15edo: Difference between revisions
the main porcupine page doesn't have any info on the quill thing |
No edit summary |
||
| Line 10: | Line 10: | ||
== Theory == | == Theory == | ||
=== Composition theory === | |||
* [[User:Unque/15edo Composition Theory|Unque's approach]] - covers scales, chords, intervals, and functional harmony. | |||
* [[15edo/Vector's compositional guides|Vector's guides]] - covers the construction of scales, the kinds of chords found in 15edo, and a possible notation system. | |||
* [[Metallic harmony]] - harmony involving stacking sevenths instead of thirds; 15edo is one of the systems it is intended for. | |||
=== Tuning theory === | === Tuning theory === | ||
| Line 139: | Line 145: | ||
| | | | ||
|} | |} | ||
This gives 15edo a whole new set of pitch symmetries and modes of limited transposition. Coupled with the lack of a [[5L 2s|5L 2s diatonic scale]] and of a standard tritone, this tuning can be disorienting at first. Nonetheless, 15edo is notable for being the next-smallest edo after 9edo, 12edo and 14edo that contains recognizable major and minor triads. Under a stricter definition excluding 9edo and 14edo, this is a property noted in the works of theorists like [[Ivor Darreg]] and [[Easley Blackwood]]. In addition, because the guitar can be tuned symmetrically, from E to e (6th to 1st strings) unlike the 12-tone system on guitars, the learning curve is very manageable. All chords look the same modulated anywhere, and minor arpeggios are vertically stacked, making them very easy to play. 15-tone may be a promising start for anyone interested in xenharmony, due to its manageable number of tones and for containing the relatively popular 5edo. | This gives 15edo a whole new set of pitch symmetries and modes of limited transposition. Coupled with the lack of a [[5L 2s|5L 2s diatonic scale]] and of a standard tritone, this tuning can be disorienting at first. Nonetheless, 15edo is notable for being the next-smallest edo after 9edo, 12edo and 14edo that contains recognizable major and minor triads. Under a stricter definition excluding 9edo and 14edo, this is a property noted in the works of theorists like [[Ivor Darreg]] and [[Easley Blackwood]]. In addition, because the guitar can be tuned symmetrically, from E to e (6th to 1st strings) unlike the 12-tone system on guitars, the learning curve is very manageable. All chords look the same modulated anywhere, and minor arpeggios are vertically stacked, making them very easy to play. 15-tone may be a promising start for anyone interested in xenharmony, due to its manageable number of tones and for containing the relatively popular 5edo. | ||
| Line 148: | Line 156: | ||
{{Harmonics in equal|15}} | {{Harmonics in equal|15}} | ||
==Intervals== | ==Intervals== | ||
| Line 1,333: | Line 1,330: | ||
; [http://micro.soonlabel.com/15-ET/ XA 15-ET Directory] | ; [http://micro.soonlabel.com/15-ET/ XA 15-ET Directory] | ||
==Other info== | |||
==== Keyboard layouts ==== | |||
<gallery widths="300px"> | |||
File:15_tone_keyboard.png|Porcupine layout for 15edo | |||
File:Screen Shot 2020-04-23 at 11.59.17 PM.png|Hanson layout for 15edo | |||
File:15edo kb3.png|Zarlino layout for 15edo | |||
</gallery> | |||
==Further reading== | ==Further reading== | ||
=== Theory=== | === Theory=== | ||