Adaptive diatonic interval names: Difference between revisions
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If there is only one type of major or minor (not including submajor or supraminor), the qualifier on major or minor (i.e. penta- or magi-) is removed. | If there is only one type of major or minor (not including submajor or supraminor), the qualifier on major or minor (i.e. penta- or magi-) is removed. | ||
[[File:Composite 2.png|thumb|420x420px|See? Nonsensical penta- names are all gone!]] | [[File:Composite 2.png|thumb|420x420px|See? Nonsensical penta- names are all gone!]] | ||
== Functioning for various edos == | |||
{| class="wikitable" | |||
|+ | |||
!EDO | |||
!Notes | |||
|- | |||
|1 | |||
|Functional: unison and octave. | |||
|- | |||
|2 | |||
|Mostly functional: unison, octave, and tritone, which is read as a perfect fifth and perfect fourth simultaneously. | |||
|- | |||
|3 | |||
|Oneirotonic; switches places of fifth and fourth and no perfect intervals. Neutral fifth is 400c; neutral fourth is 800c. | |||
|- | |||
|4 | |||
|Extreme case: 300c and 900c intervals are neutral fourth and fifth respectively. Alternatively, neutral third and sixth respectively. | |||
|- | |||
|5 | |||
|Functional as in standard notation. 4ths and fifths have exact same priority. | |||
|- | |||
|6 | |||
|Oneirotonic; 600c interval is "supermajor" fifth. | |||
|- | |||
|7 | |||
|Functional as in standard notation. | |||
|- | |||
|8 | |||
|Oneirotonic; switches places of fifth and fourth and no perfect intervals. | |||
|- | |||
|9 | |||
|Functional. Major second and minor third coincide. | |||
|- | |||
|10 | |||
|Functional. 5edo + neutrals. | |||
|- | |||
|11 | |||
|Functional. Most intervals are neutral. | |||
|- | |||
|12 | |||
|Functional as in standard notation. | |||
|- | |||
|13 | |||
|Oneirotonic; switches places of fifth and fourth and no perfect intervals. | |||
|- | |||
|14 | |||
|Functional. 7edo + major/minor intervals which are also perfect interordinals. | |||
|- | |||
|15 | |||
|Functional. | |||
|- | |||
|16 | |||
|Functional. | |||
|- | |||
|17 | |||
|Functional. Contains the nonsensical pentamajor that's resolved by the compositing process. | |||
|- | |||
|18 | |||
|Oneirotonic; switches places of fifth and fourth and no perfect intervals. | |||
|- | |||
|19+ | |||
|Functional. | |||
|} | |||
{{Todo|Add info|inline=1|text=Find out what edo ADIN stops working at.}} | |||
== Oneirotonic extension == | |||
[[File:Oneieh.png|thumb|18edo with oneirotonic vs. diatonic schemes compared. Note the lack of unison, octave, or perfect fourth/fifth in diatonic, and the tritone intervals in oneirotonic.]] | |||
One possible extension to handle edos with an oneirotonic fifth (3, 6, 8, 13, and 18) is to use the neutralized oneirotonic scale as the basis instead of the neutralized diatonic scale. In this case, things function exactly the same as before, but based on oneirotonic instead of diatonic. The additional degree may be called a median or tritone - special tritone labels are not used as the semioctave is always the neutral tritone. | |||