User:Aura/On 159edo Music Theory (Part 2): Difference between revisions

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  ''It is recommended that one read [[User:Aura/On 159edo Music Theory (Part 1)|Part 1]] prior to reading this article''
  ''It is recommended that one read [[User:Aura/On 159edo Music Theory (Part 1)|Part 1]] prior to reading this article''


Now that we have covered the intervals of [[159edo]] as well as the possible trines, it's time we begin looking at possible triads.  To lay a few ground rules, the most consonant triads tend not only to involve the closest approximations of consonant just intervals, but the trine that forms their backbone is also consonant in as of itself.  One should note that even in the best-case scenarios, fourth-bounded triads will be ambisonant, as there is not much room for full-fledged consonance in triads like these.
Now that we have covered the intervals of [[159edo]] as well as the possible trines, it's time we begin looking at possible triads.  To lay a few ground rules, the most consonant triads tend not only to involve the closest approximations of consonant just intervals, but the trine that forms their backbone is also consonant in as of itself.  One should note that even in the best-case scenarios, fourth-bounded triads will be ambisonant, as there is not much room for full-fledged consonance in triads like these due to the location of trill thresholds relative to both the top and bottom notes of the triad.
 
== Perfect Fifth-Bounded Triads ==
Because 159edo has so many notes, there are a lot of triads to go over just counting those bounded by the perfect fifth.

Revision as of 07:10, 31 March 2026

It is recommended that one read Part 1 prior to reading this article

Now that we have covered the intervals of 159edo as well as the possible trines, it's time we begin looking at possible triads. To lay a few ground rules, the most consonant triads tend not only to involve the closest approximations of consonant just intervals, but the trine that forms their backbone is also consonant in as of itself. One should note that even in the best-case scenarios, fourth-bounded triads will be ambisonant, as there is not much room for full-fledged consonance in triads like these due to the location of trill thresholds relative to both the top and bottom notes of the triad.

Perfect Fifth-Bounded Triads

Because 159edo has so many notes, there are a lot of triads to go over just counting those bounded by the perfect fifth.