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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, the [[Optimal_patent_val|optimal patent val]] 2749et will certainly do the trick.
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-04-21 14:31:48 UTC</tt>.<br>
: The original revision id was <tt>323680962</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]]


Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, the [[optimal patent val]] 2749et will certainly do the trick.
=Vital statistics=
[[Comma|Comma]] c = 2401/2400


=Vital statistics=
[[Comma]] c = 2401/2400
7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat
7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat
[[Eigenmonzo|Eigenmonzos]]: 2, 6/5, 5/4
[[Eigenmonzo|Eigenmonzos]]: 2, 6/5, 5/4
Lattice basis: 49/40 length 0.7858 8/7 length 1.1241
Lattice basis: 49/40 length 0.7858 8/7 length 1.1241
Angle(49/40, 8/7) = 107.367 degrees
Angle(49/40, 8/7) = 107.367 degrees
Map to lattice: [&lt;0 2 -1 0|, &lt;0 0 -2 -1|]
Map to lattice: [&lt;0 2 -1 0|, &lt;0 0 -2 -1|]
Map [&lt;1 1 1 2|, &lt;0 2 1 1|, &lt;0 0 2 1|]
Map [&lt;1 1 1 2|, &lt;0 2 1 1|, &lt;0 0 2 1|]
[[Generator|Generators]]: 2, 49/40, 10/7
 
[[edo|EDOs]]: [[31edo|31]], [[41edo|41]], [[58edo|58]], [[68edo|68]], [[72edo|72]], [[171edo|171]], [[441edo|441]], [[612edo|612]], [[2308edo|2308]], [[2578edo|2578]], [[2749edo|2749]], [[3361edo|3361d]]
[[generator|Generators]]: 2, 49/40, 10/7
 
[[EDO|EDOs]]: [[31edo|31]], [[41edo|41]], [[58edo|58]], [[68edo|68]], [[72edo|72]], [[171edo|171]], [[441edo|441]], [[612edo|612]], [[2308edo|2308]], [[2578edo|2578]], [[2749edo|2749]], [[3361edo|3361d]]
 
Badness: 0.0000153
Badness: 0.0000153


[[Projection pair]]: 3 2401/800 to 2.5.7
[[Projection_pair|Projection pair]]: 3 2401/800 to 2.5.7


Scales: [[breed11]]
Scales: [[breed11|breed11]]


=Jove, aka Wonder=
=Jove, aka Wonder=
Line 30: Line 31:


11-limit
11-limit
[[Comma|Commas]]: 243/242, 441/440
[[Comma|Commas]]: 243/242, 441/440


[[Minimax tuning]]
[[Minimax_tuning|Minimax tuning]]
 
[|1 0 0 0 0&gt;, |1/5 0 0 0 2/5&gt;,  
[|1 0 0 0 0&gt;, |1/5 0 0 0 2/5&gt;,  
|13/5 0 2 -2 1/5&gt;, |13/5 0 1 -1 1/5&gt;,  
|13/5 0 2 -2 1/5&gt;, |13/5 0 1 -1 1/5&gt;,  
|0 0 0 0 1&gt;]
|0 0 0 0 1&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5, 11/8
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5, 11/8


Map: [&lt;1 1 1 2 2|, &lt;0 2 1 1 5|, &lt;0 0 2 1 0|]
Map: [&lt;1 1 1 2 2|, &lt;0 2 1 1 5|, &lt;0 0 2 1 0|]
EDOs: 31, 41, 58, 72, 130, 161, 171, 202
EDOs: 31, 41, 58, 72, 130, 161, 171, 202
Badness: 0.000241
Badness: 0.000241


Projection pairs: 3 242/81 5 2200/441 7 440/63 11 644204/59049 to 2.7/5.11/9
Projection pairs: 3 242/81 5 2200/441 7 440/63 11 644204/59049 to 2.7/5.11/9


[[http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3|By Jove!]] in [[jove41]] by Chris Vaisvil
[http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!] in [[jove41|jove41]] by Chris Vaisvil


==Jovial==
==Jovial==
Line 50: Line 56:


13-limit minimax
13-limit minimax
[|1 0 0 0 0 0&gt;, |17/11 -12/11 2/11 0 0 4/11&gt;, |34/11 -46/11 15/11 0 0 8/11&gt;,  
[|1 0 0 0 0 0&gt;, |17/11 -12/11 2/11 0 0 4/11&gt;, |34/11 -46/11 15/11 0 0 8/11&gt;,  
|35/11 -26/11 8/11 0 0 5/11&gt;,  
|35/11 -26/11 8/11 0 0 5/11&gt;,  
|37/11 -30/11 5/11 0 0 10/11&gt;,  
|37/11 -30/11 5/11 0 0 10/11&gt;,  
|34/11 -46/11 4/11 0 0 19/11&gt;]
|34/11 -46/11 4/11 0 0 19/11&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/9
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/9


