19edo chords: Difference between revisions
Merge U&D notation from 19edo Chord Names, misc. edits |
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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. | 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 ([[ | 19edo approximates intervals with factors of 2 ([[2/1]]), 3 ([[3/2]]), 5 ([[5/4]], [[5/3]], [[6/5]]), and some intervals involving 7 ([[9/7]], [[27/14]]) quite well. This essentially means that normal chords, like in 12edo, can be represented nicely in 19edo. | ||
Despite that [[enharmonic equivalence]] works differently in 19edo, pitches can be written down with [[Chain-of-fifths notation|standard notation]]. | Despite that [[enharmonic equivalence]] works differently in 19edo, pitches can be written down with [[Chain-of-fifths notation|standard notation]]. | ||
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Note that the cent values of the intervals are approximated. For detailed numbers, see [[19edo]]. | 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 | ||
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| Supermajor,<br />Major sharp 3 | | Supermajor,<br />Major sharp 3 | ||
| Csmaj, C(♯3), Cmaj(♯3) | | Csmaj, C(♯3), Cmaj(♯3) | ||
| | | C–E♯–G | ||
| 0–7–11 | | 0–7–11 | ||
| 0–442–695 | | 0–442–695 | ||
| Line 77: | Line 78: | ||
=== Major chords === | === Major chords === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |||
! Chord name | ! Chord name | ||
! Symbol | ! Symbol | ||
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=== Minor chords === | === Minor chords === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |||
! Chord name | ! Chord name | ||
! Symbol | ! Symbol | ||
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=== Supermajor chords === | === Supermajor chords === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |||
! Chord name | ! Chord name | ||
! Symbol | ! Symbol | ||
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=== Subminor chords === | === Subminor chords === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |||
! Chord name | ! Chord name | ||
! Symbol | ! Symbol | ||
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=== Augmented chords === | === Augmented chords === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |||
! Chord name | ! Chord name | ||
! Symbol | ! Symbol | ||
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== Pentads (ninth chords) == | == Pentads (ninth chords) == | ||
=== Major chords === | === Major chords === | ||
=== Major chords === | === Major chords === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |||
! Chord name | ! Chord name | ||
! Symbol | ! Symbol | ||
| Line 268: | Line 274: | ||
== Ups and downs notation == | == Ups and downs notation == | ||
Various [[19edo]] triads, 6th and 7th chords, named via [[Ups and Downs Notation|ups and downs]]. Not meant to be exhaustive, but this list does demonstrate the basic rules for naming. The aug 6th and the dim 7th are the same interval, and chords that use that interval can be named as either a 6th chord or a 7th chord. | Various [[19edo]] triads, 6th and 7th chords, named via [[Ups and Downs Notation|ups and downs]]. Not meant to be exhaustive, but this list does demonstrate the basic rules for naming. The aug 6th and the dim 7th are the same interval, and chords that use that interval can be named as either a 6th chord or a 7th chord. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
!triad | ! | ||
|C(d3) | ! d3 | ||
|Cm | ! m3 | ||
|C | ! M3 | ||
|C(A3) | ! A3 | ||
|C4 | ! P4 | ||
|- | |||
! triad | |||
| C(d3) | |||
| Cm | |||
| C | |||
| C(A3) | |||
| C4 | |||
|- | |- | ||
!M6 | ! M6 | ||
|C6(d3) | | C6(d3) | ||
|Cm6 | | Cm6 | ||
|C6 | | C6 | ||
|C6(A3) | | C6(A3) | ||
|C4,6 | | C4,6 | ||
|- | |- | ||
!A6 | ! A6 | ||
d7 | d7 | ||
|C(d3)A6 | | C(d3)A6 | ||
C(d3)d7 | C(d3)d7 | ||
|CmA6 | | CmA6 | ||
Cmd7 | Cmd7 | ||
|C,A6 | | C,A6 | ||
C,d7 | C,d7 | ||
|C(A3)A6 | | C(A3)A6 | ||
C(A3)d7 | C(A3)d7 | ||
|C4A6 | | C4A6 | ||
C4d7 | C4d7 | ||
|- | |- | ||
!m7 | ! m7 | ||
|C7(d3) | | C7(d3) | ||
|Cm7 | | Cm7 | ||
|C7 | | C7 | ||
|C7(A3) | | C7(A3) | ||
|C4,7 | | C4,7 | ||
|- | |- | ||
!M7 | ! M7 | ||
|CM7(d3) | | CM7(d3) | ||
|CmM7 | | CmM7 | ||
|CM7 | | CM7 | ||
|CM7(A3) | | CM7(A3) | ||
|C4M7 | | C4M7 | ||
|- | |- | ||
!A7 | ! A7 | ||
|CA7(d3) | | CA7(d3) | ||
|CmA7 | | CmA7 | ||
|C,A7 | | C,A7 | ||
|C(A3)A7 | | C(A3)A7 | ||
|C4A7 | | C4A7 | ||
|} | |} | ||
A comma (the actual punctuation mark ",") is spoken as "add", thus C,v7 is "C add-down-seven". The only exception is when a comma separates two numbers, as in C4,7 which is "C four-seven". A comma is written, and "add" is spoken, whenever not doing so would cause confusion with another chord. | A comma (the actual punctuation mark ",") is spoken as "add", thus C,v7 is "C add-down-seven". The only exception is when a comma separates two numbers, as in C4,7 which is "C four-seven". A comma is written, and "add" is spoken, whenever not doing so would cause confusion with another chord. | ||
4:5:6:7 = C E G vBb is named C add-dim7. To get a shorter name for this important chord, one could call it a harmonic7 chord, or one could borrow from [[color notation]] to call it a har7 chord, written Ch7. Names for subharmonic chords can be similarly shortened. | 4:5:6:7 = C E G vBb is named C add-dim7. To get a shorter name for this important chord, one could call it a harmonic7 chord, or one could borrow from [[color notation]] to call it a har7 chord, written Ch7. Names for subharmonic chords can be similarly shortened. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
|4:5:6:7 | ! Chord | ||
|C E G Bbb | ! Notes | ||
|C add-dim-7 | ! colspan="2" | Ups and downs name | ||
|C,d7 | ! colspan="2" | Color name | ||
|C har7 | |- | ||
|Ch7 | | 4:5:6:7 | ||
| C E G Bbb | |||
| C add-dim-7 | |||
| C,d7 | |||
| C har7 | |||
| Ch7 | |||
|- | |- | ||
|7/6/5/4 | | 7/6/5/4 | ||
|C Ebb Gbb Bbb | | C Ebb Gbb Bbb | ||
|C dim-3 dim-7 double-dim5 | | C dim-3 dim-7 double-dim5 | ||
|C(d3)d7(dd5) | | C(d3)d7(dd5) | ||
|C sub7 | | C sub7 | ||
|Cs7 | | Cs7 | ||
|- | |- | ||
|12/10/8/7 | | 12/10/8/7 | ||
|C Eb G A# | | C Eb G A# | ||
|C minor aug-6 | | C minor aug-6 | ||
|CmA6 | | CmA6 | ||
|C sub6 | | C sub6 | ||
|Cs6 | | Cs6 | ||
|} | |} | ||