https://en.xen.wiki/index.php?action=history&feed=atom&title=13ed29%2F16 2026-06-28T10:42:59Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=13ed29/16&diff=231313&oldid=prev 2026-05-30T03:42:40Z

<p>Create page, including music in this non-octave tuning</p> <p><b>New page</b></p><div>{{Stub}}<br /> {{Infobox ET}}<br /> {{ED intro}}<br /> <br /> == Theory ==<br /> 13ed29/16 is like [[15edo]], but with its intervals compressed, resulting in a flat tendency except for the [[7/1|7th harmonic]], which is highly sharp (perhaps warranting a wart), until reaching the [[16/1|16th harmonic]], after which harmonics are mixed sharp and flat. With the [[2/1|2nd harmonic]] being flat and the [[29/1|29th harmonic]] being sharp, 13ed29/16 maps its own [[equave]] inconsistently unless one (but not both) of the following is done: the [[29/1|29th harmonic]] (which is sharp) is altered with a wart (to make it flat), or the 16th harmonic is directly approximated (making it sharp instead of flat).<br /> <br /> == Harmonics ==<br /> {{Harmonics in equal<br /> | steps = 13<br /> | num = 29<br /> | denom = 16<br /> }}<br /> {{Harmonics in equal<br /> | steps = 13<br /> | num = 29<br /> | denom = 16<br /> | start = 12<br /> | collapsed = 1<br /> | title=Approximation of harmonics in 13ed29/16 (continued)<br /> }}<br /> {{Harmonics in equal<br /> | steps = 13<br /> | num = 29<br /> | denom = 16<br /> | start = 23<br /> | collapsed = 1<br /> | title=Approximation of harmonics in 13ed29/16 (continued)<br /> }}<br /> <br /> == Intervals ==<br /> {{Interval table}}<br /> <br /> == Instruments ==<br /> A [[Lumatone mapping for 13ed29/16]] is available, although it uses a mapping for [[15edo]] (the relative edo for 13ed29/16).<br /> <br /> == Music ==<br /> ; [[Bryan Deister]]<br /> * [https://www.youtube.com/watch?v=qxhfsxM80-w &#039;&#039;13ed(29/16) improv&#039;&#039;] (2026)<br /> <br /> == See also ==<br /> * [[15edo]] – relative edo<br /> <br /> [[Category:Nonoctave]]</div>

Lucius Chiaraviglio