208edo: Difference between revisions
Review +1; note its relation to 104edo |
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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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" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
| Line 25: | Line 26: | ||
| 15625/15552, {{monzo| 57 -33 -2 }} | | 15625/15552, {{monzo| 57 -33 -2 }} | ||
| {{mapping| 208 330 483 }} | | {{mapping| 208 330 483 }} | ||
| | | −0.4301 | ||
| 0.5409 | | 0.5409 | ||
| 9.38 | | 9.38 | ||
| Line 32: | Line 33: | ||
| 2401/2400, 15625/15552, 179200/177147 | | 2401/2400, 15625/15552, 179200/177147 | ||
| {{mapping| 208 330 483 584 }} | | {{mapping| 208 330 483 584 }} | ||
| | | −0.3586 | ||
| 0.4845 | | 0.4845 | ||
| 8.40 | | 8.40 | ||
| Line 39: | Line 40: | ||
| 896/891, 2200/2187, 2401/2400, 3025/3024 | | 896/891, 2200/2187, 2401/2400, 3025/3024 | ||
| {{mapping| 208 330 483 584 720 }} | | {{mapping| 208 330 483 584 720 }} | ||
| | | −0.4330 | ||
| 0.4582 | | 0.4582 | ||
| 7.94 | | 7.94 | ||
| Line 46: | Line 47: | ||
| 325/324, 352/351, 364/363, 676/675, 2401/2400 | | 325/324, 352/351, 364/363, 676/675, 2401/2400 | ||
| {{mapping| 208 330 483 584 720 770 }} | | {{mapping| 208 330 483 584 720 770 }} | ||
| | | −0.4410 | ||
| 0.4187 | | 0.4187 | ||
| 7.26 | | 7.26 | ||
| 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 | ||
|- | |- | ||
| 1 | | 1 | ||
| 47\208 | | 47\208 | ||
| | | 271.15 | ||
| 1024/875 | | 1024/875 | ||
| [[Quasiorwell]] | | [[Quasiorwell]] | ||
| Line 78: | Line 80: | ||
| [[Quadritikleismic]] (7-limit) | | [[Quadritikleismic]] (7-limit) | ||
|} | |} | ||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | |||
[[Category:Metakleismic]] | |||
[[Category:Tolerant]] | |||
[[Category:Pentacircle]] | |||