Latitude: Difference between revisions
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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 ("formal thirds") 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.]] | |||
Here is a table of the latitude of medials up to ±30° in various EDOs, with respect to their fifth as the axis: | Here is a table of the latitude of medials up to ±30° in various EDOs, with respect to their fifth as the axis: | ||