1848edo: Difference between revisions
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1848 factors as 2^3 * 3 * 7 * 11. It is a superabundant number in the no-fives subgroup, that is if only numbers not divisible by 5 are counted. Its divisors are {{EDOs|1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924}}. | 1848 factors as 2^3 * 3 * 7 * 11. It is a superabundant number in the no-fives subgroup, that is if only numbers not divisible by 5 are counted. Its divisors are {{EDOs|1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924}}. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|1848}} | |||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" |Subgroup | |||
! rowspan="2" |[[Comma list]] | |||
! rowspan="2" |[[Mapping]] | |||
! rowspan="2" |Optimal | |||
8ve stretch (¢) | |||
! colspan="2" |Tuning error | |||
|- | |||
![[TE error|Absolute]] (¢) | |||
![[TE simple badness|Relative]] (%) | |||
|- | |||
|2.3 | |||
|{{Monzo|-2929, 1848}} | |||
|[{{val|1848 2929}}] | |||
|0.002192 | |||
|0.002192 | |||
|0.338 | |||
|- | |||
|2.3.5 | |||
|{{Monzo|-16, 35, -17}}, {{Monzo|129, -14, -46}} | |||
|[{{val|1848 2929 4291}}] | |||
|<nowiki>-0.005705</nowiki> | |||
|0.011311 | |||
|1.742 | |||
|- | |||
|2.3.5.7 | |||
|250047/250000, 645700815/645657712, {{Monzo|43, -1, -13, -4}} | |||
|[{{val|1848 2929 4291 5188}}] | |||
| -0.004748 | |||
|0.009935 | |||
|1.530 | |||
|- | |||
|2.3.5.7.11 | |||
|9801/9800, 250047/250000, 14348907/14348180, 67110351/67108864 | |||
|[{{val|1848 2929 4291 5188 6393}}] | |||
|<nowiki>-0.002686</nowiki> | |||
|0.009797 | |||
|1.509 | |||
|} | |||