159edo/Interval names and harmonies: Difference between revisions
Need to come up with more xen uses for none other than 12edo's major third... |
Finally got to the Pythagorean Major Third... |
||
Line 1,043: | Line 1,043: | ||
| [[121/96]] | | [[121/96]] | ||
| ? | | ? | ||
| | | [[34/27]] | ||
| rM3, rKd4 | | rM3, rKd4 | ||
| Tendomean Major Third, Tendomean Diminished Fourth | | Tendomean Major Third, Tendomean Diminished Fourth | ||
Line 1,052: | Line 1,052: | ||
:* It is useful for evoking the feel of 12edo in various ways, such as... | :* It is useful for evoking the feel of 12edo in various ways, such as... | ||
::* Creating the familiar augmented triads of 12edo | ::* Creating the familiar augmented triads of 12edo | ||
::* | ::* Performing modulatory maneuvers based around the aforementioned triads | ||
* Is very useful for [[essentially tempered chord]]s such as [[palingenetic chords]], and, oddly... | |||
:* It just so happens that stacking this interval with this system's approximation of the Quasi-Tempered Minor Third makes triads of just this sort in the [[27-odd-limit]] | |||
|- | |- | ||
| 54 | | 54 | ||
Line 1,065: | Line 1,066: | ||
| Pythagorean Major Third, Ptolemaic Diminished Fourth | | Pythagorean Major Third, Ptolemaic Diminished Fourth | ||
| F#, Gb↑ | | F#, Gb↑ | ||
| This interval | | This interval... | ||
* Approximates the [[81/64|Pythagorean Major Third]], and as such... | |||
:* Is a viable option in both melodic and harmonic motion in general, and in particular... | |||
::* It is a useful interval in Western-Classical-based Diatonic scales | |||
:* Can easily occur 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 Major Third from Medieval music's florid organum | |||
::* It can be used in creating a subtle instability in certain Diatonic harmonies | |||
* Is one half of this system's approximation of the Classic Minor Sixth as a consequence of the schisma being tempered out in this system, which... | |||
:* Leads to this interval being useful in forming oddly charming augmented triads | |||
* Moving up by seven of these with two octave-reductions is an unexpected alternative means for exploiting the frameshift comma, though this system's approximation of the Axirabian Limma remains essential to the process even in this case | |||
|- | |- | ||
| 55 | | 55 | ||
Line 1,685: | Line 1,696: | ||
| [[192/121]] | | [[192/121]] | ||
| ? | | ? | ||
| | | [[27/17]] | ||
| | | | ||
| | | |