773edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|773}} == Theory == 773edo is consistent to the 7-odd-limit. Using the patent val, it tempers out 2401/2400, 328..." |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 13: | Line 13: | ||
== 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 | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[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 simple badness|Relative]] (%) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{monzo|-1225 773}} | | {{monzo|-1225 773}} | ||
| {{mapping|773 1225}} | | {{mapping|773 1225}} | ||
| 0.0862 | | +0.0862 | ||
| 0.0862 | | 0.0862 | ||
| 5.55 | | 5.55 | ||
| Line 32: | Line 33: | ||
| 32805/32768, {{monzo|65 85 -86}} | | 32805/32768, {{monzo|65 85 -86}} | ||
| {{mapping|773 1225 1795}} | | {{mapping|773 1225 1795}} | ||
| 0.0241 | | +0.0241 | ||
| 0.1125 | | 0.1125 | ||
| 7.25 | | 7.25 | ||
| Line 39: | Line 40: | ||
| 2401/2400, 32805/32768, {{monzo|20 22 -20 -3}} | | 2401/2400, 32805/32768, {{monzo|20 22 -20 -3}} | ||
| {{mapping|773 1225 1795 2170}} | | {{mapping|773 1225 1795 2170}} | ||
| 0.0299 | | +0.0299 | ||
| 0.0979 | | 0.0979 | ||
| 6.31 | | 6.31 | ||
| Line 46: | Line 47: | ||
| 2401/2400, 32805/32768, 137781/137500, 766656/765625 | | 2401/2400, 32805/32768, 137781/137500, 766656/765625 | ||
| {{mapping|773 1225 1795 2170 2674}} | | {{mapping|773 1225 1795 2170 2674}} | ||
| 0.0365 | | +0.0365 | ||
| 0.0886 | | 0.0886 | ||
| 5.71 | | 5.71 | ||
| Line 53: | Line 54: | ||
=== 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 72: | Line 74: | ||
| [[Helmholtz]] | | [[Helmholtz]] | ||
|} | |} | ||
<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 | |||