159edo/Interval names and harmonies: Difference between revisions

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::* It functions as a Contravaricant due to its semiambitonal properties relative to the Diatonic scale

::* It is useful in forming not only strident-sounding triads framed by the Perfect Fifth, but also other, ambisonant triads framed by the Perfect Fourth

*Is one third of this system's approximation of the Pythagorean Minor Sixth.

* Is one third of this system's approximation of the Pythagorean Minor Sixth

* Is very useful for [[essentially tempered chord]]s such as [[Keenanismic chords]].

* Is very useful for [[essentially tempered chord]]s such as [[Keenanismic chords]]

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Line 720:

| Greater Subminor Third

| F↓, Et>/, E#↓↓, Gbb

| This interval ~~is useful for evoking~~ the ~~feel of 31edo due to approximating that system's Subminor Third~~, and ~~even approximates the result of subtracting a syntonic comma from a Pythagorean Minor Third; however, it~~ most frequently appears in approximations of [[5-limit]] Harmonic scales as the interval between the Ptolemaic Minor Sixth and the Ptolemaic Major Seventh, ~~making it double~~ as a type of ~~augmented second~~.

| This interval...

* Approximates the [[75/64|classic augmented second, and as such...

:* It most frequently appears in approximations of 5-limit Harmonic scales as the interval between the Ptolemaic Minor Sixth and the Ptolemaic Major Seventh

* Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Pythagorean Minor Third, and thus...

:* It can be thought of as a type of third when acting in this capacity

* Is the closest approximation of 31edo's Subminor Third found in this system, 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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| Wide Subminor Third

| F↓/, Et<↑

| This interval is utilized in approximations of the [[17-odd-limit]], courtesy of acting as the [[fourth complement]] to the Narrow Supermajor Second~~; it is also good for evoking~~ the ~~feel~~ of [[17edo~~]] due to approximating~~ that system's Minor Third.

| This interval...

* Approximates the [[17/15|Septendecimal Whole Tone]], and thus...

:*Is utilized in approximations of the [[17-odd-limit]], courtesy of acting as the [[fourth complement]] to the Narrow Supermajor Second

* Is the closest approximation of 17edo'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

* Is the closest approximation of 13edo's Minor Third found in this system, and thus...

:* Can be used in Warped Diatonic 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

|-

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@@ Line 707: / Line 707: @@
 ::* It functions as a Contravaricant due to its semiambitonal properties relative to the Diatonic scale
 ::* It is useful in forming not only strident-sounding triads framed by the Perfect Fifth, but also other, ambisonant triads framed by the Perfect Fourth
-*Is one third of this system's approximation of the Pythagorean Minor Sixth.
+* Is one third of this system's approximation of the Pythagorean Minor Sixth
-* Is very useful for [[essentially tempered chord]]s such as [[Keenanismic chords]].
+* Is very useful for [[essentially tempered chord]]s such as [[Keenanismic chords]]
 |-
 | 36
@@ Line 720: / Line 720: @@
 | Greater Subminor Third
 | F↓, Et>/, E#↓↓, Gbb
-| This interval is useful for evoking the feel of 31edo due to approximating that system's Subminor Third, and even approximates the result of subtracting a syntonic comma from a Pythagorean Minor Third; however, it most frequently appears in approximations of [[5-limit]] Harmonic scales as the interval between the Ptolemaic Minor Sixth and the Ptolemaic Major Seventh, making it double as a type of augmented second.
+| This interval...
+* Approximates the [[75/64|classic augmented second, and as such...
+:* It most frequently appears in approximations of 5-limit Harmonic scales as the interval between the Ptolemaic Minor Sixth and the Ptolemaic Major Seventh
+* Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Pythagorean Minor Third, and thus...
+:* It can be thought of as a type of third when acting in this capacity
+* Is the closest approximation of 31edo's Subminor Third found in this system, 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
 |-
 | 37
@@ Line 732: / Line 738: @@
 | Wide Subminor Third
 | F↓/, Et<↑
-| This interval is utilized in approximations of the [[17-odd-limit]], courtesy of acting as the [[fourth complement]] to the Narrow Supermajor Second; it is also good for evoking the feel of [[17edo]] due to approximating that system's Minor Third.
+| This interval...
+* Approximates the [[17/15|Septendecimal Whole Tone]], and thus...
+:*Is utilized in approximations of the [[17-odd-limit]], courtesy of acting as the [[fourth complement]] to the Narrow Supermajor Second
+* Is the closest approximation of 17edo'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
+* Is the closest approximation of 13edo's Minor Third found in this system, and thus...
+:* Can be used in Warped Diatonic 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
 |-
 | 38