Odim and udim: Difference between revisions

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m Noticed this page was uncategorised, so I added it to categories "7-limit" and "tritriadic scales"
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Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino|zarlino]], the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic_pairs#Starlingtet|starlingtet]].
Odim and udim are a pair of inversely related [[chord]]s of [[7-limit]] just intonation, [[5:6:7|1-6/5-7/5]] and [[30:35:42|1-7/6-7/5]] in any position and voicing. They may also be called the major and minor Huygens triads.  
[[Category:7-limit]]
 
They belong to a rank three [[subgroup]] of the [[7-limit]], 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.  
 
Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic scale]] 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[Subgroup temperaments#Starlingtet|starlingtet]].
 
[[Category:7-limit chords]]
[[Category:Tritriadic scales]]
[[Category:Tritriadic scales]]
{{todo|review|clarify}}