46edo: Difference between revisions

Line 751:

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-2 center-3 center-4 center-5 center-6 center-7 center-8 center-9 center-10 center-11"

|+ style="font-size: 105%;" | 46-~~Note~~ circles by ~~generator~~ 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

|-

| [[10/9]] || 36.1% || normal || ||

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

|-

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

|}

{| class="wikitable center-2 center-3 center-4 center-5 center-6 center-7 center-8 center-9 center-10 center-11"

|+ style="font-size: 105%;" | 23-~~Note~~ circles by ~~generator~~ with related ~~23rd~~-octave temperaments

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

|-

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

|-

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

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

|-

| [[39/22]] || 12.3% || ~~superstrong~~

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

|

|-

| [[11/7]] || 10.2% || ~~superstrong~~ ||

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

|-

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

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

|-

| [[21/16]] || 107% || ~~subweak~~ ||

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

|}

''For the 23rd-octave temperament that 46edo supports which combines all above 23-note circles, see:'' [[Icositritonic]].

== Regular temperament properties ==

@@ Line 751: / Line 751: @@
 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-2 center-3 center-4 center-5 center-6 center-7 center-8 center-9 center-10 center-11"
-|+ style="font-size: 105%;" | 46-Note circles by generator 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
 |-
-| [[10/9]] || 36.1% || normal || ||
+| [[68/65]] || 25.9% || normal || [[valentine]] || [[semivalentine]]
+|-
+| [[10/9]] || 36.1% || normal || [[mitonic]] || [[unidec]], [[hendec]]
 |}
 {| class="wikitable center-2 center-3 center-4 center-5 center-6 center-7 center-8 center-9 center-10 center-11"
-|+ style="font-size: 105%;" | 23-Note circles by generator with related 23rd-octave temperaments
+|+ style="font-size: 105%;" | 23-note circles by gen. with related half-octave temperaments
 |-
 ! [[Interval]] !! [[Closing error]] !! [[Circle#Definitions|Consistency]] !! Temperaments
 |-
-| [[17/16]] || 53.5% || weak
+| [[17/16]] || 53.5% || weak || [[diaschismic]]
 |-
-| [[39/22]] || 12.3% || superstrong
+| [[23/21]] || 85.7% || weak || [[bison]]
-|
 |-
-| [[11/7]] || 10.2% || superstrong ||
+| [[21/17]] || 53.6% || weak || ?
 |-
-| [[21/17]] || 53.6% || weak ||
+| [[14/11]] || 10.2% || super-strong || ?
 |-
-| [[21/16]] || 107% || subweak ||
+| [[21/16]] || 107% || sub-weak || ?
 |}
+''For the 23rd-octave temperament that 46edo supports which combines all above 23-note circles, see:'' [[Icositritonic]].
 == Regular temperament properties ==