159edo/Interval names and harmonies: Difference between revisions

Aura (talk | contribs)
No edit summary
Aura (talk | contribs)
No edit summary
Line 269: Line 269:
:* It serves as a chromatic semitone in the 5-limit Diatonic settings that are common to Western-Classical-based harmony, and thus...
:* It serves as a chromatic semitone in the 5-limit Diatonic settings that are common to Western-Classical-based harmony, and thus...
::* It separates Pythagorean Major intervals from Ptolemaic Minor Intervals, and likewise separates Ptolemaic Major intervals from Pythagorean Minor intervals
::* It separates Pythagorean Major intervals from Ptolemaic Minor Intervals, and likewise separates Ptolemaic Major intervals from Pythagorean Minor intervals
* As a further consequence of the [[schisma]] being tempered out in this system, this interval is one half of this system's approximation of the Classic Major Second
* Is one half of this system's approximation of the Classic Major Second as a consequence of the [[schisma]] being tempered out in this system
* Is the closest approximation of [[13edo]]'s own Minor Second in this system, and thus...
* Is the closest approximation of [[13edo]]'s own Minor Second in this system, and thus...
:* Can be used in [[Warped diatonic|Warped Diatonic]] 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 [[Warped diatonic|Warped Diatonic]] 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 558: Line 558:
:* Is the whole tone that is used as a reference interval in [[Diatonic, Chromatic, Enharmonic, Subchromatic|diatonic-and-chromatic-style]] interval logic in this system as it pertains to both semitones and quartertones, and thus...
:* Is the whole tone that is used as a reference interval in [[Diatonic, Chromatic, Enharmonic, Subchromatic|diatonic-and-chromatic-style]] interval logic in this system as it pertains to both semitones and quartertones, and thus...
::* It sees usage in Paradiatonic and Parachromatic harmonies in addition to the more obvious Diatonic-related uses
::* It sees usage in Paradiatonic and Parachromatic harmonies in addition to the more obvious Diatonic-related uses
* Is one fourth of this system's approximation of the Classic Minor Sixth as a consequence of the schisma being tempered out in this system
* Is reachable through stacking three of this system's approximation of the Septimal Subfourth and octave-reducing, and thus...
:* It readily serves as an Oneirotonic whole tone in this system
* Is one of two intervals that serve as the closest approximation of the 12edo Major Second found in this system, and thus...
* Is one of two intervals that serve as the closest approximation of the 12edo Major 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
:* 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 an interval with unexpected xenharmonic potential in this system despite its familiarity as...
:* It can be exploited in Oneirotonic melodies and harmonies due to being reachable through stacking three of this system's approximation of the Septimal Subfourth and octave-reducing
|-
| 28
| 28
| 211.3207547
| 211.3207547