638edo: Difference between revisions
+regular temperament properties |
Cleanup and correct the comma bases |
||
| Line 11: | Line 11: | ||
Since 638 factors as 2 × 11 × 29, 638edo has subset edos {{EDOs| 2, 11, 22, 29, 58, and 319 }}. | Since 638 factors as 2 × 11 × 29, 638edo has subset edos {{EDOs| 2, 11, 22, 29, 58, and 319 }}. | ||
==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" | [[Subgroup]] | ||
! rowspan="2" |[[Comma list|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" |Tuning Error | ! colspan="2" | Tuning Error | ||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2.3 | | 2.3 | ||
|{{monzo|-1011 638}} | | {{monzo| -1011 638 }} | ||
|{{ | | {{mapping| 638 1011 }} | ||
| 0.1223 | | +0.1223 | ||
| 0.1223 | | 0.1223 | ||
| 6.50 | | 6.50 | ||
|- | |- | ||
|2.3.5 | | 2.3.5 | ||
|{{monzo|-51 19 9}}, {{monzo|-16 35 -17}} | | {{monzo| -51 19 9 }}, {{monzo| -16 35 -17 }} | ||
|{{ | | {{mapping| 638 1011 1481 }} | ||
| 0.1869 | | +0.1869 | ||
| 0.1353 | | 0.1353 | ||
| 7.19 | | 7.19 | ||
|- | |- | ||
|2.3.5.7 | | 2.3.5.7 | ||
|4375/4374, 2100875/2097152, | | 4375/4374, 2100875/2097152, {{monzo| -11 5 11 -8 }} | ||
|{{ | | {{mapping| 638 1011 1481 1791 }} | ||
| 0.1556 | | +0.1556 | ||
| 0.1291 | | 0.1291 | ||
| 6.86 | | 6.86 | ||
|- | |- | ||
|2.3.5.7.11 | | 2.3.5.7.11 | ||
|3025/3024, 4375/4374, | | 3025/3024, 4375/4374, 825000/823543, 1265625/1261568 | ||
|{{ | | {{mapping| 638 1011 1481 1791 2207 }} | ||
| 0.1373 | | +0.1373 | ||
| 0.1212 | | 0.1212 | ||
| 6.44 | | 6.44 | ||
|- | |- | ||
|2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
|625/624, 729/728, 1575/1573, | | 625/624, 729/728, 1575/1573, 2200/2197, 823680/823543 | ||
|{{ | | {{mapping| 638 1011 1481 1791 2207 2361 }} | ||
| 0.1043 | | +0.1043 | ||
| 0.1330 | | 0.1330 | ||
| 7.07 | | 7.07 | ||
| Line 62: | Line 62: | ||
|+Table of rank-2 temperaments by generator | |+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 | ||
|- | |- | ||
|1 | | 1 | ||
|97\638 | | 97\638 | ||
|182.45 | | 182.45 | ||
|10/9 | | 10/9 | ||
|[[ | | [[Mitonic]] | ||
|- | |- | ||
|1 | | 1 | ||
|313\638 | | 313\638 | ||
|588.71 | | 588.71 | ||
|7/5 | | 7/5 | ||
|[[Untriton]] | | [[Untriton]] | ||
|- | |- | ||
|2 | | 2 | ||
|94\638 | | 94\638 | ||
|176.80 | | 176.80 | ||
|448/405 | | 448/405 | ||
|[[Quatracot]] | | [[Quatracot]] | ||
|} | |} | ||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
[[Category:Quatracot]] | [[Category:Quatracot]] | ||