24edo/Interval names and harmonies: Difference between revisions

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As mentioned above, 24edo contains all the types of chords contained in 12edo, so, for the sake of ease, only the most basic of those will be listed here. On the other hand, there are at least several new varieties of chord that are added.

=== Ultra ===

This type of triad consists of the root, the 450c Ultra third on top of that, and the 250c Infra third on top of that. This triad, which is 24edo's version of the Tendo triad, has a rather bright but strange sound, and there are multiple types of tetrads which can be built on top of this chord.

=== Major ===

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=== Neutral ===

This type of triad is halfway between the traditional Major and Minor chords, as the third is located at an even 350c above the Tonic. It is more dissonant in sound than either the Major or Minor triads due to being located relatively far from harmonic entropy minima, but it is still viable in the right hands.

This type of triad is halfway between the traditional Major and Minor chords, as the third is located at an even 350c above the Tonic. It is more dissonant in sound than either the Major or Minor triads due to the third being located relatively far from harmonic entropy minima, but it is still viable in the right hands.

=== Minor ===

This type of triad is the same as the minor triad found in 12edo. As with the Major triad, this triad is no longer the best substitute for the septimal subminor chord, however, there are new potential set-ups and follow ups, as well as options for tetrads built on this type of triad.

=== Infra ===

This type of triad consists of the root, the 250c Infra third on top of that, and the 450c Ultra third on top of that. This triad, which is 24edo's version of the Arto triad, has a rather bright but strange sound, and there are multiple types of tetrads which can be built on top of this chord.

=== Rising Ultra ===

=== Rising Major ===

One of four chords named for a similar type of chord found in [[Onierotonic]] scales, the Rising Major triad is a bright but tense triad which consists of the Root, the 400c Major third on top of that, and the 350c Neutral third on top of that.

=== Rising Neutral ===

=== Rising Minor ===

=== Falling Major ===

One of four chords named for a similar type of chord found in [[Onierotonic]] scales, the ~~falling major~~ triad is a bright but tense triad which consists of the ~~root~~, ~~with~~ the 400c ~~major~~ third on top of that, and the 250c ~~infra~~ third on top of that. When this triad is built on the note located 550 cents above the Tonic, especially with octave reduplication of the root, it can easily be followed up with with the same Tonic's traditional V7 chord. In modulation, this same triad can also be followed up with a Dominant seventh chord built on the same root, leading to the tonicization of the neutral seventh.

One of four chords named for a similar type of chord found in Onierotonic scales, the Falling Major triad is a bright but tense triad which consists of the Root, the 400c Major third on top of that, and the 250c Infra third on top of that. When this triad is built on the note located 550 cents above the Tonic, especially with octave reduplication of the root, it can easily be followed up with with the same Tonic's traditional V7 chord. In modulation, this same triad can also be followed up with a Dominant seventh chord built on the same root, leading to the tonicization of the neutral seventh. Regardless, the use of this chord requires the proper set-ups in terms of both melody and harmony.

=== Falling Neutral ===

The Falling Neutral triad is a triad which consists of the Root, the 350c Neutral third on top of that, and the 300c Minor third on top of that. It is one of two triads that can be considered to sound like a Xenharmonic version of a Diminished triad.

=== Falling Minor ===

One of four chords named for a similar type of chord found in Onierotonic scales, the falling minor triad is a triad which consists of the Root, the 300c Minor third on top of that, and the 350c Neutral third on top of that. It is also one of two triads that can be considered to sound like a Xenharmonic version of a Diminished triad.

=== Falling Infra ===

The Falling Infra triad is a triad which consists of the Root, the 250c Infra third on top of that, and the 400c Major third on top of that. Like the Falling Major triad, when this triad is built on the note located 550 cents above the Tonic, especially with octave reduplication of the root, it can easily be followed up with with the same Tonic's traditional V7 chord, and the use of this chord also requires the proper set-ups in terms of both melody and harmony.

