Ed8/3: Difference between revisions
CompactStar (talk | contribs) removing the years-old references to "EdXI" |
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'''Ed8/3'' means division | todo: improve | ||
'''Ed8/3''' means division of 8/3 into n equal parts. | |||
== Division of 8/3 into n equal parts == | == Division of 8/3 into n equal parts == | ||
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Incidentally, one way to treat 8/3 or 11/4 as an equivalence is the use of the 3:4:5:6:(8)/4:5:6:8:(11) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to 5/1, here it takes twelve octaves to get to 134217718/98415 (tempering out the schisma) or 1071794405/262144 (tempering out the comma |-29 0 8 0 8>). So, doing this yields 7, 10 and 17 or 13, 16 or 19 note MOS. While the notes are rather farther apart, the scheme is uncannily similar to the [[Mohajira]] (within 8/3) and [[Magic]] (within 11/4) temperaments. The terms for it are the "Macromohajira"/"Macromagic" Bolivarian mode (get your mind out of the ''other'' gutter, they don't have to do with ''[[wikipedia:Venezuela|that country that is there right now]]'', at least not particularly directly). Rather, they refer to a place that is slightly cleaner: | Incidentally, one way to treat 8/3 or 11/4 as an equivalence is the use of the 3:4:5:6:(8)/4:5:6:8:(11) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four 3/2 to get to 5/1, here it takes twelve octaves to get to 134217718/98415 (tempering out the schisma) or 1071794405/262144 (tempering out the comma |-29 0 8 0 8>). So, doing this yields 7, 10 and 17 or 13, 16 or 19 note MOS. While the notes are rather farther apart, the scheme is uncannily similar to the [[Mohajira]] (within 8/3) and [[Magic]] (within 11/4) temperaments. The terms for it are the "Macromohajira"/"Macromagic" Bolivarian mode (get your mind out of the ''other'' gutter, they don't have to do with ''[[wikipedia:Venezuela|that country that is there right now]]'', at least not particularly directly). Rather, they refer to a place that is slightly cleaner: | ||
Galveston Bay Temperament Area | Galveston Bay Temperament Area | ||