1848edo: Difference between revisions

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In the 7-limit, it supports [[domain]] and [[akjayland]].
In the 7-limit, it supports [[domain]] and [[akjayland]].


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}}.
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[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
[[Category:Equal divisions of the octave|####]]
 
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
!Periods
per Octave
!Generator
(Reduced)
!Cents
(Reduced)
!Associated
Ratio
!Temperaments
|-
|3
|281\1848
|182.467
|10/9
|[[Domain]]
|-
|12
|3\1848
|1.948
|32805/32768
|[[Atomic]]
|-
|21
|901\1848
(21\1848)
|585.065
(13.636)
|91875/65536
(126/125)
|[[Akjayland]]
|-
|56
|767\1848
(21\1848)
|498.052
(13.636)
|4/3
(126/125)
|[[Barium]]
|}<!-- 4-digit number -->
[[Category:Akjayland]]
[[Category:Akjayland]]
[[Category:Atomic]]
[[Category:Atomic]]