3889edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|3889}} == Theory == 3889edo is consistent to the 27-odd-limit, tempering out 12376/12375, 14400/14399, 6175/6174, 8625/8624..." |
ArrowHead294 (talk | contribs) m Phormatting |
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" |[[Subgroup]] | |- | ||
! rowspan="2" |[[Comma list|Comma List]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | ! rowspan="2" | [[Mapping]] | ||
! colspan="2" |Tuning Error | ! rowspan="2" | Optimal<br />8ve Stretch (¢) | ||
! colspan="2" | Tuning Error | |||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{monzo|6164 -3889}} | | {{monzo|6164 -3889}} | ||
| {{mapping|3889 6164}} | | {{mapping|3889 6164}} | ||
| | | −0.0079 | ||
| 0.0079 | | 0.0079 | ||
| 2.56 | | 2.56 | ||
| Line 32: | Line 33: | ||
| {{monzo|-90 -15 49}}, {{monzo|56 -91 38}} | | {{monzo|-90 -15 49}}, {{monzo|56 -91 38}} | ||
| {{mapping|3889 6164 9030}} | | {{mapping|3889 6164 9030}} | ||
| | | −0.0062 | ||
| 0.0068 | | 0.0068 | ||
| 2.20 | | 2.20 | ||
| Line 39: | Line 40: | ||
| {{monzo|-4 17 1 -9}}, {{monzo|2 -20 14 -1}}, {{monzo|46 -14 -3 -6}} | | {{monzo|-4 17 1 -9}}, {{monzo|2 -20 14 -1}}, {{monzo|46 -14 -3 -6}} | ||
| {{mapping|3889 6164 9030 10918}} | | {{mapping|3889 6164 9030 10918}} | ||
| | | −0.0101 | ||
| 0.0089 | | 0.0089 | ||
| 2.88 | | 2.88 | ||
| Line 46: | Line 47: | ||
| 21437500/21434787, 47265625/47258883, 56953125/56942116, 104857600/104825259 | | 21437500/21434787, 47265625/47258883, 56953125/56942116, 104857600/104825259 | ||
| {{mapping|3889 6164 9030 10918 13454}} | | {{mapping|3889 6164 9030 10918 13454}} | ||
| | | −0.0129 | ||
| 0.0098 | | 0.0098 | ||
| 3.18 | | 3.18 | ||
| Line 53: | Line 54: | ||
| 123201/123200, 6656/6655, 1990656/1990625, 492128/492075, 29046875/29042496 | | 123201/123200, 6656/6655, 1990656/1990625, 492128/492075, 29046875/29042496 | ||
| {{mapping|3889 6164 9030 10918 13454 14391}} | | {{mapping|3889 6164 9030 10918 13454 14391}} | ||
| | | −0.0106 | ||
| 0.0103 | | 0.0103 | ||
| 3.34 | | 3.34 | ||
| Line 60: | Line 61: | ||
| 12376/12375, 14400/14399, 123201/123200, 37180/37179, 1990656/1990625, 361250/361179 | | 12376/12375, 14400/14399, 123201/123200, 37180/37179, 1990656/1990625, 361250/361179 | ||
| {{mapping|3889 6164 9030 10918 13454 14391 15896}} | | {{mapping|3889 6164 9030 10918 13454 14391 15896}} | ||
| | | −0.0075 | ||
| 0.0121 | | 0.0121 | ||
| 3.92 | | 3.92 | ||
| Line 67: | Line 68: | ||
=== 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 | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
| Line 80: | Line 82: | ||
| [[Pirate]] | | [[Pirate]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | |||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if | |||