Gamelismic family
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 2010-09-03 19:34:43 UTC.
- The original revision id was 160328381.
- 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:
//Gamelismic temperament// is the rank three [[Harmonic Limit|7-limit]] [[Regular Temperaments|temperament]] tempering out 1029/1024. ===Vital statistics=== Comma c = 1029/1024 7-limit minimax tuning: 3, 5, and 7 1/4c flat 9-limit minimax tuning: 3 1/7c flat, 5 and 7 2/7c flat TOP-RMS: <1200.486 1901.833 2786.314 3367.676| Minkowski lattice basis: 8/7 length 0.5192, 5/4 length = log2(5) Angle(8/7, 5/4) = 90 degrees Map to lattice: [<0 3 0 -1|, <0 0 1 0|] EDOs: 118, 159 ==11-limit temperaments== ===Prodigy=== Prodigy has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. Commas c = 1029/1024, e = 385/384 Minimax: 3 1/7c flat, 5 and 7 2/7c flat, 11 e-3/7c flat Minkowski lattice basis: 8/7 length 0.46467, 12/11 length 1.931 angle(8/7, 12/11) = 86.657 degrees Map to lattice: [<0 3 1 -1 3|, <0 0 1 0 -1|] EDOs 118, 159
Original HTML content:
<html><head><title>Gamelismic family</title></head><body><em>Gamelismic temperament</em> is the rank three <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> <a class="wiki_link" href="/Regular%20Temperaments">temperament</a> tempering out 1029/1024. <br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3> Comma c = 1029/1024<br /> 7-limit minimax tuning: 3, 5, and 7 1/4c flat<br /> 9-limit minimax tuning: 3 1/7c flat, 5 and 7 2/7c flat<br /> TOP-RMS: <1200.486 1901.833 2786.314 3367.676|<br /> Minkowski lattice basis: 8/7 length 0.5192, 5/4 length = log2(5)<br /> Angle(8/7, 5/4) = 90 degrees<br /> Map to lattice: [<0 3 0 -1|, <0 0 1 0|] <br /> EDOs: 118, 159<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-11-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit temperaments</h2> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-11-limit temperaments-Prodigy"></a><!-- ws:end:WikiTextHeadingRule:4 -->Prodigy</h3> Prodigy has a <a class="wiki_link" href="/Normal%20lists">normal comma list</a> [1029/1024, 385/384] and also tempers out 441/440. <br /> <br /> Commas c = 1029/1024, e = 385/384<br /> Minimax: 3 1/7c flat, 5 and 7 2/7c flat, 11 e-3/7c flat<br /> Minkowski lattice basis: <br /> 8/7 length 0.46467, 12/11 length 1.931<br /> angle(8/7, 12/11) = 86.657 degrees<br /> Map to lattice: [<0 3 1 -1 3|, <0 0 1 0 -1|]<br /> EDOs 118, 159</body></html>