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19edo: Difference between revisions

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== Notation ==
== Notation ==
=== Standard notation ===
=== Standard notation ===
Standard 12edo notation can be used, whether it is staff notation (with five lines), letter [[chain-of-fifths notation]] (with standard accidentals), solfege, or sargam. Note that D# and Eb are two different notes.
Standard 12edo notation can be used, whether it is staff notation (with five lines), letter [[chain-of-fifths notation]] (with standard accidentals), solfège, or sargam. Note that D# and Eb are two different notes.


Any 19edo note or interval can be [[Enharmonic unison|respelled enharmonically]] by adding a double-diminished 2nd to it or subtracting one from it. Adding a dd2 is equivalent to finding the 12edo equivalent with a higher degree, then diminishing it. For example, C# becomes Db, which is diminished to become Dbb.
Any 19edo note or interval can be [[enharmonic unison|respelled enharmonically]] by adding a double-diminished second to it or subtracting one from it. Adding a dd2 is equivalent to finding the 12edo equivalent with a higher degree, then diminishing it. For example, C# becomes Db, which is diminished to become Dbb.


{| class="wikitable right-1 right-2 center-3 center-4"
{| class="wikitable right-1 right-2 center-3 center-4"
|+ style="font-size: 105%;" | Notation of 19edo
|+ style="font-size: 105%;" | Notation of 19edo
|-
|-
! rowspan="2" | [[Degree]]
! rowspan="2" | [[Degree|#]]
! rowspan="2" | [[Cent]]s
! rowspan="2" | [[Cent]]s
! colspan="2" | [[Chain-of-fifths notation|Standard Notation]]
! colspan="2" | [[Chain-of-fifths notation|Standard notation]]
|-
|-
! [[5L 2s|Diatonic Interval Names]]
! [[5L 2s|Diatonic interval names]]
! Note Names<br />on D
! Note names<br>on D
|-
|-
| 0
| 0
| 0.00
| 0.0
| '''Perfect unison (P1)'''
| '''Perfect unison (P1)'''
| '''D'''
| '''D'''
|-
|-
| 1
| 1
| 63.16
| 63.2
| Augmented unison (A1)<br />Diminished second (d2)
| Augmented unison (A1)<br>Diminished second (d2)
| D#<br />Ebb
| D#<br>Ebb
|-
|-
| 2
| 2
| 126.32
| 126.3
| Doubly augmented unison (AA1)<br />Minor second (m2)
| Doubly augmented unison (AA1)<br>Minor second (m2)
| Dx<br />Eb
| Dx<br>Eb
|-
|-
| 3
| 3
| 189.47
| 189.5
| '''Major second (M2)'''<br />Doubly diminished third (dd3)
| '''Major second (M2)'''<br>Doubly diminished third (dd3)
| '''E'''<br />Fbb
| '''E'''<br>Fbb
|-
|-
| 4
| 4
| 252.63
| 252.6
| Augmented second (A2)<br />Diminished third (d3)
| Augmented second (A2)<br>Diminished third (d3)
| E#<br />Fb
| E#<br>Fb
|-
|-
| 5
| 5
| 315.79
| 315.8
| Doubly augmented second (AA2)<br />'''Minor third (m3)'''
| Doubly augmented second (AA2)<br>'''Minor third (m3)'''
| Ex<br />'''F'''
| Ex<br>'''F'''
|-
|-
| 6
| 6
| 378.95
| 378.9
| '''Major third (M3)'''<br />Doubly diminished fourth (dd4)
| '''Major third (M3)'''<br>Doubly diminished fourth (dd4)
| '''F#'''<br />Gbb
| '''F#'''<br>Gbb
|-
|-
| 7
| 7
| 442.11
| 442.1
| Augmented third (A3)<br />Diminished fourth (d4)
| Augmented third (A3)<br>Diminished fourth (d4)
| Fx<br />Gb
| Fx<br>Gb
|-
|-
| 8
| 8
| 505.26
| 505.3
| '''Perfect fourth (P4)'''
| '''Perfect fourth (P4)'''
| '''G'''
| '''G'''
|-
|-
| 9
| 9
| 568.42
| 568.4
| Augmented fourth (A4)<br />Doubly diminished fifth (dd5)
| Augmented fourth (A4)<br>Doubly diminished fifth (dd5)
| G#<br />Abb
| G#<br>Abb
|-
|-
| 10
| 10
| 631.58
| 631.6
| Doubly augmented fourth (AA4)<br />Diminished fifth (d5)
| Doubly augmented fourth (AA4)<br>Diminished fifth (d5)
| Gx<br />Ab
| Gx<br>Ab
|-
|-
| 11
| 11
| 694.74
| 694.7
| '''Perfect fifth (P5)'''
| '''Perfect fifth (P5)'''
| '''A'''
| '''A'''
|-
|-
| 12
| 12
| 757.89
| 757.9
| Augmented fifth (A5)<br />Diminished sixth (d6)
| Augmented fifth (A5)<br>Diminished sixth (d6)
| A#<br />Bbb
| A#<br>Bbb
|-
|-
| 13
| 13
| 821.05
| 821.1
| Doubly augmented fifth (AA5)<br />Minor sixth (m6)
| Doubly augmented fifth (AA5)<br>Minor sixth (m6)
| Ax<br />Bb
| Ax<br>Bb
|-
|-
| 14
| 14
| 884.21
| 884.2
| '''Major sixth (M6)'''<br />Doubly diminished seventh (dd7)
| '''Major sixth (M6)'''<br>Doubly diminished seventh (dd7)
| '''B'''<br />Cbb
| '''B'''<br>Cbb
|-
|-
| 15
| 15
| 947.37
| 947.4
| Augmented sixth (A6)<br />Diminished seventh (d7)
| Augmented sixth (A6)<br>Diminished seventh (d7)
| B#<br />Cb
| B#<br>Cb
|-
|-
| 16
| 16
| 1010.53
| 1010.5
| Doubly augmented sixth (AA6)<br />'''Minor seventh (m7)'''
| Doubly augmented sixth (AA6)<br>'''Minor seventh (m7)'''
| Bx<br />'''C'''
| Bx<br>'''C'''
|-
|-
| 17
| 17
| 1073.68
| 1073.7
| Major seventh (M7)<br />Doubly diminished octave (dd8)
| Major seventh (M7)<br>Doubly diminished octave (dd8)
| C#<br />Dbb
| C#<br>Dbb
|-
|-
| 18
| 18
| 1136.84
| 1136.8
| Augmented seventh (A7)<br />Diminished octave (d8)
| Augmented seventh (A7)<br>Diminished octave (d8)
| Cx<br />Db
| Cx<br>Db
|-
|-
| 19
| 19
| 1200.00
| 1200.0
| '''Perfect octave (P8)'''
| '''Perfect octave (P8)'''
| '''D'''
| '''D'''
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In 19edo:
In 19edo:
* [[Ups and downs notation]] is identical to standard notation;
* [[Ups and downs notation]] is identical to standard notation;
* Mixed [[sagittal notation]] is identical to standard notation, but pure sagittal notation exchanges sharps (&#x266F;) and flats (&#x266D;) for sagittal sharp ([[File:Sagittal sharp.png]]) and sagittal flat ([[File:Sagittal flat.png]]) respectively.
* Mixed [[sagittal notation]] is identical to standard notation, but pure sagittal notation exchanges sharps (♯) and flats (♭) for sagittal sharp ([[File:Sagittal sharp.png]]) and sagittal flat ([[File:Sagittal flat.png]]) respectively.


