1848edo: Difference between revisions

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Adopt template: Factorization; misc. cleanup
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=== Subsets and supersets ===
=== Subsets and supersets ===
1848 factors as 2<sup>3</sup> × 3 × 7 × 11. 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 }}.
Since 1848 factors into {{factorization|1848}}, 1848edo has subset edos {{EDOs| 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 }}.


[[5544edo]], which divides the edostep into three, provides a good correction for 13- and the 17-limit.
[[5544edo]], which divides the edostep into three, provides a good correction for 13- and the 17-limit.
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
|-
! Periods<br>per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br>Ratio
! Associated<br>Ratio*
! Temperaments
! Temperaments
|-
|-
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| 498.052<br>(7.143)
| 498.052<br>(7.143)
| 4/3<br>({{monzo|16 -13 2}})
| 4/3<br>({{monzo|16 -13 2}})
| [[Major Arcana]]
| [[Major arcana]]
|-
|-
| 44
| 44