159edo/Interval names and harmonies: Difference between revisions

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| Ed>↓, D#↑\

| 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...

* Approximates the [[14/13|Tridecimal Supraminor Second]] and a similar 11-limit interval that acts as the Supraminor counterpart to the Undecimal Submajor Second, and thus...

:* Is easy to use in approximations of both undecimal and tridecimal harmony

:* It demonstrates trienthird functionality- namely in relation to this system's approximation of the Classic 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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| This interval...

* Is one half of this system's approximation of the Classic Minor Third

* Is the closest approximation of the 31edo Middle Second found in this system, and thus..

* Is the closest approximation of the 31edo Middle Second 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 found in 53edo as that system's Submajor Second, and can thus be used to create identical-sounding melodic and harmonic gestures in this system

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| Greater Submajor Second, Ultra-Augmented Prime

| Ed<↑, Dt#<, Fb↓/

| In addition to its properties as the interval that most closely resembles the Undecimal Submajor Second, this interval serves as both the Ultra-Augmented Prime and as one third of a Perfect Fourth, and is used accordingly.

| This interval...

* Approximates the [[11/10|Undecimal Submajor Second]] and a similar 13-limit interval that acts as the Submajor counterpart to the Tridecimal Supraminor Second, and thus...

:* Is easy to use in approximations of both undecimal and tridecimal harmony

In addition to its properties as the interval that most closely resembles the Undecimal Submajor Second, this interval serves as both the Ultra-Augmented Prime and as one third of a Perfect Fourth, and is used accordingly.

|-

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@@ Line 362: / Line 362: @@
 | Ed>↓, D#↑\
 | 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...
+* Approximates the [[14/13|Tridecimal Supraminor Second]] and a similar 11-limit interval that acts as the Supraminor counterpart to the Undecimal Submajor Second, and thus...
+:* Is easy to use in approximations of both undecimal and tridecimal harmony
 :* It demonstrates trienthird functionality- namely in relation to this system's approximation of the Classic 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 443: / Line 444: @@
 | This interval...
 * Is one half of this system's approximation of the Classic Minor Third
-* Is the closest approximation of the 31edo Middle Second found in this system, and thus..
+* Is the closest approximation of the 31edo Middle Second 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 found in 53edo as that system's Submajor Second, and can thus be used to create identical-sounding melodic and harmonic gestures in this system
@@ Line 457: / Line 458: @@
 | Greater Submajor Second, Ultra-Augmented Prime
 | Ed<↑, Dt#<, Fb↓/
-| In addition to its properties as the interval that most closely resembles the Undecimal Submajor Second, this interval serves as both the Ultra-Augmented Prime and as one third of a Perfect Fourth, and is used accordingly.
+| This interval...
+* Approximates the [[11/10|Undecimal Submajor Second]] and a similar 13-limit interval that acts as the Submajor counterpart to the Tridecimal Supraminor Second, and thus...
+:* Is easy to use in approximations of both undecimal and tridecimal harmony
+In addition to its properties as the interval that most closely resembles the Undecimal Submajor Second, this interval serves as both the Ultra-Augmented Prime and as one third of a Perfect Fourth, and is used accordingly.
 |-
 | 23