19edo chords: Difference between revisions

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In contrast to [[12edo|12-EDO]] chords, [[19edo|19-EDO]] has four instead of the usual two main chord qualities which opens up completely new territory for eager musicians/microtonalists to explore.
In contrast to [[12edo]] chords, [[19edo]] has four instead of the usual two main tertian chord qualities which opens up completely new territory for eager musicians/microtonalists to explore.


19-EDO approximates intervals with factors of 2 (2:1), 3 (3:2), 5 (5:4, 5:3, 6:5) and 7 (7:6, 7:4, 27:14) quite well. This essentially means that normal chords - like in 12-EDO - can be represented nicely in 19-EDO.
19edo approximates intervals with factors of 2 ([[2/1]]), 3 ([[3/2]]), 5 ([[5/4]], [[5/3]], [[6/5]]) and 7 ([[7/6]], [[7/4]], [[27/14]]) quite well. This essentially means that normal chords – like in 12edo – can be represented nicely in 19edo.


Because enharmonics work differently in 19-EDO, pitches can be written down with standard notation.
Despite that enharmonics work differently in 19edo, pitches can be written down with standard notation.


= Triads =
== Triads ==
Note that the cent values of the intervals are approximated. For detailed numbers, see [[19edo|19-EDO.]]
Note that the cent values of the intervals are approximated. For detailed numbers, see [[19edo]].
{| class="wikitable"
{| class="wikitable"
!Chord name
! Chord name
!Symbol
! Symbol
!Steps
! Steps
!Cents
! Cents
!Audio
! Audio
|-
|-
|Major
| Major
|C
| C
|0-6-11
| 0-6-11
|0-379-695
| 0-379-695
|[[File:C_(19-EDO).mp3|frameless]]
| [[File:C_(19-EDO).mp3|frameless]]
|-
|-
|Minor
| Minor
|Cm, C-
| Cm, C-
|0-5-11
| 0-5-11
|0-316-695
| 0-316-695
|[[File:Cm (19-EDO).mp3|frameless]]
| [[File:Cm (19-EDO).mp3|frameless]]
|-
|-
|SuperMajor
| SuperMajor
|Csmaj
| Csmaj
|0-7-11
| 0-7-11
|0-442-695
| 0-442-695
|[[File:Csmaj (19-EDO).mp3|frameless]]
| [[File:Csmaj (19-EDO).mp3|frameless]]
|-
|-
|SubMinor
| SubMinor
|Csmin
| Csmin
|0-4-11
| 0-4-11
|0-253-695
| 0-253-695
|[[File:Csmin (19-EDO).mp3|frameless]]
| [[File:Csmin (19-EDO).mp3|frameless]]
|-
|-
|sus4
| sus4
|Csus4
| Csus4
|0-8-11
| 0-8-11
|0-505-695
| 0-505-695
|[[File:Csus4 (19-EDO).mp3|frameless]]
| [[File:Csus4 (19-EDO).mp3|frameless]]
|-
|-
|sus2
| sus2
|Csus2
| Csus2
|0-3-11
| 0-3-11
|0-189-695
| 0-189-695
|[[File:Csus2 (19-EDO).mp3|frameless]]
| [[File:Csus2 (19-EDO).mp3|frameless]]
|-
|-
|Diminished
| Diminished
|Cdim, C°
| Cdim, C°
|0-5-10
| 0-5-10
|0-316-632
| 0-316-632
|[[File:Cdim (19-EDO).mp3|frameless]]
| [[File:Cdim (19-EDO).mp3|frameless]]
|-
|-
|Augmented
| Augmented
|Caug, C+
| Caug, C+
|0-6-12
| 0-6-12
|0-379-758
| 0-379-758
|[[File:Caug (19-EDO).mp3|frameless]]
| [[File:Caug (19-EDO).mp3|frameless]]
|}
|}


= Tetrads (Sixth/Seventh chords) =
== Tetrads (sixth/seventh chords) ==
Because of interesting new features - the supermajor seventh and "harmonic" seventh - new tetrads are possible while existing ones can be preserved.
Because of interesting new features – the supermajor seventh and "harmonic" seventh – new tetrads are possible while existing ones can be preserved.