15-limit minimax
15-limit minimax
[|1 0 0 0 0 0&gt;, |2 -1/4 1/2 -3/4 0 1/4&gt;,  
[|1 0 0 0 0 0&gt;, |2 -1/4 1/2 -3/4 0 1/4&gt;,  
|7/2 -1/8 9/4 -19/8 0 1/8&gt;,  
|7/2 -1/8 9/4 -19/8 0 1/8&gt;,  
Line 62: Line 71:
|9/2 -5/8 5/4 -15/8 0 5/8&gt;,
|9/2 -5/8 5/4 -15/8 0 5/8&gt;,
|11/2 -11/8 7/4 -25/8 0 11/8&gt;]
|11/2 -11/8 7/4 -25/8 0 11/8&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 15/13, 7/5
[[Eigenmonzo|Eigenmonzos]]: 2, 15/13, 7/5


Map: [&lt;1 1 1 2 2 1|, &lt;0 2 1 1 5 11|, &lt;0 2 1 1 0 -1|]
Map: [&lt;1 1 1 2 2 1|, &lt;0 2 1 1 5 11|, &lt;0 2 1 1 0 -1|]
EDOs: 41, 58, 72, 89, 113, 130, 243, 301e, 373e, 503e, 674e
EDOs: 41, 58, 72, 89, 113, 130, 243, 301e, 373e, 503e, 674e
Badness: 0.000624
Badness: 0.000624


Line 72: Line 84:


17-limit minimax
17-limit minimax
[|1 0 0 0 0 0 0&gt;, |3/7 -2 6/7 0 0 0 4/7&gt;,  
[|1 0 0 0 0 0 0&gt;, |3/7 -2 6/7 0 0 0 4/7&gt;,  
|3/7 -3 13/7 0 0 0 4/7&gt;, |11/7 -2 8/7 0 0 0 3/7&gt;,  
|3/7 -3 13/7 0 0 0 4/7&gt;, |11/7 -2 8/7 0 0 0 3/7&gt;,  
|4/7 -5 15/7 0 0 0 10/7&gt;, |-2 -10 4 0 0 0 3&gt;,  
|4/7 -5 15/7 0 0 0 10/7&gt;, |-2 -10 4 0 0 0 3&gt;,  
|6/7 -6 12/7 0 0 0 15/7&gt;]
|6/7 -6 12/7 0 0 0 15/7&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 18/17, 6/5
[[Eigenmonzo|Eigenmonzos]]: 2, 18/17, 6/5


Map: [&lt;1 1 1 2 2 1 3|, &lt;0 2 1 1 5 11 9|, &lt;0 0 2 1 0 -1 -3|]
Map: [&lt;1 1 1 2 2 1 3|, &lt;0 2 1 1 5 11 9|, &lt;0 0 2 1 0 -1 -3|]
[[Generator|Generators]]: 2, 11/9, 10/7
 
[[edo|Edos]]: 41, 58, [[72edo|72]], [[130edo|130]], [[171edo|171]], [[243edo|243]], [[274edo|274]], [[346edo|346]], [[373edo|373eg]], [[414edo|414e]], [[544edo|540eg]], [[787edo|787eg]]
[[generator|Generators]]: 2, 11/9, 10/7
 
[[EDO|Edos]]: 41, 58, [[72edo|72]], [[130edo|130]], [[171edo|171]], [[243edo|243]], [[274edo|274]], [[346edo|346]], [[373edo|373eg]], [[414edo|414e]], [[544edo|540eg]], [[787edo|787eg]]
 
Badness: 0.000741
Badness: 0.000741


Line 87: Line 104:


Map: [&lt;1 1 1 2 2 4|, &lt;0 2 1 1 5 -1|, &lt;0 0 2 1 0 0|]
Map: [&lt;1 1 1 2 2 4|, &lt;0 2 1 1 5 -1|, &lt;0 0 2 1 0 0|]
EDOs: 31, 41, 58, 89f, 99ef, 157ef
EDOs: 31, 41, 58, 89f, 99ef, 157ef
Badness: 0.000749
Badness: 0.000749


Line 94: Line 113:


Map: [&lt;1 1 1 2 2 2|, &lt;0 2 1 1 5 -3|, &lt;0 0 2 1 0 5|]
Map: [&lt;1 1 1 2 2 2|, &lt;0 2 1 1 5 -3|, &lt;0 0 2 1 0 5|]
EDOs: 31, 58, 72, 103, 130, 233, 363, 798bf, 928bef
EDOs: 31, 58, 72, 103, 130, 233, 363, 798bf, 928bef
Badness: 0.000542
Badness: 0.000542


