24edo: Difference between revisions

Line 888:

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~~:

As for entirely new chords, there are three new fundamental options, giving five basic triads over 12edo's three:

*0-9-14 ~~(Ultra Triad or upmajor triad)~~

{| class="wikitable center-all"

*0-5-14 ~~(Infra Triad or downminor triad)~~

|-

! JI Chord

! Edosteps

! Notes of C Chord

! Written name

! Spoken name

|-

| 6:7:9, 26:30:39

| 0–5–14

| C–E{{sesquiflat2}}–G

| Cvm

| C subminor

|-

| 10:12:15

| 0–6–14

| C–E♭–G

| Cm

| C minor

|-

| 18:22:27, 22:27:33

| 0-7-14

| C–E{{demiflat2}}–G

| C~

| C neutral

|-

| 4:5:6

| 0–8–14

| C–E–G

| C, Cmaj

| C, C major

|-

| 14:18:21, 10:13:15

| 0–9–14

| C–E{{demisharp2}}–G

| C^

| C supermajor

|}

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.

@@ Line 888: / Line 888: @@
 edo 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:
+As for entirely new chords, there are three new fundamental options, giving five basic triads over 12edo's three:
-*0-9-14 (Ultra Triad or upmajor triad)
+{| class="wikitable center-all"
-*0-5-14 (Infra Triad or downminor triad)
+|-
+! JI Chord
+! Edosteps
+! Notes of C Chord
+! Written name
+! Spoken name
+|-
+| 6:7:9, 26:30:39
+| 0–5–14
+| C–E{{sesquiflat2}}–G
+| Cvm
+| C subminor
+|-
+| 10:12:15
+| 0–6–14
+| C–E♭–G
+| Cm
+| C minor
+|-
+| 18:22:27, 22:27:33
+| 0-7-14
+| C–E{{demiflat2}}–G
+| C~
+| C neutral
+|-
+| 4:5:6
+| 0–8–14
+| C–E–G
+| C, Cmaj
+| C, C major
+|-
+| 14:18:21, 10:13:15
+| 0–9–14
+| C–E{{demisharp2}}–G
+| C^
+| C supermajor
+|}
 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.