29edo/Unque's compositional approach: Difference between revisions

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 |C - vD♭ - E♭ - F - vG♭ -vA♭ - B♭ - C
 |Wolf Locrian
+|}
+=== Chromatic Genus ===
+The Chromatic Genus is a scale used by Ancient Greek musicians, and is built by [[Tetrachord|splitting the perfect fourth]] into a minor third and two semitones; these semitones could be equal in some tunings, but were typically not so.  29edo can approximate this scale in three main ways: the neutral variant where the semitones are both minor seconds, the arto variant where the semitones are both chromata, and the Pythagorean variant where one of each type of semitone is used.  The Pythagorean variant of the scale can be further divided into left-hand and right-hand variants, depending on the order in which the semitones are placed.
+The arto tuning of the chromatic genus is particularly notable since the arto third bisects the fourth, and the chroma bisects the arto third; because of these relationships, the number of minor thirds that occur in the modes of that scale are increased, as the third can be reached by one large step or by two small steps.
+Here, I will notate the step pattern using s for semitones, L for minor thirds, and | for the separation between the two disjunct tetrachords.
+{| class="wikitable"
+|+Modes of Neutral-Chromatic
+!Pattern
+!Notation
+!Greek Name
+|-
+|<nowiki>ssL | ssL</nowiki>
+|C - D♭ - E𝄫 - F - G - A♭ - B𝄫 - C
+|Dorian
+|-
+|<nowiki>sL | ssLs</nowiki>
+|C - D♭ - E - F♯ - G - A♭ - B - C
+|Hypolydian
+|-
+|<nowiki>L | ssLss</nowiki>
+|C - D♯ - E♯ - F - G♭ - A♯ - B - C
+|Hypophrygian
+|-
+|<nowiki>| ssLssL</nowiki>
+|C - D - E♭ - F♭ - G - A♭ - B𝄫 - C
+|Hypodorian
+|-
+|<nowiki>ssLssL |</nowiki>
+|C - D♭ - E𝄫 - F - G♭ - A𝄫 - B♭ - C
+|Mixolydian
+|-
+|<nowiki>sLssL | s</nowiki>
+|C - D♭ - E - F - G♭ - A - B - C
+|Lydian
+|-
+|<nowiki>LssL | ss</nowiki>
+|C - D♯ - E - F - G♯ - A♯ - B - C
+|Phrygian
+|}
+{| class="wikitable"
+|+Modes of Arto-Chromatic
+!Pattern
+!Notation
+!Greek Name
+|-
+|<nowiki>ssL | ssL</nowiki>
+|C - ^D♭ - vE♭ - F - G - ^A♭ - vB♭ - C
+|Dorian
+|-
+|<nowiki>sL | ssLs</nowiki>
+|C - ^D♭ - vE - vF♯ - G - ^A♭ - vB - C
+|Hypolydian
+|-
+|<nowiki>L | ssLss</nowiki>
+|C - ^D - ^E - vF♯ - G - ^A - vB - C
+|Hypophrygian
+|-
+|<nowiki>| ssLssL</nowiki>
+|C - D - ^E♭ - vF♯ - G - ^A♭ - vB♭ - C
+|Hypodorian
+|-
+|<nowiki>ssLssL |</nowiki>
+|C - ^D♭ - vE♭ - F - ^G♭ - vA♭ - B♭ - C
+|Mixolydian
+|-
+|<nowiki>sLssL | s</nowiki>
+|C - ^D♭ - vE - F - ^G♭ - vA - vB - C
+|Lydian
+|-
+|<nowiki>LssL | ss</nowiki>
+|C - ^D - vE - F - ^G - ^A - vB - C
+|Phrygian
+|}
+{| class="wikitable"
+|+Modes of Pyth-Chromatic
+!Pattern
+!Notation (LH)
+!Notation (RH)
+!Greek Name
+|-
+|<nowiki>ssL | ssL</nowiki>
+|C - D♭ - ^E𝄫 - F - G - A♭ - ^B𝄫 - C
+|C - ^D♭ - ^E𝄫 - F - G - ^A♭ - ^B𝄫 - C
+|Dorian
+|-
+|<nowiki>sL | ssLs</nowiki>
+|C - ^D♭ - E - F♯ - G - ^A♭ - B - C
+|C - D♭ - vE - vF♯ - G - A♭ - vB - C
+|Hypolydian
+|-
+|<nowiki>L | ssLss</nowiki>
+|C - vD♯ - vE♯ - vF - G♭ - vA - vB - C
+|C - vD♯ - vE♯ - F - G♭ - vA - B - C
+|Hypophrygian
+|-
+|<nowiki>| ssLssL</nowiki>
+|C - D - E♭ - ^F♭ - G - A♭ - ^B𝄫 - C
+|C - D - ^E♭ - ^F♭ - G - ^A♭ - ^B𝄫 - C
+|Hypodorian
+|-
+|<nowiki>ssLssL |</nowiki>
+|C - D♭ - ^E𝄫 - F - G♭ - ^A𝄫 - B♭ - C
+|C - ^D♭ - ^E𝄫 - F - ^G♭ - ^A𝄫 - B♭ - C
+|Mixolydian
+|-
+|<nowiki>sLssL | s</nowiki>
+|C - ^D♭ - E - F - ^G♭ - A - B - C
+|C - D♭ - vE - F - G♭ - vA - vB - C
+|Lydian
+|-
+|<nowiki>LssL | ss</nowiki>
+|C - vD♯ - vE - F - vG♯ - vA♯ - vB - C
+|C - vD♯ - E - F - vG♯ - vA♯ - B - C
+|Phrygian
 |}