[[Category:24edo]]

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 As mentioned above, 24edo contains all the types of chords contained in 12edo, so, for the sake of ease, only the most basic of those will be listed here.  On the other hand, there are at least several new varieties of chord that are added.
+=== Ultra ===
+{{main| Arto and Tendo Theory }}
+This type of triad consists of the root, the 450c Ultra third on top of that, and the 250c Infra third on top of that.  This triad, which is 24edo's version of the Tendo triad, has a rather bright but strange sound, and there are multiple types of tetrads which can be built on top of this chord.
 === Major ===
@@ Line 73: / Line 78: @@
 === Neutral ===
-This type of triad is halfway between the traditional Major and Minor chords, as the third is located at an even 350c above the Tonic.  It is more dissonant in sound than either the Major or Minor triads due to being located relatively far from harmonic entropy minima, but it is still viable in the right hands.
+This type of triad is halfway between the traditional Major and Minor chords, as the third is located at an even 350c above the Tonic.  It is more dissonant in sound than either the Major or Minor triads due to the third being located relatively far from harmonic entropy minima, but it is still viable in the right hands.
 === Minor ===
 This type of triad is the same as the minor triad found in 12edo.  As with the Major triad, this triad is no longer the best substitute for the septimal subminor chord, however, there are new potential set-ups and follow ups, as well as options for tetrads built on this type of triad.
+=== Infra ===
+{{main| Arto and Tendo Theory }}
+This type of triad consists of the root, the 250c Infra third on top of that, and the 450c Ultra third on top of that.  This triad, which is 24edo's version of the Arto triad, has a rather bright but strange sound, and there are multiple types of tetrads which can be built on top of this chord.
+=== Rising Ultra ===
+=== Rising Major ===
+One of four chords named for a similar type of chord found in [[Onierotonic]] scales, the Rising Major triad is a bright but tense triad which consists of the Root, the 400c Major third on top of that, and the 350c Neutral third on top of that.
+=== Rising Neutral ===
+=== Rising Minor ===
 === Falling Major ===
-One of four chords named for a similar type of chord found in [[Onierotonic]] scales, the falling major triad is a bright but tense triad which consists of the root, with the 400c major third on top of that, and the 250c infra third on top of that.  When this triad is built on the note located 550 cents above the Tonic, especially with octave reduplication of the root, it can easily be followed up with with the same Tonic's traditional V7 chord.  In modulation, this same triad can also be followed up with a Dominant seventh chord built on the same root, leading to the tonicization of the neutral seventh.
+One of four chords named for a similar type of chord found in Onierotonic scales, the Falling Major triad is a bright but tense triad which consists of the Root, the 400c Major third on top of that, and the 250c Infra third on top of that.  When this triad is built on the note located 550 cents above the Tonic, especially with octave reduplication of the root, it can easily be followed up with with the same Tonic's traditional V7 chord.  In modulation, this same triad can also be followed up with a Dominant seventh chord built on the same root, leading to the tonicization of the neutral seventh.  Regardless, the use of this chord requires the proper set-ups in terms of both melody and harmony.
 === Falling Neutral ===
+The Falling Neutral triad is a triad which consists of the Root, the 350c Neutral third on top of that, and the 300c Minor third on top of that.  It is one of two triads that can be considered to sound like a Xenharmonic version of a Diminished triad.
 === Falling Minor ===
+One of four chords named for a similar type of chord found in Onierotonic scales, the falling minor triad is a triad which consists of the Root, the 300c Minor third on top of that, and the 350c Neutral third on top of that.  It is also one of two triads that can be considered to sound like a Xenharmonic version of a Diminished triad.
+=== Falling Infra ===
+The Falling Infra triad is a triad which consists of the Root, the 250c Infra third on top of that, and the 400c Major third on top of that.  Like the Falling Major triad, when this triad is built on the note located 550 cents above the Tonic, especially with octave reduplication of the root, it can easily be followed up with with the same Tonic's traditional V7 chord, and the use of this chord also requires the proper set-ups in terms of both melody and harmony.
 [[Category:24edo]]