Talk:Kite's thoughts on fifthspans: Difference between revisions
→Fifthward and fourthward distances for multi-ring EDOs?: (Also see Talk:Antipodes.) |
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[[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:37, 20 June 2024 (UTC) | [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:37, 20 June 2024 (UTC) | ||
: This is a fascinating idea, but there's a problem. In single-ring edos, we have negative fifthspans, which are in effect fourthspans. But in multi-ring edos, using your method, the fourthspans are completely unrelated to fifthspans. Look at 24edo: | |||
: fifthspans: 0 7 14 21 4 11 18 1 8 15 22 5 12... | |||
: fourthspans: 0 5 10 15 20 1 6 11 16 21 2 7 12... | |||
: Thus 1\24 has a fifthspan of 3.5 (or -8.5), but a fourthspan of 2.5 (or -9.5). Using fifthspans, 5\24 is quite remote, but using fourthspans it's very nearby. I suppose we could make a rule that fourthspans are not allowed, but that seems capricious to me. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 21:59, 29 June 2024 (UTC) | |||