159edo/Interval names and harmonies: Difference between revisions

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:* It can be used both in triads framed by a Perfect Fourth and in triads Framed by a Perfect Fifth

* Is one half of a Perfect Fourth in this system

* Is the closest approximation of [[19edo]]'s Semifourth found in this system, and thus...

:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, since such moves on their own don't work the exact same way in this system

* Is the closest approximation of 24edo's Semifourth, and thus...

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

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| Tendomean Minor Third

| F↑\

| ~~In addition to being the closest approximation of the 31edo Minor Third found in this system, this~~ interval ~~is also~~ half of this system's approximation of the Greater Septimal Tritone and is thus used accordingly as part of a triad.

| This interval...

* Is one half of this system's approximation of the Greater Septimal Tritone, and thus...

:* Is used accordingly as part of a diminished triad

* Is reachable through stacking two of this system's approximation of the Just Paramajor Fifth and octave-reducing

* Is the closest approximation of 31edo's Minor Third found in this system, and thus...

:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, albeit with caveats, since such moves on their own don't work the exact same way in this system

|-

| 42

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| Ptolemaic Minor Third

| F↑, E#

| As the ~~approximation~~ of the Ptolemaic Minor Third- that ~~is, the traditional 5-limit minor third- this interval~~ is one of four ~~imperfect~~ consonances in this system, ~~and, unsurprisingly, is thus used accordingly; however, one should also note that this interval can be reached by~~ stacking ~~three~~ of this system's approximation of the octave-reduced seventeenth harmonic.

| This interval...

* Approximates the [[6/5|Classic Minor Third]], and as such...

:* Is one of the staples of both melodic and harmonic motion in general

:* Readily occurs as the distance between two notes in a single chord in Western-Classical-based polypedal harmony

:* It differs from the Ptolemaic Minor Third in that...

::* It is one of four perfect consonances in this system, rendering it extremely suitable for use in a Tonic triad in Western-Classical-based polypedal harmony

* Is reachable through stacking two of this system's approximation of the octave-reduced seventeenth harmonic

* Is the closest approximation of [[19edo]]'s Minor Third found in this system, and thus...

:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, since such moves on their own don't work the exact same way in this system

|-

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@@ Line 670: / Line 670: @@
 :* It can be used both in triads framed by a Perfect Fourth and in triads Framed by a Perfect Fifth
 * Is one half of a Perfect Fourth in this system
+* Is the closest approximation of [[19edo]]'s Semifourth found in this system, and thus...
+:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, since such moves on their own don't work the exact same way in this system
 * Is the closest approximation of 24edo's Semifourth, and thus...
 :* Is capable of being used in certain similar melodic and harmonic gestures, albeit with caveats, since such moves on their own don't work the exact same way in this system
@@ Line 813: / Line 815: @@
 | Tendomean Minor Third
 | F↑\
-| In addition to being the closest approximation of the 31edo Minor Third found in this system, this interval is also half of this system's approximation of the Greater Septimal Tritone and is thus used accordingly as part of a triad.
+| This interval...
+* Is one half of this system's approximation of the Greater Septimal Tritone, and thus...
+:* Is used accordingly as part of a diminished triad
+* Is reachable through stacking two of this system's approximation of the Just Paramajor Fifth and octave-reducing
+* Is the closest approximation of 31edo's Minor Third found in this system, and thus...
+:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, albeit with caveats, since such moves on their own don't work the exact same way in this system
 |-
 | 42
@@ Line 825: / Line 832: @@
 | Ptolemaic Minor Third
 | F↑, E#
-| As the approximation of the Ptolemaic Minor Third- that is, the traditional 5-limit minor third- this interval is one of four imperfect consonances in this system, and, unsurprisingly, is thus used accordingly; however, one should also note that this interval can be reached by stacking three of this system's approximation of the octave-reduced seventeenth harmonic.
+| This interval...
+* Approximates the [[6/5|Classic Minor Third]], and as such...
+:* Is one of the staples of both melodic and harmonic motion in general
+:* Readily occurs as the distance between two notes in a single chord in Western-Classical-based polypedal harmony
+:* It differs from the Ptolemaic Minor Third in that...
+::* It is one of four perfect consonances in this system, rendering it extremely suitable for use in a Tonic triad in Western-Classical-based polypedal harmony
+* Is reachable through stacking two of this system's approximation of the octave-reduced seventeenth harmonic
+* Is the closest approximation of [[19edo]]'s Minor Third found in this system, and thus...
+:* Can be used in melodic and harmonic gestures reminiscent of those found in that system, since such moves on their own don't work the exact same way in this system
 |-
 | 43