A-team: Difference between revisions
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(***) 65/64 and other commas only tempered out by 13edo | (***) 65/64 and other commas only tempered out by 13edo | ||
=== | ==="Superpythagorean" tunings for A-Team=== | ||
In general sharper subfourths are better if you don't care about approximating 5/4 and only care about optimizing the 4:9:21 triad. One tradeoff is that small steps in the oneirotonic scale get smaller than 1/3-tones (as in 18edo) and become quarter-tones (as in 23edo) and thus become less melodically recognizable. | In general sharper subfourths are better if you don't care about approximating 5/4 and only care about optimizing the 4:9:21 triad. One tradeoff is that small steps in the oneirotonic scale get smaller than 1/3-tones (as in 18edo) and become quarter-tones (as in 23edo) and thus become less melodically recognizable. | ||
[[23edo]] | By the time we get to [[23edo]], two tones represent 14/11 and 33/26, rather than 5/4. | ||
[[18edo]] (466.67 cents) is an edge case, as it tempers out 81/80 but fails to approximate more diverse intervals with the same identifications used by 13edo and 44edo. | [[18edo]] (466.67 cents) is an edge case, as it tempers out 81/80 but fails to approximate more diverse intervals with the same identifications used by 13edo and 44edo. | ||