User:Xenllium/Ed7/4: Difference between revisions
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Division of 7/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. The utility of 7/4 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony. Many, though not all, of these scales have a perceptually important false octave, with various degrees of accuracy. | Division of 7/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. The question of equivalence has not even been posed yet. The utility of 7/4 (or another seventh) as a base though, is apparent by being used at the base of so much modern tonal harmony. Many, though not all, of these scales have a perceptually important false octave, with various degrees of accuracy. | ||
Incidentally, one way to treat 7/4 as an equivalence is the use of the 4:5:6:(7) chord as the fundamental complete sonority in a very similar way to the 3:4:5:(6) chord in meantone. Whereas in meantone it takes three 4/3 to get to 6/5, here it takes three 5/4 to get to 7/6 (tempering out the comma 392/375). So, doing this yields 5-, 7-, and 12-note [[mos]], just like meantone. While the notes are rather closer together, the scheme is exactly identical to meantone. "Microdiatonic" might be a perfect term for it because it uses a scheme that turns out exactly identical to meantone, though severely compressed. | Incidentally, one way to treat 7/4 as an equivalence is the use of the 4:5:6:(7) chord as the fundamental complete sonority in a very similar way to the 3:4:5:(6) chord in meantone. Whereas in meantone it takes three 4/3 to get to 6/5, here it takes three 5/4 to get to 7/6 (tempering out the comma 392/375). So, doing this yields 5-, 7-, and 12-note [[mos scale]]s, just like meantone. While the notes are rather closer together, the scheme is exactly identical to meantone. "Microdiatonic" might be a perfect term for it because it uses a scheme that turns out exactly identical to meantone, though severely compressed. | ||
Where examples of this particular temperament in use are concerned, they are already everywhere, just with notes which are rather farther apart. | Where examples of this particular temperament in use are concerned, they are already everywhere, just with notes which are rather farther apart. | ||
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* [[43ed7/4]] | * [[43ed7/4]] | ||
[[Category:Ed7/4| ]] <!-- main article --> | [[Category:Ed7/4| ]] <!-- main article --> | ||
[[Category:Edonoi]] | |||
[[Category:Lists of scales]] | |||