727edo: Difference between revisions
m please put the table below the contents part, plus doing a selected intervals table for just one interval is questionable |
ArrowHead294 (talk | contribs) mNo edit summary |
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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 | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Comma list|Comma list]] | ||
! rowspan="2" |Optimal<br>8ve | ! rowspan="2" | [[Mapping]] | ||
! colspan="2" |Tuning | ! 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| -1152 727}} | | {{monzo| -1152 727}} | ||
| {{mapping|727 1152}} | | {{mapping|727 1152}} | ||
| 0.1394 | | +0.1394 | ||
| 0.1394 | | 0.1394 | ||
| 8.45 | | 8.45 | ||
| Line 32: | Line 33: | ||
| {{monzo| 8 14 -13}}, {{monzo| -96 43 12}} | | {{monzo| 8 14 -13}}, {{monzo| -96 43 12}} | ||
| {{mapping|727 1152 1688}} | | {{mapping|727 1152 1688}} | ||
| 0.1028 | | +0.1028 | ||
| 0.1250 | | 0.1250 | ||
| 7.57 | | 7.57 | ||
| Line 39: | Line 40: | ||
| 703125/702464, 5250987/5242880, 43046721/42875000 | | 703125/702464, 5250987/5242880, 43046721/42875000 | ||
| {{mapping|727 1152 1688 2041}} | | {{mapping|727 1152 1688 2041}} | ||
| 0.0693 | | +0.0693 | ||
| 0.1229 | | 0.1229 | ||
| 7.45 | | 7.45 | ||
| Line 46: | Line 47: | ||
| 24057/24010, 160083/160000, 137781/137500, 496125/495616 | | 24057/24010, 160083/160000, 137781/137500, 496125/495616 | ||
| {{mapping|727 1152 1688 2041 2515}} | | {{mapping|727 1152 1688 2041 2515}} | ||
| 0.0561 | | +0.0561 | ||
| 0.1130 | | 0.1130 | ||
| 6.84 | | 6.84 | ||
| Line 53: | Line 54: | ||
| 729/728, 1716/1715, 78975/78848, 34398/34375, 160083/160000 | | 729/728, 1716/1715, 78975/78848, 34398/34375, 160083/160000 | ||
| {{mapping|727 1152 1688 2041 2515 2690}} | | {{mapping|727 1152 1688 2041 2515 2690}} | ||
| 0.0631 | | +0.0631 | ||
| 0.1043 | | 0.1043 | ||
| 6.32 | | 6.32 | ||
| Line 60: | Line 61: | ||
=== 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* | ||
! Associated<br> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 74: | Line 76: | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||