EDOs to ETs: Difference between revisions

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m Reverted edits by The55edoEht (talk) to last revision by [[User:Wikispaces>FREEZE|Wikispaces>FREEZE]]
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Unlike in the dyadic approach, this mapping ends up equating intervals which are much closer together, and thus has a lower "error" from JI; in other words, the difference in sound between the tempered intervals and the ratios they are said to approximate is comparatively lower than in the dyadic approach. On the other hand, the ability of 10-EDO to suggest or imply harmonic identities based on the 5-limit is obscured here, since we don't end up treating (say) 720 cents as an approximation to 3/2, or 360 cents as an approximation to 5/4.
Unlike in the dyadic approach, this mapping ends up equating intervals which are much closer together, and thus has a lower "error" from JI; in other words, the difference in sound between the tempered intervals and the ratios they are said to approximate is comparatively lower than in the dyadic approach. On the other hand, the ability of 10-EDO to suggest or imply harmonic identities based on the 5-limit is obscured here, since we don't end up treating (say) 720 cents as an approximation to 3/2, or 360 cents as an approximation to 5/4.
{{todo|rework}}