5th-octave temperaments: Difference between revisions
Navbox fractional octave is supposed to exist alongside fractional-octave navigation, not replace it. One is a detailed navbox at the bottom, the other a quick minimalist infobox in the top right. Navigation also automatically grants categories which is important, without it the page becomes uncategorised (yes, the navbox could be made to do that, but that’s not the intention, it’s not meant as a replacement). |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 1: | Line 1: | ||
{{ | {{Infobox fractional-octave|5}}[[5edo]] is the smallest xenharmonic system, as 1edo, 2edo, 3edo and 4edo are all subsets of [[12edo]]. | ||
The most notable 5th-octave family is [[limmic temperaments]] – [[tempering out]] [[256/243]] and associates 3\5 to [[3/2]] as well as 1\5 to [[9/8]], producing temperaments like [[blackwood]]. Equally notable among small equal divisions are the [[Cloudy clan|cloudy temperaments]] – identifying [[8/7]] with one step of 5edo. | The most notable 5th-octave family is [[limmic temperaments]] – [[tempering out]] [[256/243]] and associates 3\5 to [[3/2]] as well as 1\5 to [[9/8]], producing temperaments like [[blackwood]]. Equally notable among small equal divisions are the [[Cloudy clan|cloudy temperaments]] – identifying [[8/7]] with one step of 5edo. | ||
| Line 7: | Line 7: | ||
* [[Quintosec family|Quintosec temperaments]] | * [[Quintosec family|Quintosec temperaments]] | ||
* [[Trisedodge family|Trisedodge temperaments]] | * [[Trisedodge family|Trisedodge temperaments]] | ||
== Slendrismic == | == Slendrismic == | ||
| Line 217: | Line 216: | ||
{{Optimal ET sequence|legend=1| 5, 15ccd }} | {{Optimal ET sequence|legend=1| 5, 15ccd }} | ||
[[Badness]]: 0.048312 | |||
{{Navbox fractional-octave}} | {{Navbox fractional-octave}} | ||