/11]] || 10.2% || ~~super~~-strong || ?

| [[14/11]] || 10.2% || Super-strong || ?

|-

| [[21/16]] || 107% || ~~sub~~-weak || ?

| [[21/16]] || 107% || Sub-weak || ?

|}

@@ Line 752: / Line 752: @@
 === Consistent circles ===
 edo 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-all"
+{| class="wikitable center-1 center-2 center-3"
 |+ style="font-size: 105%;" | 46-note circles by gen. with related temperaments organized by period
 |-
-! [[Interval]] !! [[Closing error|Closing Error]] !! [[Circle#Definitions|Consistency]] !! 1\1 !! 1\2
+! [[Interval]] !! [[Closing error|Closing<br>Error]] !! [[Circle #Definitions|Consistency]] !! 1\1 !! 1\2
 |-
-| [[68/65]] || 25.9% || normal || [[valentine]] || [[semivalentine]]
+| [[68/65]] || 25.9% || Normal || [[Valentine]] || [[Semivalentine]]
 |-
-| [[10/9]] || 36.1% || normal || [[mitonic]] || [[unidec]], [[hendec]]
+| [[10/9]] || 36.1% || Normal || [[Mitonic]] || [[Unidec]], [[hendec]]
 |}
-{| class="wikitable center-all"
+{| class="wikitable center-all left-4"
 |+ style="font-size: 105%;" | 23-note circles by gen. with related half-octave temperaments
 |-
-! [[Interval]] !! [[Closing error|Closing Error]] !! [[Circle#Definitions|Consistency]] !! Temperaments
+! [[Interval]] !! [[Closing error|Closing<br>Error]] !! [[Circle #Definitions|Consistency]] !! Temperaments
 |-
-| [[17/16]] || 53.5% || weak || [[diaschismic]]
+| [[17/16]] || 53.5% || Weak || [[Diaschismic]]
 |-
-| [[23/21]] || 85.7% || weak || [[bison]]
+| [[23/21]] || 85.7% || Weak || [[Bison]]
 |-
-| [[44/39]] || 12.3% || super-strong || [[abigail]]
+| [[44/39]] || 12.3% || Super-strong || [[Abigail]]
 |-
-| [[21/17]] || 53.6% || weak || ?
+| [[21/17]] || 53.6% || Weak || ?
 |-
-| [[14/11]] || 10.2% || super-strong || ?
+| [[14/11]] || 10.2% || Super-strong || ?
 |-
-| [[21/16]] || 107% || sub-weak || ?
+| [[21/16]] || 107% || Sub-weak || ?
 |}