44edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2012-05-28 19:52:54 UTC.
- The original revision id was 340268480.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Though commonly neglected, 44edo doubles a very natural tuning, [[22edo]] to which it adds ratios of 13, 19, and 23. While not the most accurate 2.3.5.7.11 tuning, 22edo is certainly a relatively compact one, and it's a surprise that extending it in this way has been done rarely or not at all. The most practically useful of these additions is easily the 13th harmonic with its neutral intervals, but the 17th, 19th, and 23rd are not to be dismissed. In the 13-limit it supplies the optimal patent val for [[Jubilismic clan#Vigin|vigin temperament]]. The [[k*N subgroups|2*44]] subgroup of 44edo is 2.9.5.21.11.13.17.19.23, on which 44 tempers out the same commas as the patent val for 88. Using the 44d val, it is a pretty good tuning for [[nautilus]] temperament.
Original HTML content:
<html><head><title>44edo</title></head><body>Though commonly neglected, 44edo doubles a very natural tuning, <a class="wiki_link" href="/22edo">22edo</a> to which it adds ratios of 13, 19, and 23. While not the most accurate 2.3.5.7.11 tuning, 22edo is certainly a relatively compact one, and it's a surprise that extending it in this way has been done rarely or not at all. The most practically useful of these additions is easily the 13th harmonic with its neutral intervals, but the 17th, 19th, and 23rd are not to be dismissed. In the 13-limit it supplies the optimal patent val for <a class="wiki_link" href="/Jubilismic%20clan#Vigin">vigin temperament</a>. The <a class="wiki_link" href="/k%2AN%20subgroups">2*44</a> subgroup of 44edo is 2.9.5.21.11.13.17.19.23, on which 44 tempers out the same commas as the patent val for 88.<br /> <br /> Using the 44d val, it is a pretty good tuning for <a class="wiki_link" href="/nautilus">nautilus</a> temperament.</body></html>