41edo: Difference between revisions

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== Notations ==

=== Stein–Zimmermann–Gould notation ===

[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:

[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:

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=== Sagittal notation ===

41edo can be notated in [[Sagittal notation|Sagittal]] using the [[Sagittal notation #Spartan single-shaft|Spartan ~~extension~~]], with the apotome equal to 4 edosteps and the limma to 3 edosteps. Since the apotome can be split in two and the [[243/242|rastma]] is tempered out, a Stein–Zimmermann half-sharp and a half-flat may be used instead of pakai/pakao. Here is a simplified table:

41edo can be notated in [[Sagittal notation|Sagittal]] using the [[Sagittal notation #Spartan single-shaft|Spartan set]], with the apotome equal to 4 edosteps and the limma to 3 edosteps. Since the apotome can be split in two and the [[243/242|rastma]] is tempered out, a Stein–Zimmermann half-sharp and a half-flat may be used instead of pakai/pakao. Here is a simplified table:

{| class="wikitable" style="text-align: center;"

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|-

! rowspan="3" |Symbol

! Evo+SZ

! Evo-SZ

| rowspan="3" | <big>{{sagittal||//|}}</big>

| rowspan="3" | <big>{{sagittal| |//| }}</big>

| rowspan="3" | <big>{{sagittal|/|}}</big>

| rowspan="3" | <big>{{sagittal| /| }}</big>

| <big>{{Sagittal|t}}</big>

| <big>{{Sagittal| t }}</big>

| <~~small~~>{{~~Sagittal~~|t}}{{sagittal||\}}</~~small~~>

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

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

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

|-

! Evo

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

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

~~| <small>{{sagittal|#}}{{sagittal|!/}}</small~~>

|-

! Revo

| <big>{{sagittal|(|~~3=)~~}}</big>

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

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

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

|}

The following enharmonics from the Spartan set are present (comma tempered out):

* {{Sagittal|//|}} = {{sagittal|/|)}} = {{sagittal|/|\}} ([[325/324]], [[352/351]])

* {{Sagittal| //| }} = {{sagittal| /|) }} = {{sagittal| /|\ }} ([[325/324]], [[352/351]])

* {{Sagittal|/|}} = {{sagittal||)}} ([[225/224]])

* {{Sagittal| /| }} = {{sagittal| |) }} ([[225/224]])

* {{Sagittal||(}} = {{sagittal||//|}} ([[5120/5103]])

* {{Sagittal| |( }} = {{sagittal| |//| }} ([[5120/5103]])

See [[Sagittal notation #Revo|apotome complements]] for equivalent accidental pairs.

@@ Line 846: / Line 846: @@
 == Notations ==
 === Stein–Zimmermann–Gould notation ===
-[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
+[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
 {{Sharpness-sharp4-szg}}
@@ Line 872: / Line 872: @@
 === Sagittal notation ===
-edo can be notated in [[Sagittal notation|Sagittal]] using the [[Sagittal notation #Spartan single-shaft|Spartan extension]], with the apotome equal to 4 edosteps and the limma to 3 edosteps. Since the apotome can be split in two and the [[243/242|rastma]] is tempered out, a Stein–Zimmermann half-sharp and a half-flat may be used instead of pakai/pakao. Here is a simplified table:
+edo can be notated in [[Sagittal notation|Sagittal]] using the [[Sagittal notation #Spartan single-shaft|Spartan set]], with the apotome equal to 4 edosteps and the limma to 3 edosteps. Since the apotome can be split in two and the [[243/242|rastma]] is tempered out, a Stein–Zimmermann half-sharp and a half-flat may be used instead of pakai/pakao. Here is a simplified table:
 {| class="wikitable" style="text-align: center;"
@@ Line 883: / Line 883: @@
 |-
 ! rowspan="3" |Symbol
-! Evo+SZ
+! Evo-SZ
-| rowspan="3" | <big>{{sagittal||//|}}</big>
+| rowspan="3" | <big>{{sagittal| |//| }}</big>
-| rowspan="3" | <big>{{sagittal|/|}}</big>
+| rowspan="3" | <big>{{sagittal| /| }}</big>
-| <big>{{Sagittal|t}}</big>
+| <big>{{Sagittal| t }}</big>
-| <small>{{Sagittal|t}}{{sagittal||\}}</small>
+| rowspan="2" | <big>{{sagittal| \! }}{{sagittal| # }}</big>
-| rowspan="2" | <big>{{sagittal|#}}</big>
+| rowspan="2" | <big>{{sagittal| # }}</big>
 |-
 ! Evo
-| rowspan="2" | <big>{{sagittal|/|\}}</big>
+| rowspan="2" | <big>{{sagittal| /|\ }}</big>
-| <small>{{sagittal|#}}{{sagittal|!/}}</small>
 |-
 ! Revo
-| <big>{{sagittal|(|3=)}}</big>
+| <big>{{sagittal| ||\ }}</big>
-| <big>{{sagittal|/||\}}</big>
+| <big>{{sagittal| /||\ }}</big>
 |}
 The following enharmonics from the Spartan set are present (comma tempered out):
-* {{Sagittal|//|}} = {{sagittal|/|)}} = {{sagittal|/|\}} ([[325/324]], [[352/351]])
+* {{Sagittal| //| }} = {{sagittal| /|) }} = {{sagittal| /|\ }} ([[325/324]], [[352/351]])
-* {{Sagittal|/|}} = {{sagittal||)}} ([[225/224]])
+* {{Sagittal| /| }} = {{sagittal| |) }} ([[225/224]])
-* {{Sagittal||(}} = {{sagittal||//|}} ([[5120/5103]])
+* {{Sagittal| |( }} = {{sagittal| |//| }} ([[5120/5103]])
 See [[Sagittal notation #Revo|apotome complements]] for equivalent accidental pairs.