=== Major chords ===
=== Major chords ===
{| class="wikitable"
{| class="wikitable"
!Chord name
! Chord name
!Symbol
! Symbol
!Steps
! Steps
!Cents
! Cents
!Audio
! Audio
|-
|-
|Major seventh
| Major seventh
|Cmaj7
| Cmaj7
|0-6-11-17
| 0-6-11-17
|0-379-695-1074
| 0-379-695-1074
|[[File:Cmaj7 (19-EDO).mp3|frameless]]
| [[File:Cmaj7 (19-EDO).mp3|frameless]]
|-
|-
|Dominant seventh
| Dominant seventh
|C7
| C7
|0-6-11-16
| 0-6-11-16
|0-379-695-1011
| 0-379-695-1011
|[[File:C7 (19-EDO).mp3|frameless]]
| [[File:C7 (19-EDO).mp3|frameless]]
|-
|-
|Harmonic seventh
| Harmonic seventh
|Ch7
| Ch7
|0-6-11-15
| 0-6-11-15
|0-379-695-947
| 0-379-695-947
|[[File:Ch7 (19-EDO).mp3|frameless]]
| [[File:Ch7 (19-EDO).mp3|frameless]]
|-
|-
|Sixth
| Sixth
|C6
| C6
|0-6-11-14
| 0-6-11-14
|0-379-695-884
| 0-379-695-884
|[[File:C6 (19-EDO).mp3|frameless]]
| [[File:C6 (19-EDO).mp3|frameless]]
|}
|}


=== Minor chords ===
=== Minor chords ===
{| class="wikitable"
{| class="wikitable"
!Chord name
! Chord name
!Symbol
! Symbol
!Steps
! Steps
!Cents
! Cents
!Audio
! Audio
|-
|-
|Minor seventh
| Minor seventh
|Cm7
| Cm7
|0-5-11-16
| 0-5-11-16
|0-316-695-1011
| 0-316-695-1011
|
|
|-
|-
|Minor major seventh
| Minor major seventh
|Cmmaj7
| Cmmaj7
|0-5-11-17
| 0-5-11-17
|0-316-695-1074
| 0-316-695-1074
|
|
|-
|-
|Minor six
| Minor six
|Cm6
| Cm6
|0-5-11-14
| 0-5-11-14
|0-316-695-884
| 0-316-695-884
|
|
|-
|-
|Minor seven flat six
| Minor seven flat six
|Cm7(b6)
| Cm7(b6)
|0-5-13-16
| 0-5-13-16
|0-316-821-1011
| 0-316-821-1011
|
|  
|}
|}


=== Supermajor chords ===
=== Supermajor chords ===
{| class="wikitable"
{| class="wikitable"
!Chord name
! Chord name
!Symbol
! Symbol
!Steps
! Steps
!Cents
! Cents
!Audio
! Audio
|-
|-
|Supermajor seventh
| Supermajor seventh
|Csmaj7
| Csmaj7
|0-7-11-18
| 0-7-11-18
|0-379-695-1137
| 0-379-695-1137
|
|  
|}
|}


=== Subminor chords ===
=== Subminor chords ===
{| class="wikitable"
{| class="wikitable"
!Chord name
! Chord name
!Symbol
! Symbol
!Steps
! Steps
!Cents
! Cents
!Audio
! Audio
|-
|-
|Subminor seventh
| Subminor seventh
|Csmin7
| Csmin7
|0-4-11-15
| 0-4-11-15
|0-253-695-947
| 0-253-695-947
|
|  
|}
|}


