159edo/Interval names and harmonies: Difference between revisions
No edit summary |
I finally made it to the Pythagorean Major Second. Suffice to say that I still have a lot of work to do, however... |
||
| Line 248: | Line 248: | ||
| Artoneutral Second, Lesser Super-Augmented Prime | | Artoneutral Second, Lesser Super-Augmented Prime | ||
| Ed<, Dt#<↓ | | Ed<, Dt#<↓ | ||
| As one of two Neutral Seconds in this system, this interval is notable for being half of the Neo-Gothic Minor Third. | | As one of two Neutral Seconds in this system, this interval is notable for being half of the Neo-Gothic Minor Third, though it is also sometimes used in much the same way as 24edo's own Neutral Second. | ||
|- | |- | ||
| 20 | | 20 | ||
| Line 260: | Line 260: | ||
| Tendoneutral Second, Greater Super-Augmented Prime | | Tendoneutral Second, Greater Super-Augmented Prime | ||
| Ed>, Dt#>↓ | | Ed>, Dt#>↓ | ||
| As one of two Neutral Seconds in this system, this interval is the one that most closely resembles the [[low-complexity JI]] Neutral Second, and is used in much the same way as 24edo's own Neutral Second. | | As one of two Neutral Seconds in this system, this interval is the one that most closely resembles the [[low-complexity JI]] Neutral Second, and thus, it is frequently used in much the same way as 24edo's own Neutral Second. | ||
|- | |- | ||
| 21 | | 21 | ||
| Line 293: | Line 293: | ||
| ? | | ? | ||
| 425/384 | | 425/384 | ||
| | | rkM2, KN2 | ||
| | | Narrow Major Second | ||
| | | Ed>↑, E↓\, Dt#>, Fb\ | ||
| | | While this interval is large enough to act as a type of whole tone, it is worth noting that two of these add up to the approximation of the [[low-complexity JI]] Neutral Third in this system. | ||
|- | |- | ||
| 24 | | 24 | ||
| Line 305: | Line 305: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | kM2 | ||
| | | Ptolemaic Major Second | ||
| | | E↓, Fb | ||
| | | As the approximation of the Ptolemaic Major Second, this interval is used accordingly, however, it is worth noting that in this system, two of these add up to the approximation of the thirteenth subharmonic; furthermore, it is also one the intervals in this system that are essential in executing any sort of variation on Jacob Collier's "Four Magical chords" from his rendition of "In the Bleak Midwinter". | ||
|- | |- | ||
| 25 | | 25 | ||
| Line 317: | Line 317: | ||
| [[143/128]] | | [[143/128]] | ||
| 512/459 | | 512/459 | ||
| | | RkM2 | ||
| | | Artomean Major Second | ||
| | | E↓/, Fb/ | ||
| | | This interval has surprising utility in modulating to keys that are not found on the same circle of fifths owing to both its size and its ease of access through [[octave-reducing]] stacks of approximated [[low-complexity JI]] intervals. | ||
|- | |- | ||
| 26 | | 26 | ||
| Line 329: | Line 329: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | rM2 | ||
| | | Tendomean Major Second | ||
| | | E\, Fb↑\ | ||
| | | This interval is created from stacking two of this system's closet approximation of the [[12edo]] semitone, and thus, it is one of two intervals that come the closest to approximating the [[12edo]] whole tone found in this system. | ||
|- | |- | ||
| 27 | | 27 | ||
| Line 341: | Line 341: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | M2 | ||
| | | Pythagorean Major Second | ||
| | | E, Fb↑ | ||
| | | This interval is the standard-issue whole tone in this system as it is one of two intervals that come the closest to approximating the [[12edo]] whole tone, and the only one of the two that actually approximates the Pythagorean Major Second; furthermore, it 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. | ||
|- | |- | ||
| 28 | | 28 | ||