2048edo: Difference between revisions
Created page with "{{EDO intro|2048}} == Theory == {{Harmonics in equal|2048}} 2048edo has an excellent perfect fifth, which derives from 1024edo. It tempers out the breedsma (2401/2400) in the..." |
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2048edo has an excellent perfect fifth, which derives from 1024edo. It tempers out the breedsma (2401/2400) in the 7-limit, and supports the rank 3 breed temperament. | 2048edo has an excellent perfect fifth, which derives from 1024edo. It tempers out the breedsma (2401/2400) in the 7-limit, and supports the rank 3 breed temperament. | ||
2048edo is usable as high as 43-limit, with the 2048f val regular temperament having an error of 0.023 cents (0.04 edosteps) per octave, and the no-13s limit patent val has an error of only 0.019 cents/octave. | 2048edo is usable as high as 43-limit, with the 2048f val regular temperament having an error of 0.023 cents (0.04 edosteps) per octave, and the no-13s limit patent val is unambiguous and has an error of only 0.019 cents/octave. | ||
2048edo is the 11th power of two EDO. | 2048edo is the 11th power of two EDO. | ||
== 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]] (%) | |||
|- | |||
|2.3.5 | |||
|{{monzo|54, -37, 2}},{{monzo|-111, -12, 56}} | |||
|[{{val|2048 3246 4755}}] | |||
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|- | |||
|2.3.5.7 | |||
|2401/2400, {{monzo|-18, -13, 13, 3}}, {{monzo|49, -38, 0, 4}} | |||
|[{{val|2048 3246 4755 5749}}] | |||
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