41edo: Difference between revisions

Line 872:

=== Sagittal notation ===

~~53edo~~ can be notated in [[Sagittal notation|Sagittal]] using the [[Sagittal notation#Spartan ~~extension~~ 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 SZ 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 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 SZ half-sharp and a half-flat may be used instead of pakai/pakao. Here is a simplified table:

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

!Degree

! Degree

|'''0'''

| '''0'''

| +1

| +2

| +3

|'''+4'''

| '''+4'''

|-

!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>

|{{Sagittal|t}}{{sagittal||\}}

| {{Sagittal|t}}{{sagittal||\}}

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

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

|-

!Evo

! Evo

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

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

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

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

|-

!Revo

! Revo

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

| <big>{{sagittal|(|3=)}}</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||)}} ([[225/224]])

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

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

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

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

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

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

Featured below is the 41edo gamut notated using the best accidental approximants; in this case, pai/pao and pakai/pakao; the same sagittal sequence as [[34edo #Sagittal notation|34edo]].

@@ Line 872: / Line 872: @@
 === Sagittal notation ===
-edo can be notated in [[Sagittal notation|Sagittal]] using the [[Sagittal notation#Spartan extension single-shaft|Spartan extension]], with the apotome equal to 4 edosteps and the limma to 3 edosteps. <span data-darkreader-inline-color="">Since the apotome can be split in two and the [[243/242|rastma]] is tempered out, a SZ half-sharp and a half-flat may be used instead of pakai/pakao.</span> Here is a simplified table:
+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 SZ half-sharp and a half-flat may be used instead of pakai/pakao. Here is a simplified table:
 {| class="wikitable" style="text-align: center;"
-!Degree
+! Degree
-|'''0'''
+| '''0'''
 | +1
 | +2
 | +3
-|'''+4'''
+| '''+4'''
 |-
-!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>
+| <small>{{Sagittal|t}}{{sagittal||\}}</small>
-| rowspan="2" |<big>{{sagittal|#}}</big>
+| rowspan="2" | <big>{{sagittal|#}}</big>
 |-
-!Evo
+! Evo
-| rowspan="2" |<big>{{sagittal|/|\}}</big>
+| rowspan="2" | <big>{{sagittal|/|\}}</big>
-|<small>{{sagittal|#}}{{sagittal|!/}}</small>
+| <small>{{sagittal|#}}{{sagittal|!/}}</small>
 |-
-!Revo
+! Revo
-|<big>{{sagittal|(|3=)}}</big>
+| <big>{{sagittal|(|3=)}}</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||)}} ([[225/224]])
+* {{Sagittal||(}} = {{sagittal||//|}} ([[5120/5103]])
-* {{sagittal|//|}} = {{Sagittal|/|)}} = {{Sagittal|/|\}} ([[325/324]], [[352/351]])
+See [[Sagittal notation #Revo|apotome complements]] for equivalent accidental pairs.
-* {{sagittal|/|}} = {{sagittal||)}} ([[225/224]])
-* {{sagittal||(}} = {{sagittal||//|}} ([[5120/5103]])
-See [[Sagittal notation#Revo|apotome complements]] for equivalent accidental pairs.
 Featured below is the 41edo gamut notated using the best accidental approximants; in this case, pai/pao and pakai/pakao; the same sagittal sequence as [[34edo #Sagittal notation|34edo]].