1889edo: Difference between revisions
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+regular temperament properties |
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=== Subsets and supersets === | === Subsets and supersets === | ||
1889edo is the 290th [[prime edo]]. | 1889edo is the 290th [[prime edo]]. | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" |[[Subgroup]] | |||
! rowspan="2" |[[Comma list|Comma List]] | |||
! rowspan="2" |[[Mapping]] | |||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | |||
! colspan="2" |Tuning Error | |||
|- | |||
![[TE error|Absolute]] (¢) | |||
![[TE simple badness|Relative]] (%) | |||
|- | |||
|2.3 | |||
|{{monzo|2994 -1889}} | |||
|{{mapping|1889 2994}} | |||
| -0.0012 | |||
| 0.0012 | |||
| 0.1889 | |||
|- | |||
|2.3.5 | |||
|{{monzo|54 -37 2}}, {{monzo|-66 -36 53}} | |||
|{{mapping|1889 2994 4386}} | |||
| +0.0104 | |||
| 0.0163 | |||
| 2.57 | |||
|- | |||
|2.3.5.7 | |||
|4375/4374, 3955078125/3954653486, {{monzo|-57 16 10 3}} | |||
|{{mapping|1889 2994 4386 5303}} | |||
| +0.0131 | |||
| 0.0149 | |||
| 2.35 | |||
|- | |||
|2.3.5.7.11 | |||
|4375/4374, 151263/151250, 820125/819896, 1879453125/1879048192 | |||
|{{mapping|1889 2994 4386 5303 6535}} | |||
| +0.0055 | |||
| 0.0201 | |||
| 3.16 | |||
|- | |||
|2.3.5.7.11.13 | |||
|4375/4374, 4225/4224, 6656/6655, 4100625/4100096, 151263/151250 | |||
|{{mapping|1889 2994 4386 5303 6535 6990}} | |||
| +0.0084 | |||
| 0.0194 | |||
| 3.05 | |||
|- | |||
|2.3.5.7.11.13.17 | |||
|4375/4374, 12376/12375, 4225/4224, 14400/14399, 14875/14872, 194481/194480 | |||
|{{mapping|1889 2994 4386 5303 6535 6990 7721}} | |||
| +0.0120 | |||
| 0.0200 | |||
| 3.15 | |||
|- | |||
|2.3.5.7.11.13.17.19 | |||
|4375/4374, 12376/12375, 5985/5984, 4225/4224, 14400/14399, 6175/6174, 61965/61952 | |||
|{{mapping|1889 2994 4386 5303 6535 6990 7721 8024}} | |||
| +0.0167 | |||
| 0.0226 | |||
| 3.56 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per 8ve | |||
! Generator<br>(reduced)* | |||
! Cents<br>(reduced)* | |||
! Associated<br>Ratio* | |||
! Temperaments | |||
|- | |||
|1 | |||
|392\1889 | |||
|249.021 | |||
|{{monzo|-26 18 1}} | |||
|[[Monzismic]] | |||
|- | |||
|1 | |||
|707\1889 | |||
|449.127 | |||
|35/27 | |||
|[[Semidimi]] | |||
|} | |||
|} | |||
[[Category:Monzismic]] | [[Category:Monzismic]] | ||