159edo/Interval names and harmonies: Difference between revisions

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| This interval...

* Approximates the [[14/13|Tridecimal Supraminor Second]] and a similar 11-limit Supraminor Second that is reached by subtracting the syntonic comma from the Alpharabian Tendoneutral Second, and thus...

~~:* As is typical of a Supraminor Second, it is not sharp enough to truly sound neutral, but is nevertheless sharp enough to be distinct from a Minor Second~~

:* It demonstrates trienthird functionality- namely in relation to this system's approximation of the Ptolemaic Major Third- due to the combination of commas tempered out in this system

* Approximates a complex yet uprooted 17-limit interval relative to the Tonic and can be used...

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| Greater Supraminor Second, Diptolemaic Limma, Retroptolemaic Augmented Prime

| Ed<\, Eb↑↑, D#↑

| This interval ~~is not only both~~ two ~~thirds~~ of Pythagorean Major Second ~~and~~ the approximation of the ~~Large Limma or Diptolemaic Limma~~ in this system~~, but also a type of supraminor second~~, and is thus used ~~accordingly.~~

| This interval...

* Approximates the [[27/25|Large Limma]], and thus...

:* It frequently acts as a Diatonic semitone in Western-Classical-based harmony

* Approximates the [[13/12|Tridecimal Neutral Third]], and thus...

:* It demonstrates two-third-tone functionality- especially in relation to this system's approximation of the Pythagorean Major Second- due to the combination of commas tempered out in this system

:* It demonstrates trienthird functionality- namely in relation to this system's approximation of the Pythagorean Major Third- due to the combination of commas tempered out in this system

* Is found in 53edo as that system's Supraminor Third, and can thus be used to create identical-sounding harmonic gestures in this system

|-

| 19

@@ Line 363: / Line 363: @@
 | This interval...
 * Approximates the [[14/13|Tridecimal Supraminor Second]] and a similar 11-limit Supraminor Second that is reached by subtracting the syntonic comma from the Alpharabian Tendoneutral Second, and thus...
-:* As is typical of a Supraminor Second, it is not sharp enough to truly sound neutral, but is nevertheless sharp enough to be distinct from a Minor Second
 :* It demonstrates trienthird functionality- namely in relation to this system's approximation of the Ptolemaic Major Third- due to the combination of commas tempered out in this system
 * Approximates a complex yet uprooted 17-limit interval relative to the Tonic and can be used...
@@ Line 380: / Line 379: @@
 | Greater Supraminor Second, Diptolemaic Limma, Retroptolemaic Augmented Prime
 | Ed<\, Eb↑↑, D#↑
-| This interval is not only both two thirds of Pythagorean Major Second and the approximation of the Large Limma or Diptolemaic Limma in this system, but also a type of supraminor second, and is thus used accordingly.
+| This interval...
+* Approximates the [[27/25|Large Limma]], and thus...
+:* It frequently acts as a Diatonic semitone in Western-Classical-based harmony
+*  Approximates the [[13/12|Tridecimal Neutral Third]], and thus...
+:* It demonstrates two-third-tone functionality- especially in relation to this system's approximation of the Pythagorean Major Second- due to the combination of commas tempered out in this system
+:* It demonstrates trienthird functionality- namely in relation to this system's approximation of the Pythagorean Major Third- due to the combination of commas tempered out in this system
+* Is found in 53edo as that system's Supraminor Third, and can thus be used to create identical-sounding harmonic gestures in this system
 |-
 | 19