{{Sharpness-sharp1}}
{{Sharpness-sharp1}}


=== Sagittal notation ===
=== Sagittal notation ===
This notation uses the same sagittal sequence as EDOs [[5edo#Sagittal notation|5]], [[12edo#Sagittal notation|12]], and [[26edo#Sagittal notation|26]], and is a subset of the notations for EDOs [[38edo#Sagittal notation|38]], [[57edo#Sagittal notation|57]], and [[76edo#Sagittal notation|76]].
This notation uses the same sagittal sequence as edos [[5edo #Sagittal notation|5]], [[12edo #Sagittal notation|12]], and [[26edo #Sagittal notation|26]], and is a subset of the notations for edos [[38edo #Sagittal notation|38]], [[57edo #Sagittal notation|57]], and [[76edo #Sagittal notation|76]].


==== Evo flavor ====
==== Evo flavor ====
{{Sagittal chart|Evo}}
{{Sagittal chart|Evo}}


Because it includes no Sagittal symbols, this Evo Sagittal notation is also a conventional notation.
Because it includes no Sagittal symbols, this Evo Sagittal notation is identical to conventional notation.


==== Revo flavor ====
==== Revo flavor ====
Line 530: Line 530:
=== Dodecatonic notation ===
=== Dodecatonic notation ===
{| class="wikitable right-1 right-2 mw-collapsible mw-collapsed"
{| class="wikitable right-1 right-2 mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | Dodecatonic Notation of 19edo
|+ style="font-size: 105%; white-space: nowrap;" | Dodecatonic notation of 19edo
|-
|-
! [[Degree]]
! [[Degree|#]]
! [[Cent]]s
! [[Cent]]s
! Interval Names
! Interval names
|-
|-
| 0
| 0
| 0.00
| 0.0
| P1
| P1
|-
|-
| 1
| 1
| 63.16
| 63.2
| A1, m2
| A1, m2
|-
|-
| 2
| 2
| 126.32
| 126.3
| M2, m3
| M2, m3
|-
|-
| 3
| 3
| 189.47
| 189.5
| M3
| M3
|-
|-
| 4
| 4
| 252.63
| 252.6
| m4, A3
| m4, A3
|-
|-
| 5
| 5
| 315.79
| 315.8
| M4, m5
| M4, m5
|-
|-
| 6
| 6
| 378.95
| 378.9
| M5
| M5
|-
|-
| 7
| 7
| 442.11
| 442.1
| A5, d6
| A5, d6
|-
|-
| 8
| 8
| 505.26
| 505.3
| P6
| P6
|-
|-
| 9
| 9
| 568.42
| 568.4
| A6, m7
| A6, m7
|-
|-
| 10
| 10
| 631.58
| 631.6
| M7, d8
| M7, d8
|-
|-
| 11
| 11
| 694.74
| 694.7
| P8
| P8
|-
|-
| 12
| 12
| 757.89
| 757.9
| A8, m9
| A8, m9
|-
|-
| 13
| 13
| 821.05
| 821.1
| M9, m10
| M9, m10
|-
|-
| 14
| 14
| 884.21
| 884.2
| M10
| M10
|-
|-
| 15
| 15
| 947.37
| 947.4
| m11, A10
| m11, A10
|-
|-
| 16
| 16
| 1010.53
| 1010.5
| M11, m12
| M11, m12
|-
|-
| 17
| 17
| 1073.68
| 1073.7
| M12
| M12
|-
|-
| 18
| 18
| 1136.84
| 1136.8
| A12, d13
| A12, d13
|-
|-
| 19
| 19
| 1200.00
| 1200.0
| P13
| P13
|}
|}
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