77edo
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2013-10-28 11:49:15 UTC.
- The original revision id was 463787072.
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Original Wikitext content:
=<span style="color: #000083; font-family: 'Times New Roman',Times,serif; font-size: 113%;">77 tone Equal Temperament</span>= 77-tET or 77-EDO divides the octave into 77 steps of size 15.5844 [[cent]]s each. With fifths less than a cent flat, major thirds a bit over three cents sharp and [[7_4|7/4s]] less flat than that, it represents an excellent tuning choice for both [[Starling temperaments#Valentine%20temperament|valentine]], the 31&46 temperament, and [[Starling temperaments|starling]], the 126/125 [[planar temperament]], giving the optimal patent val for 11-limit valentine and its 13-limit extensions dwynwen and valentino, as well as [[Starling family#x7-limit%20starling-11-limit|11-limit starling]] and [[Starling family#Oxpecker|oxpecker]] temperaments. It also gives the optimal patent val for various members of the [[unicorn family]], with a [[generator]] of 4\77 instead of the 5\77 which gives valentine. These are 7-limit [[Unicorn family#Alicorn|alicorn]] and 11- and 13-limit camahueto. 77et tempers out 32805/32768 in the [[5-limit]], 126/125, 1029/1024 and 6144/6125 in the [[7-limit]], 121/120, 176/175, 385/384 and 441/440 in the [[11-limit]], and 196/195, 351/350, 352/351, 676/675 and 729/728 in the [[13-limit]]. =Music= //[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3|Star 1-GrimaldiA+Bmod]]// by [[Joel Grant Taylor]] //[[http://micro.soonlabel.com/star/20120830-77et-star.mp3|77et Star]]// by [[Chris Vaisvil]] //[[http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Freivald-J.-A-Seed-Planted-2nd-Version-77edo.mp3|A Seed Planted]]// A Seed Planted by Jake Freivald, in an [[http://soonlabel.com/xenharmonic/archives/1391|organ version]] of Claudi Meneghin.
Original HTML content:
<html><head><title>77edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x77 tone Equal Temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #000083; font-family: 'Times New Roman',Times,serif; font-size: 113%;">77 tone Equal Temperament</span></h1> <br /> 77-tET or 77-EDO divides the octave into 77 steps of size 15.5844 <a class="wiki_link" href="/cent">cent</a>s each. With fifths less than a cent flat, major thirds a bit over three cents sharp and <a class="wiki_link" href="/7_4">7/4s</a> less flat than that, it represents an excellent tuning choice for both <a class="wiki_link" href="/Starling%20temperaments#Valentine%20temperament">valentine</a>, the 31&46 temperament, and <a class="wiki_link" href="/Starling%20temperaments">starling</a>, the 126/125 <a class="wiki_link" href="/planar%20temperament">planar temperament</a>, giving the optimal patent val for 11-limit valentine and its 13-limit extensions dwynwen and valentino, as well as <a class="wiki_link" href="/Starling%20family#x7-limit%20starling-11-limit">11-limit starling</a> and <a class="wiki_link" href="/Starling%20family#Oxpecker">oxpecker</a> temperaments. It also gives the optimal patent val for various members of the <a class="wiki_link" href="/unicorn%20family">unicorn family</a>, with a <a class="wiki_link" href="/generator">generator</a> of 4\77 instead of the 5\77 which gives valentine. These are 7-limit <a class="wiki_link" href="/Unicorn%20family#Alicorn">alicorn</a> and 11- and 13-limit camahueto.<br /> <br /> 77et tempers out 32805/32768 in the <a class="wiki_link" href="/5-limit">5-limit</a>, 126/125, 1029/1024 and 6144/6125 in the <a class="wiki_link" href="/7-limit">7-limit</a>, 121/120, 176/175, 385/384 and 441/440 in the <a class="wiki_link" href="/11-limit">11-limit</a>, and 196/195, 351/350, 352/351, 676/675 and 729/728 in the <a class="wiki_link" href="/13-limit">13-limit</a>.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:2 -->Music</h1> <br /> <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/star_1-GrimaldiA+Bmod.mp3" rel="nofollow">Star 1-GrimaldiA+Bmod</a></em> by <a class="wiki_link" href="/Joel%20Grant%20Taylor">Joel Grant Taylor</a><br /> <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/star/20120830-77et-star.mp3" rel="nofollow">77et Star</a></em> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> <em><a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Freivald-J.-A-Seed-Planted-2nd-Version-77edo.mp3" rel="nofollow">A Seed Planted</a></em> A Seed Planted by Jake Freivald, in an <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/1391" rel="nofollow">organ version</a> of Claudi Meneghin.</body></html>