224edo: Difference between revisions

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== Notation ==

=== Sagittal ===

224edo can be written in Sagittal using almost the entire Athenian extension ~~(except for {{sagittal|(|}} {{sagittal|(!}} {{sagittal|)||~}} {{sagittal|)!!~}} since it tempers [[1240029/1239040]])~~, by virtue of its apotome being equal to 21 edosteps, which is the maximum equal division of the apotome (eda) supported by Athenian<ref name=":0">[[Ragismic microtemperaments#Brahmagupta]]</ref>. It is identical to [[217edo]]'s Sagittal notation, but it uses the 55C for the +6/-6 alteration instead of 11/7C.<ref>https://sagittal.org/sagittal.pdf p. 11</ref>

224edo can be written in Sagittal using ''almost'' the entire Athenian extension, by virtue of its apotome being equal to 21 edosteps, which is the maximum equal division of the apotome (eda) supported by Athenian<ref name=":0">[[Ragismic microtemperaments#Brahmagupta]]</ref>. It is identical to [[217edo]]'s Sagittal notation, but it uses the 55C for the +6/-6 alteration instead of 11/7C.<ref>https://sagittal.org/sagittal.pdf p. 11</ref>

{| class="wikitable"

|+ Sagittal notation

! ~~224edosteps~~

! colspan="2" |Steps

! 0

! 1

Line 50:

! 21

|-

| ~~Revo~~

! rowspan="2" |Symbol

| rowspan="2" | {{sagittal||//|}}

! Evo

| rowspan="2" | {{sagittal||(}}

| rowspan="2" | <big>{{sagittal||//|}}</big>

| rowspan="2" | {{sagittal|)|(}}

| rowspan="2" | <big>{{sagittal||(}}</big>

| rowspan="2" | {{sagittal|~|(}}

| rowspan="2" | <big>{{sagittal|)|(}}</big>

| rowspan="2" | {{sagittal|/|}}

| rowspan="2" | <big>{{sagittal|~|(}}</big>

| rowspan="2" | {{sagittal||)}}

| rowspan="2" | <big>{{sagittal|/|}}</big>

| rowspan="2" | {{sagittal||\}}

| rowspan="2" | <big>{{sagittal||)}}</big>

| rowspan="2" | {{sagittal|(|(}}

| rowspan="2" | <big>{{sagittal||\}}</big>

| rowspan="2" | {{sagittal|//|}}

| rowspan="2" | <big>{{sagittal|(|(}}</big>

| rowspan="2" | {{sagittal|/|)}}

| rowspan="2" | <big>{{sagittal|//|}}</big>

| rowspan="2" | {{sagittal|/|\}}

| rowspan="2" | <big>{{sagittal|/|)}}</big>

| {{sagittal|(|)}}

| rowspan="2" | <big>{{sagittal|/|\}}</big>

| {{sagittal|(|\}}

| {{sagittal|#}}{{sagittal|\!/}}

| {{sagittal|)||(}}

| {{sagittal|#}}{{sagittal|\!)}}

| {{sagittal|~||(}}

| {{sagittal|#}}{{sagittal|\\!}}

| {{sagittal|/||}}

| {{sagittal|#}}{{sagittal|(!(}}

| {{sagittal|||)}}

| {{sagittal|#}}{{sagittal|!/}}

| {{sagittal|||\}}

| {{sagittal|#}}{{sagittal|!)}}

| {{sagittal|(||(}}

| {{sagittal|#}}{{sagittal|\!}}

| {{sagittal|~~//|~~|}}

| {{sagittal|#}}{{sagittal|~!(}}

| {{sagittal|/||)}}

| {{sagittal|#}}{{sagittal|)!(}}

| {{sagittal|~~/||\~~}}

| {{sagittal|#}}{{sagittal|!(}}

| {{sagittal|#}}

|-

~~| Evo~~

! Revo

| {{sagittal|#}}~~{{sagittal|\!~~/}}

| <big>{{sagittal|(|)}}</big>

| {{sagittal|~~#}}{{sagittal~~|\!)}}

| <big>{{sagittal|(|\}}</big>

| {{sagittal|~~#}}{{sagittal~~|~~\\!~~}}

| <big>{{sagittal|)||(}}</big>

| {{sagittal|~~#}}{{sagittal~~|(!(}}

| <big>{{sagittal|~||(}}</big>

| {{sagittal|#}}~~{{sagittal|!~~/}}

| <big>{{sagittal|/||}}</big>

| {{sagittal|~~#}}{{sagittal~~|!)}}

| <big>{{sagittal|||)}}</big>

| {{sagittal|~~#}}{{sagittal~~|\!}}

| <big>{{sagittal|||\}}</big>

| {{sagittal|~~#}}{{sagittal~~|~!(}}

| <big>{{sagittal|(||(}}</big>

| {{sagittal|~~#}}{{sagittal~~|~~)!(~~}}

| <big>{{sagittal|//||}}</big>

| {{sagittal|~~#}}{{sagittal~~|!(}}

| <big>{{sagittal|/||)}}</big>

| {{sagittal|#}}

| <big>{{sagittal|/||\}}</big>

|}

Because it uses the entire Athenian system (except for {{sagittal|(|}} {{sagittal|(!}} {{sagittal|)||~}} {{sagittal|)!!~}} since it tempers [[1240029/1239040]]), it allows no accidental enharmonic respellings

