159edo/Interval names and harmonies: Difference between revisions

Line 1,142:

| This interval...

* Approximates the [[9/7|Septimal Supermajor Third]], and as such...

:* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this causes dissonance, and thus requires resolution

~~:* It readily serves as one of the key Paradiatonic intervals in Western-Classical-based Paradiatonic functional harmony, since...~~

~~::* It functions as a Misoserviant due to its dissonance and its properties relative to the Diatonic scale~~

::* It is useful in forming not only strident-sounding triads framed by the Perfect Fifth, but also different types of augmented and superaugmented triad

* Is one half of this system's approximation of the Marvelous Minor Sixth as a consequence of the hemimage comma being tempered out in this system

Line 1,160:

Line 1,158:

| Paraminor Fourth, Wide Supermajor Third

| Gd>, Ft#>↓

| Although ~~this interval~~ is not found on the Paradiatonic scale, it is nevertheless ~~important for usage~~ in Parachromatic ~~gestures and in various types of~~ harmony ~~based on such gestures; it is the namesake of 24edo's own Paraminor Fourth interval~~, and~~, just like that interval, it tends~~ to ~~want~~ to ~~be followed up by either~~ the ~~Unison,~~ the ~~Perfect Fourth, or, its Paramajor counterpart~~- the ~~latter having~~ additional follow-up options.

| This interval...

* Approximates the [[128/99|Just Paraminor Fourth]], and as such...

:* Although it is not found on the Paradiatonic scale, it is nevertheless readily serves as one of the key Parachromatic intervals in Western-Classical-based Parachromatic functional harmony, since...

::* It functions as a Misoserviant due to its dissonance and its properties relative to the Diatonic scale

::* It has the potential to move back down to the Tonic harmony through a paradiatonic motion

::* It has the potential to move up towards a Serviant harmony through a parachromatic quatertone-type motion

::* It has the potential to move up towards an Intersubiant harmony through a parachromatic semitone-type motion, with this move granting additional follow-up options

* Follows after the pattern of inframinor and ultramajor intervals sounding like members of the adjacent interval classes- specifically, the paraminor fourth sounds more like a third than a fourth

* Is the closest approximation of 19edo's Diminished Fourth found in this system, and thus...

:* Is capable of being used for similar modulatory moves, albeit with caveats, since such moves on their own don't work the exact same way in this system

|-

| 60

@@ Line 1,142: / Line 1,142: @@
 | This interval...
 * Approximates the [[9/7|Septimal Supermajor Third]], and as such...
 :* Can occur as the distance between two notes in a single chord in Western-Classical-based polypedal harmony, though this causes dissonance, and thus requires resolution
-:* It readily serves as one of the key Paradiatonic intervals in Western-Classical-based Paradiatonic functional harmony, since...
-::* It functions as a Misoserviant due to its dissonance and its properties relative to the Diatonic scale
 ::* It is useful in forming not only strident-sounding triads framed by the Perfect Fifth, but also different types of augmented and superaugmented triad
 * Is one half of this system's approximation of the Marvelous Minor Sixth as a consequence of the hemimage comma being tempered out in this system
@@ Line 1,160: / Line 1,158: @@
 | Paraminor Fourth, Wide Supermajor Third
 | Gd>, Ft#>↓
-| Although this interval is not found on the Paradiatonic scale, it is nevertheless important for usage in Parachromatic gestures and in various types of harmony based on such gestures; it is the namesake of 24edo's own Paraminor Fourth interval, and, just like that interval, it tends to want to be followed up by either the Unison, the Perfect Fourth, or, its Paramajor counterpart- the latter having additional follow-up options.
+| This interval...
+* Approximates the [[128/99|Just Paraminor Fourth]], and as such...
+:* Although it is not found on the Paradiatonic scale, it is nevertheless readily serves as one of the key Parachromatic intervals in Western-Classical-based Parachromatic functional harmony, since...
+::* It functions as a Misoserviant due to its dissonance and its properties relative to the Diatonic scale
+::* It has the potential to move back down to the Tonic harmony through a paradiatonic motion
+::* It has the potential to move up towards a Serviant harmony through a parachromatic quatertone-type motion
+::* It has the potential to move up towards an Intersubiant harmony through a parachromatic semitone-type motion, with this move granting additional follow-up options
+* Follows after the pattern of inframinor and ultramajor intervals sounding like members of the adjacent interval classes- specifically, the paraminor fourth sounds more like a third than a fourth
+* Is the closest approximation of 19edo's Diminished Fourth found in this system, and thus...
+:* Is capable of being used for similar modulatory moves, albeit with caveats, since such moves on their own don't work the exact same way in this system
 |-
 | 60