53edo: Difference between revisions

Tristanbay (talk | contribs)
Prime harmonics: Actually, added 67 to collapsed 2nd table instead
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Tristanbay (talk | contribs)
Higher-limit JI: Undid prime 67 in higher-prime table
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Line 724: Line 724:


As shown below, there is also a cluster of usable higher primes starting at 71; even 89 (4.84{{c}} flat), 97 (4.63{{c}} sharp) and 101 (2.6{{c}} sharp) are usable if placed in just the right context. (Note that prime 67 is almost perfect off.)
As shown below, there is also a cluster of usable higher primes starting at 71; even 89 (4.84{{c}} flat), 97 (4.63{{c}} sharp) and 101 (2.6{{c}} sharp) are usable if placed in just the right context. (Note that prime 67 is almost perfect off.)
{{Harmonics in equal|53|columns=5|start=19|title=Approximation of large prime harmonics in 53edo}}
{{Harmonics in equal|53|columns=4|start=20|title=Approximation of large prime harmonics in 53edo}}


This makes 53edo excellent (for its size) in the 2.3.5.7.11.13.19.23.37.41.71.73(.79.83.101) subgroup, although some higher error primes like 11 and 23 require the right context to be convincing.
This makes 53edo excellent (for its size) in the 2.3.5.7.11.13.19.23.37.41.71.73(.79.83.101) subgroup, although some higher error primes like 11 and 23 require the right context to be convincing.