Xenharmonic Wiki

24edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
→Alternate quartertone accidentals: Removed the "alternate quartertone accidentals" subheading because it pretty much only consisted of broken links to external image files with no explanation or description.
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
mNo edit summary
Line 522: Line 522:
* [[24edo Chord Names]]
* [[24edo Chord Names]]
* [[Ups and Downs Notation#Chords and Chord Progressions]].
* [[Ups and Downs Notation#Chords and Chord Progressions]].
==Chord types==
24edo features a rich variety of not only new chords, but also alterations that can be used with regular 12edo chords. For example, an approximation of the ninth, eleventh, and thirteenth harmonic can be added to a major triad to create a sort of super-extended chord structure of a major chord: 4:5:6:9:11:13.
As for entirely new chords, the most obvious is the neutral or mid triad 0-7-14. However there are other options such as:
* 0-9-14 (Ultra Triad or upmajor triad)
* 0-5-14 (Infra Triad or downminor triad)
These chords tend to lack the forcefulness to sound like resolved, tonal sonorities, but can be resolved of that issue by using tetrads in place of triads. For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21. However, another option is to replace the neutral third with an 11/8 to produce a sort of 11 limit neutral tetrad: 0-14-21-35 [[William Lynch]] considers this chord to be the most consonant tetrad in 24edo involving a neutral tonality.
24edo also is very good at 15 limit and does 13 quite well allowing barbodos 10:13:15 and barbodos minor triad 26:30:39 to be used as an entirely new harmonic system.
More good chords in 24edo:
* 0-4-8-11-14 ("major" chord with a 9:8 and a 11:8 above the root)
* Its inversion, 0-3-6-10-14 ("minor")
* 0-5-10 (another kind of "neutral", splitting the fourth in two. The 0-5-10 can be extended into a pentatonic scale, 0-5-10-14-19-24 ([[godzilla]]), that is close to equi-pentatonic and also close to several Indonesian slêndros. In a similar way 0-7-14 extends to 0-4-7-11-14-18-21-24 ([[mohajira]]), a heptatonic scale close to several Arabic scales.)
William Lynch considers these as some possible good tetrads:
[[File:Three_chords.PNG|alt=Three chords.PNG|Three chords.PNG]]
{| class="wikitable"
|-
!Chord name
!Degrees of 24edo
!Chord spelling
!Audio example
|-
|neutral
|0 7 14 21
| 1 v3 5 v7
|[[File:Neutral Tetrad on C.mp3]]
|-
|arto
|0 5 14 20
|1 vb3 5 b7
|[[File:arto tetrad on C.mp3]]
|-
|tendo
| 0 9 14 19
|1 ^3 5 vb7
|...
|}
The tendo chord can also be spelled 1 ^3 5 ^6. Due to convenience, the names Arto and tendo have been changed to Ultra and Infra.


==Commas ==
==Commas ==
Line 796: Line 749:
== Tetrachords ==
== Tetrachords ==
''See [[24edo tetrachords]]''.
''See [[24edo tetrachords]]''.
==Chord types==
24edo features a rich variety of not only new chords, but also alterations that can be used with regular 12edo chords. For example, an approximation of the ninth, eleventh, and thirteenth harmonic can be added to a major triad to create a sort of super-extended chord structure of a major chord: 4:5:6:9:11:13.
As for entirely new chords, the most obvious is the neutral or mid triad 0-7-14. However there are other options such as:
* 0-9-14 (Ultra Triad or upmajor triad)
* 0-5-14 (Infra Triad or downminor triad)
These chords tend to lack the forcefulness to sound like resolved, tonal sonorities, but can be resolved of that issue by using tetrads in place of triads. For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21. However, another option is to replace the neutral third with an 11/8 to produce a sort of 11 limit neutral tetrad: 0-14-21-35 [[William Lynch]] considers this chord to be the most consonant tetrad in 24edo involving a neutral tonality.
24edo also is very good at 15 limit and does 13 quite well allowing barbodos 10:13:15 and barbodos minor triad 26:30:39 to be used as an entirely new harmonic system.
More good chords in 24edo:
* 0-4-8-11-14 ("major" chord with a 9:8 and a 11:8 above the root)
* Its inversion, 0-3-6-10-14 ("minor")
* 0-5-10 (another kind of "neutral", splitting the fourth in two. The 0-5-10 can be extended into a pentatonic scale, 0-5-10-14-19-24 ([[godzilla]]), that is close to equi-pentatonic and also close to several Indonesian slêndros. In a similar way 0-7-14 extends to 0-4-7-11-14-18-21-24 ([[mohajira]]), a heptatonic scale close to several Arabic scales.)
William Lynch considers these as some possible good tetrads:
[[File:Three_chords.PNG|alt=Three chords.PNG|Three chords.PNG]]
{| class="wikitable"
|-
!Chord name
!Degrees of 24edo
!Chord spelling
!Audio example
|-
|neutral
|0 7 14 21
| 1 v3 5 v7
|[[File:Neutral Tetrad on C.mp3]]
|-
|arto
|0 5 14 20
|1 vb3 5 b7
|[[File:arto tetrad on C.mp3]]
|-
|tendo
| 0 9 14 19
|1 ^3 5 vb7
|...
|}
The tendo chord can also be spelled 1 ^3 5 ^6. Due to convenience, the names Arto and tendo have been changed to Ultra and Infra.


== Counterpoint ==
== Counterpoint ==
Retrieved from "https://en.xen.wiki/w/24edo"