=== Ups-and-downs notation ===

@@ Line 22: / Line 22: @@
 == Notation ==
 === Sagittal ===
-edo can be written in Sagittal using almost the entire Athenian extension (except for {{sagittal|(|}} {{sagittal|(!}} {{sagittal|)||~}} {{sagittal|)!!~}} since it tempers [[1240029/1239040]]), by virtue of its apotome being equal to 21 edosteps, which is the maximum equal division of the apotome (eda) supported by Athenian<ref name=":0">[[Ragismic microtemperaments#Brahmagupta]]</ref>. It is identical to [[217edo]]'s Sagittal notation, but it uses the 55C for the +6/-6 alteration instead of 11/7C.<ref>https://sagittal.org/sagittal.pdf p. 11</ref>
+edo can be written in Sagittal using ''almost'' the entire Athenian extension, by virtue of its apotome being equal to 21 edosteps, which is the maximum equal division of the apotome (eda) supported by Athenian<ref name=":0">[[Ragismic microtemperaments#Brahmagupta]]</ref>. It is identical to [[217edo]]'s Sagittal notation, but it uses the 55C for the +6/-6 alteration instead of 11/7C.<ref>https://sagittal.org/sagittal.pdf p. 11</ref>
 {| class="wikitable"
 |+ Sagittal notation
-! 224edosteps
+! colspan="2" |Steps
 ! 0
 ! 1
@@ Line 50: / Line 50: @@
 ! 21
 |-
-| Revo
+! rowspan="2" |Symbol
-| rowspan="2" | {{sagittal||//|}}
+! Evo
-| rowspan="2" | {{sagittal||(}}
+| rowspan="2" | <big>{{sagittal||//|}}</big>
-| rowspan="2" | {{sagittal|)|(}}
+| rowspan="2" | <big>{{sagittal||(}}</big>
-| rowspan="2" | {{sagittal|~|(}}
+| rowspan="2" | <big>{{sagittal|)|(}}</big>
-| rowspan="2" | {{sagittal|/|}}
+| rowspan="2" | <big>{{sagittal|~|(}}</big>
-| rowspan="2" | {{sagittal||)}}
+| rowspan="2" | <big>{{sagittal|/|}}</big>
-| rowspan="2" | {{sagittal||\}}
+| rowspan="2" | <big>{{sagittal||)}}</big>
-| rowspan="2" | {{sagittal|(|(}}
+| rowspan="2" | <big>{{sagittal||\}}</big>
-| rowspan="2" | {{sagittal|//|}}
+| rowspan="2" | <big>{{sagittal|(|(}}</big>
-| rowspan="2" | {{sagittal|/|)}}
+| rowspan="2" | <big>{{sagittal|//|}}</big>
-| rowspan="2" | {{sagittal|/|\}}
+| rowspan="2" | <big>{{sagittal|/|)}}</big>
-| {{sagittal|(|)}}
+| rowspan="2" | <big>{{sagittal|/|\}}</big>
-| {{sagittal|(|\}}
+| <small>{{sagittal|#}}{{sagittal|\!/}}</small>
-| {{sagittal|)||(}}
+| <small>{{sagittal|#}}{{sagittal|\!)}}</small>
-| {{sagittal|~||(}}
+| <small>{{sagittal|#}}{{sagittal|\\!}}</small>
-| {{sagittal|/||}}
+| <small>{{sagittal|#}}{{sagittal|(!(}}</small>
-| {{sagittal|||)}}
+| <small>{{sagittal|#}}{{sagittal|!/}}</small>
-| {{sagittal|||\}}
+| <small>{{sagittal|#}}{{sagittal|!)}}</small>
-| {{sagittal|(||(}}
+| <small>{{sagittal|#}}{{sagittal|\!}}</small>
-| {{sagittal|//||}}
+| <small>{{sagittal|#}}{{sagittal|~!(}}</small>
-| {{sagittal|/||)}}
+| <small>{{sagittal|#}}{{sagittal|)!(}}</small>
-| {{sagittal|/||\}}
+| <small>{{sagittal|#}}{{sagittal|!(}}</small>
+| <small>{{sagittal|#}}</small>
 |-
-| Evo
+! Revo
-| {{sagittal|#}}{{sagittal|\!/}}
+| <big>{{sagittal|(|)}}</big>
-| {{sagittal|#}}{{sagittal|\!)}}
+| <big>{{sagittal|(|\}}</big>
-| {{sagittal|#}}{{sagittal|\\!}}
+| <big>{{sagittal|)||(}}</big>
-| {{sagittal|#}}{{sagittal|(!(}}
+| <big>{{sagittal|~||(}}</big>
-| {{sagittal|#}}{{sagittal|!/}}
+| <big>{{sagittal|/||}}</big>
-| {{sagittal|#}}{{sagittal|!)}}
+| <big>{{sagittal|||)}}</big>
-| {{sagittal|#}}{{sagittal|\!}}
+| <big>{{sagittal|||\}}</big>
-| {{sagittal|#}}{{sagittal|~!(}}
+| <big>{{sagittal|(||(}}</big>
-| {{sagittal|#}}{{sagittal|)!(}}
+| <big>{{sagittal|//||}}</big>
-| {{sagittal|#}}{{sagittal|!(}}
+| <big>{{sagittal|/||)}}</big>
-| {{sagittal|#}}
+| <big>{{sagittal|/||\}}</big>
 |}
+Because it uses the entire Athenian system (except for {{sagittal|(|}} {{sagittal|(!}} {{sagittal|)||~}} {{sagittal|)!!~}} since it tempers [[1240029/1239040]]), it allows no accidental enharmonic respellings
 === Ups-and-downs notation ===