159edo/Interval names and harmonies: Difference between revisions

Aura (talk | contribs)
No edit summary
Aura (talk | contribs)
No edit summary
Line 741: Line 741:
| F↓/, Et<↑
| F↓/, Et<↑
| This interval...
| This interval...
* Approximates the [[17/15|Septendecimal Whole Tone]], and thus...
* Approximates the [[20/17|Septendecimal Minor Third]], and thus...
:*Is utilized in approximations of the [[17-odd-limit]], courtesy of acting as the [[fourth complement]] to the Narrow Supermajor Second
:*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...
* Is the closest approximation of 17edo's Minor Third found in this system, and thus...
Line 776: Line 776:
| Pythagorean Minor Third
| Pythagorean Minor Third
| F
| F
| This interval approximates the Pythagorean Minor Third, and since this system does not temper out the syntonic comma, this interval- in contrast to the Ptolemaic Minor Third- is very useful as an interpretation of the dissonant Minor Third from [[Wikipedia: Medieval music #Early_polyphony: organum|Medieval music's florid organum]], and can thus be used in creating a subtle instability in certain Diatonic harmonies.
| This interval...
* Approximates the [[32/27|Pythagorean 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 very useful as an interpretation of the dissonant Minor Third from [[Wikipedia: Medieval music #Early_polyphony: organum|Medieval music's florid organum]]  
::* It can be used in creating a subtle instability in certain Diatonic harmonies
* Is one third of this system's approximation of the Classic Major Sixth
* Is reachable through stacking three of this system's approximation of the Axirabian Limma
|-  
|-  
| 40
| 40