27720edo: Difference between revisions
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27720edo is the 23rd superabundant EDO, counting 95 proper divisors, and 25th highly composite EDO, with a proper index of about 3.05. 27720 is the least common multiple of integers of 1 through 12, with a large jump from [[2520edo]] caused by the prime factor 11. | 27720edo is the 23rd superabundant EDO, counting 95 proper divisors, and 25th highly composite EDO, with a proper index of about 3.05. 27720 is the least common multiple of integers of 1 through 12, with a large jump from [[2520edo]] caused by the prime factor 11. | ||
The prime subgroups best represented by this EDO are 2, 3, 5, 7, 13, 23, 37, 43, 53, 59, 61, 67, 71, 73, 87 | The prime subgroups best represented by this EDO are 2, 3, 5, 7, 13, 23, 37, 43, 53, 59, 61, 67, 71, 73, 87. The mapping for 3/2 in 27720edo derives from [[1848edo]]. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|27720}} | {{Harmonics in equal|27720}} | ||
== Contorsion table == | == Contorsion table == | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 23: | Line 24: | ||
|5 | |5 | ||
|4 | |4 | ||
|6930edo | |[[6930edo]] | ||
|- | |- | ||
|7 | |7 | ||
|60 | |60 | ||
|462edo | |[[462edo]] | ||
|- | |- | ||
|11 | |11 | ||
|45 | |45 | ||
|616edo | |[[616edo]] | ||
|- | |- | ||
|13 | |13 | ||
|24 | |24 | ||
|1155edo | |[[1155edo]] | ||
|- | |- | ||
|17 | |17 | ||