159edo/Interval names and harmonies: Difference between revisions

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 == Harmonies ==
 Harmonies in 159edo frequently have to follow a variation on the Dinner Party Rules.  However, working with these rules in a system like this requires a more detailed list of "friends" and "enemies".  Thus, what will be listed here are a series of basic trines, triads and tetrads.
+First, the trines, of which there are already a noticeable abundance.
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+Next, the triads, which, when layered on top of a trine, end up inheriting the trine's type, and as a consequence, there are even more triads than there are trines.
+{| class="mw-collapsible mw-collapsed wikitable center-1"
+|+ style=white-space:nowrap | Table of 159edo Triads
+|-
+! Name
+! Notation (from D)
+! Steps
+! Approximate JI
+! Notes
+|-
+| Ptolemaic Major
+| D, F#↓, A
+| 0, 51, 93
+| 4:5:6
+| This is the first of two triads that can be considered fully-resolved in Western Classical Harmony
+|-
+| Ptolemaic Minor
+| D, F↑, A
+| 0, 42, 93
+| 10:12:15
+| This is the second of two triads that can be considered fully-resolved in Western Classical Harmony
+|-
+| Pythagorean Major
+| D, F#, A
+| 0, 54, 93
+| 64:81:96
+| This dissonant triad is common in Western Classical, Medieval, and Neo-Medieval Harmony
+|-
+| Pythagorean Minor
+| D, F, A
+| 0, 42, 93
+| 54:64:81
+| This dissonant triad is common in Western Classical, Medieval, and Neo-Medieval Harmony
+|-
+|}
 == References ==