393edo: Difference between revisions
m changed EDO intro to ED intro |
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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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |- | ||
|2.3 | ! rowspan="2" | [[Subgroup]] | ||
|{{monzo|623 -393}} | ! rowspan="2" | [[Comma list]] | ||
|{{mapping|393 623}} | ! rowspan="2" | [[Mapping]] | ||
| | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo|623 -393}} | |||
| {{mapping|393 623}} | |||
| −0.1057 | |||
| 0.1057 | | 0.1057 | ||
| 3.43 | | 3.43 | ||
|- | |- | ||
|2.3.5 | | 2.3.5 | ||
|393216/390625, {{monzo|-46 51 -15}} | | 393216/390625, {{monzo|-46 51 -15}} | ||
| | | −0.2819 | ||
| 0.2636 | | 0.2636 | ||
| 8.63 | | 8.63 | ||
| Line 47: | Line 48: | ||
=== 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 | ||
|127\393 | | 127\393 | ||
|387.79 | | 387.79 | ||
|5/4 | | 5/4 | ||
|[[Würschmidt]] | | [[Würschmidt]] | ||
|} | |} | ||
<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 | |||