76edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author MasonGreen1 and made on 2016-10-24 22:07:12 UTC.
- The original revision id was 596770372.
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Original Wikitext content:
The //76 equal division// 5-limit patent val is [[contorted]] in the 5-limit, reflecting the fact that 76 = 4 * 19. In the 7-limit it tempers out 2401/2400 as well as 81/80, and so supports [[Meantone family#Squares|squares temperament]]. In the 11-limit, it tempers out 245/242 and 385/384, and supports the 24&26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the [[Pelogic family|hornbostel temperament]] POTE fifth, whereas its sharp fifth, 45\76, makes for an excellent [[Archytas clan#Superpyth|superpyth]] fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division. Using non-patent vals, 76edo provides an excellent tuning for [[teff]] temperament, a low complexity, medium accuracy, and high limit (17 or 19) temperament.
Original HTML content:
<html><head><title>76edo</title></head><body>The <em>76 equal division</em> 5-limit patent val is <a class="wiki_link" href="/contorted">contorted</a> in the 5-limit, reflecting the fact that 76 = 4 * 19. In the 7-limit it tempers out 2401/2400 as well as 81/80, and so supports <a class="wiki_link" href="/Meantone%20family#Squares">squares temperament</a>. In the 11-limit, it tempers out 245/242 and 385/384, and supports the 24&26 temperament. In the 13-limit, it tempers out 105/104, 144/143, 351/350 and 364/363. While the 44\76 = 11\19 fifth is already flat, the 43\76 fifth, even flatter, is an almost perfect approximation to the <a class="wiki_link" href="/Pelogic%20family">hornbostel temperament</a> POTE fifth, whereas its sharp fifth, 45\76, makes for an excellent <a class="wiki_link" href="/Archytas%20clan#Superpyth">superpyth</a> fifth. Hence you can do hornbostel/mavila, squares/meantone, and superpyth all with the same equal division.<br /> <br /> Using non-patent vals, 76edo provides an excellent tuning for <a class="wiki_link" href="/teff">teff</a> temperament, a low complexity, medium accuracy, and high limit (17 or 19) temperament.</body></html>