159edo/Interval names and harmonies: Difference between revisions

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| This interval...

* Approximates the [[45/44|Undecimal Fifth-Tone]]

* Approximates a complex 11-limit ~~paradiatonic~~ quartertone that is the namesake of 24edo's own Inframinor Second

* Approximates a complex 11-limit Paradiatonic quartertone that is the namesake of 24edo's own Inframinor Second

* Is the closest approximation of [[31edo]]'s own Superprime found in this system, and thus...

:* Is capable of being used in progressions reminiscent of that system's [[SpiralProgressions|spiral progressions]]

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| This interval...

* 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 can be thought of as something along the lines of a "wide semitone" in voice-leading

:* 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...

* 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~~

:* It can be thought of as something along the lines of a "narrow whole tone" in voice-leading

* Approximates a complex 11-limit Parachromatic interval formed by stacking an Al-Farabi Quartertone on top of an Apotome, and thus...

~~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.~~

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

* Is one third of this system's approximation of the Perfect Fourth

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@@ Line 117: / Line 117: @@
 | This interval...
 * Approximates the [[45/44|Undecimal Fifth-Tone]]
-* Approximates a complex 11-limit paradiatonic quartertone that is the namesake of 24edo's own Inframinor Second
+* Approximates a complex 11-limit Paradiatonic quartertone that is the namesake of 24edo's own Inframinor Second
 * Is the closest approximation of [[31edo]]'s own Superprime found in this system, and thus...
 :* Is capable of being used in progressions reminiscent of that system's [[SpiralProgressions|spiral progressions]]
@@ Line 363: / Line 363: @@
 | This interval...
 * 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 can be thought of as something along the lines of a "wide semitone" in voice-leading
 :* 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 460: / Line 460: @@
 | 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
+:* It can be thought of as something along the lines of a "narrow whole tone" in voice-leading
+* Approximates a complex 11-limit Parachromatic interval formed by stacking an Al-Farabi Quartertone on top of an Apotome, and thus...
-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.
+:* It can be thought of as a type of sesquichroma when acting in this capacity
+* Is one third of this system's approximation of the Perfect Fourth
 |-
 | 23