Latitude: Difference between revisions

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Deformalization (as in, got rid of the reference to "formal thirds")
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Medial pairs with a higher latitude than ±45° tend to sound more dissonant against the axis or root than lower-latitude medials, and extremely low-latitude interval pairs may not sound distinct from each other. Higher latitude enables "cross-tonality", where both intervals in the pair can be played at once in the same chord, as in suspended or [[extraclassical tonality|arto/tendo]] chords.
Medial pairs with a higher latitude than ±45° tend to sound more dissonant against the axis or root than lower-latitude medials, and extremely low-latitude interval pairs may not sound distinct from each other. Higher latitude enables "cross-tonality", where both intervals in the pair can be played at once in the same chord, as in suspended or [[extraclassical tonality|arto/tendo]] chords.


[[File:Imagemeeeeeeenememe.png|thumb|A depiction of the medial intervals ("formal thirds") of fifth-bounded triads by latitude.]]
[[File:Imagemeeeeeeenememe.png|thumb|A depiction of the medial intervals of fifth-bounded triads by latitude.]]


[[File:Jorjor wel.png|thumb|An analogous depiction for harmony bounded by a tempered ~[[7/3]] in [[tritave]] systems; note that categorical names are based on [[4L 5s (3/1-equivalent)]] with 1-indexing.]]
[[File:Jorjor wel.png|thumb|An analogous depiction for harmony bounded by a tempered ~[[7/3]] in [[tritave]] systems; note that categorical names are based on [[4L 5s (3/1-equivalent)]] with 1-indexing.]]