=== Diminished chords ===
=== Diminished chords ===
{| class="wikitable"
{| class="wikitable"
!Chord name
! Chord name
!Symbol
! Symbol
!Steps
! Steps
!Cents
! Cents
!Audio
! Audio
|-
|-
|Diminished seven
| Diminished seven<br>(fully diminished)
(fully diminished)
| Cdim7, C°7
|Cdim7, C°7
| 0-5-10-15
|0-5-10-15
| 0-316-632-947
|0-316-632-947
|
|
|-
|-
|Minor seven flat five
| Minor seven flat five<br>(half-diminished)
(half-diminished)
| Cm7(b5), Cø7
|Cm7(b5), Cø7
| 0-5-10-16
|0-5-10-16
| 0-316-632-1011
|0-316-632-1011
|
|
|}
|}
Line 187: Line 185:
=== Augmented chords ===
=== Augmented chords ===
{| class="wikitable"
{| class="wikitable"
!Chord name
! Chord name
!Symbol
! Symbol
!Steps
! Steps
!Cents
! Cents
!Audio
! Audio
|-
|-
|Augmented seven
| Augmented seven
|Caug7, C+7, C7#5
| Caug7, C+7, C7#5
|0-6-12-17
| 0-6-12-17
|0-379-758-1011
| 0-379-758-1011
|
|  
|-
|-
|Major seven sharp five
| Major seven sharp five
|Cmaj7#5
| Cmaj7#5
|0-6-12-18
| 0-6-12-18
|0-379-758-1137
| 0-379-758-1137
|
|  
|}
|}
[[Category:19edo]]
[[Category:Chords]]

Revision as of 12:24, 9 April 2022

In contrast to 12edo chords, 19edo has four instead of the usual two main tertian chord qualities which opens up completely new territory for eager musicians/microtonalists to explore.

19edo approximates intervals with factors of 2 (2/1), 3 (3/2), 5 (5/4, 5/3, 6/5) and 7 (7/6, 7/4, 27/14) quite well. This essentially means that normal chords – like in 12edo – can be represented nicely in 19edo.

Despite that enharmonics work differently in 19edo, pitches can be written down with standard notation.

Triads

Note that the cent values of the intervals are approximated. For detailed numbers, see 19edo.

Chord name Symbol Steps Cents Audio
Major C 0-6-11 0-379-695
Minor Cm, C- 0-5-11 0-316-695
SuperMajor Csmaj 0-7-11 0-442-695
SubMinor Csmin 0-4-11 0-253-695
sus4 Csus4 0-8-11 0-505-695
sus2 Csus2 0-3-11 0-189-695
Diminished Cdim, C° 0-5-10 0-316-632
Augmented Caug, C+ 0-6-12 0-379-758

Tetrads (sixth/seventh chords)

Because of interesting new features – the supermajor seventh and "harmonic" seventh – new tetrads are possible while existing ones can be preserved.

Major chords

Chord name Symbol Steps Cents Audio
Major seventh Cmaj7 0-6-11-17 0-379-695-1074
Dominant seventh C7 0-6-11-16 0-379-695-1011
Harmonic seventh Ch7 0-6-11-15 0-379-695-947
Sixth C6 0-6-11-14 0-379-695-884

Minor chords

Chord name Symbol Steps Cents Audio
Minor seventh Cm7 0-5-11-16 0-316-695-1011
Minor major seventh Cmmaj7 0-5-11-17 0-316-695-1074
Minor six Cm6 0-5-11-14 0-316-695-884
Minor seven flat six Cm7(b6) 0-5-13-16 0-316-821-1011

Supermajor chords

Chord name Symbol Steps Cents Audio
Supermajor seventh Csmaj7 0-7-11-18 0-379-695-1137

Subminor chords

Chord name Symbol Steps Cents Audio
Subminor seventh Csmin7 0-4-11-15 0-253-695-947

Diminished chords

Chord name Symbol Steps Cents Audio
Diminished seven
(fully diminished) 		Cdim7, C°7 0-5-10-15 0-316-632-947
Minor seven flat five
(half-diminished) 		Cm7(b5), Cø7 0-5-10-16 0-316-632-1011

Augmented chords

Chord name Symbol Steps Cents Audio
Augmented seven Caug7, C+7, C7#5 0-6-12-17 0-379-758-1011
Major seven sharp five Cmaj7#5 0-6-12-18 0-379-758-1137
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