159edo/Interval names and harmonies: Difference between revisions
Reached the Classic Major Sixth... |
Finished the Major Sixths... |
||
| Line 2,008: | Line 2,008: | ||
::* It can be used in creating a subtle instability in certain Diatonic harmonies | ::* It can be used in creating a subtle instability in certain Diatonic harmonies | ||
* Is one half of this system's approximation of the Classic Major Tenth | * Is one half of this system's approximation of the Classic Major Tenth | ||
|- | |- | ||
| 106 | | 106 | ||
| Line 2,172: | Line 2,171: | ||
* Approximates the [[28/17|Septendecimal Submajor Sixth]], and thus... | * Approximates the [[28/17|Septendecimal Submajor Sixth]], and thus... | ||
:* Is very useful for essentially tempered chords such as [[273/272|tannic chords]] | :* Is very useful for essentially tempered chords such as [[273/272|tannic chords]] | ||
* Is reachable through stacking six of this system's approximation of the | * Is reachable through stacking six of this system's approximation of the 2nd Undecimal Neutral Second | ||
* Is the closest approximation of the 7edo Sixth found in this system, and thus... | * Is the closest approximation of the 7edo Sixth 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 | :* 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 | ||
| Line 2,235: | Line 2,234: | ||
| ? | | ? | ||
| 429/256 | | 429/256 | ||
| 256/153 | | [[256/153]] | ||
| | | RkM6 | ||
| | | Artomean Major Sixth | ||
| | | Bɔ/ | ||
| | | This interval... | ||
* Approximates the [[256/153|Septendecimal Tendomean Major Sixth]] | |||
* Is the closest approximation of 31edo's Major Sixth 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 | |||
* Can easily be used in modulatory maneuvers similar to those performed by Jacob Collier | |||
|- | |- | ||
| 119 | | 119 | ||
| Line 2,248: | Line 2,251: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | rM6 | ||
| | | Tendomean Major Sixth | ||
| | | B\ | ||
| | | This interval... | ||
* Approximates the [[42/25|Quasi-Tempered Minor Third]], and as such... | |||
:* It is the closest approximation of 12edo's Major Sixth 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 reachable through stacking seven of this system's approximation of the Tridecimal Supraminor Second | |||
|- | |- | ||
| 120 | | 120 | ||
| Line 2,260: | Line 2,267: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | M6 | ||
| | | Pythagorean Major Sixth | ||
| | | B | ||
| | | This interval... | ||
* Approximates the [[27/16|Pythagorean Major Sixth]], 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 | |||
::* It is the optimal choice for use as the interval between the Tonic and the Major Sixth scale degree above it in a fixed-pitch Bass-Up Diatonic system due to it creating a wolf fifth in one of the two possible ideal locations within the main scale | |||
* Is reachable through stacking six of this system's approximation of the low complexity Undecimal Neutral Second | |||
* Is reachable through stacking eight of this system's approximation of the Apotome as a consequence of Mercator's comma being tempered out in this system | |||
|- | |- | ||
| 121 | | 121 | ||
| Line 2,272: | Line 2,288: | ||
| [[22/13]] | | [[22/13]] | ||
| 144/85 | | 144/85 | ||
| | | RM6 | ||
| | | Wide Major Sixth | ||
| | | F\, Et>+ | ||
| | | This interval... | ||
* Approximates the [[13/11|Neo-Gothic Major Sixth]], and thus... | |||
:* Can be used in Western-Classical-based harmony and Neo-Medieval harmony very easily | |||
:* Has additional applications in Paradiatonic harmony, particularly... | |||
::* When it is found in what is otherwise the traditional Diatonic context of a Major key | |||
* Is very useful for essentially tempered chords such as gentle chords, ainic chords and nicolic chords | |||
|- | |- | ||
| 122 | | 122 | ||