=Freya=
=Freya=
11-limit
11-limit
[[Comma|Commas]]: 2401/2400, 3025/3024
[[Comma|Commas]]: 2401/2400, 3025/3024


11-limit minimax
11-limit minimax
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;,  
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;,  
|11/10 11/10 0 4/5 -4/5&gt;,  
|11/10 11/10 0 4/5 -4/5&gt;,  
|9/5 4/5 0 2/5 -2/5&gt;, |9/5 4/5 0 -3/5 3/5&gt;]
|9/5 4/5 0 2/5 -2/5&gt;, |9/5 4/5 0 -3/5 3/5&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 4/3
[[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 4/3


Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -3 2|]
Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -3 2|]
EDOs: 31, 41, 72, 167, 188, 198, 229, 239, 270, 342, 612, 954, 1566, 3443de, 4055de, 4397cde
EDOs: 31, 41, 72, 167, 188, 198, 229, 239, 270, 342, 612, 954, 1566, 3443de, 4055de, 4397cde
Badness: 0.000170
Badness: 0.000170


Line 117: Line 143:


Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -2 3|]
Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -2 3|]
[[Generator|Generators]]: 2, 49/40, 55/42
 
[[edo|Edos]]: 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615
[[generator|Generators]]: 2, 49/40, 55/42
 
[[EDO|Edos]]: 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615
 
Badness: 0.000855
Badness: 0.000855


Line 127: Line 156:


11-limit minimax
11-limit minimax
[|1 0 0 0 0&gt;, |3/4 0 1/2 1/2 -1/2&gt;,  
[|1 0 0 0 0&gt;, |3/4 0 1/2 1/2 -1/2&gt;,  
|0 0 1 0 0&gt;, |23/16 0 5/8 1/8 -1/8&gt;,  
|0 0 1 0 0&gt;, |23/16 0 5/8 1/8 -1/8&gt;,  
|23/16 0 5/8 -7/8 7/8&gt;]
|23/16 0 5/8 -7/8 7/8&gt;]
[[Eigenmonzo|Eigenmonzos]]: 5/4, 14/11
[[Eigenmonzo|Eigenmonzos]]: 5/4, 14/11


Map: [&lt;2 0 1 3 7|, &lt;0 2 1 1 -2|, &lt;0 0 2 1 3|]
Map: [&lt;2 0 1 3 7|, &lt;0 2 1 1 -2|, &lt;0 0 2 1 3|]
[[Generator|Generators]]: 99/70, 343/198, 10/7
 
[[generator|Generators]]: 99/70, 343/198, 10/7
 
EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696, 4004de, 5700de
EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696, 4004de, 5700de
Badness: 0.000166
Badness: 0.000166


Line 143: Line 177:


Map: [&lt;2 0 1 3 7 -1|, &lt;0 2 1 1 -2 4|, &lt;0 0 2 1 3 2|]
Map: [&lt;2 0 1 3 7 -1|, &lt;0 2 1 1 -2 4|, &lt;0 0 2 1 3 2|]
[[edo|Edos]]: 58, 72, 130, 198, 270, 940, 1210f, 1480cf, 1750cf
 
[[EDO|Edos]]: 58, 72, 130, 198, 270, 940, 1210f, 1480cf, 1750cf
 
Badness: 0.000433
Badness: 0.000433
[[Spectrum of a temperament|Spectrum]]: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9
 
[[Spectrum_of_a_temperament|Spectrum]]: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9


Projection pairs: 2 19600/9801 3 676/225 5 10400/2079 7 20384000/2910897 11 19208000000000000/1750211597736459 13 5026736/385875 to 10/7.200/99.26/15
Projection pairs: 2 19600/9801 3 676/225 5 10400/2079 7 20384000/2910897 11 19208000000000000/1750211597736459 13 5026736/385875 to 10/7.200/99.26/15
Line 153: Line 190:


11-limit minimax
11-limit minimax
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;,  
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;,  
|23/10 3/10 2/5 0 -2/5&gt;,  
|23/10 3/10 2/5 0 -2/5&gt;,  
|12/5 2/5 1/5 0 -1/5&gt;,  
|12/5 2/5 1/5 0 -1/5&gt;,  
|23/10 3/10 -3/5 0 3/5&gt;]
|23/10 3/10 -3/5 0 3/5&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 4/3, 11/10
[[Eigenmonzo|Eigenmonzos]]: 2, 4/3, 11/10


Lattice basis: 49/40 length 0.756, 10/7 length 0.819
Lattice basis: 49/40 length 0.756, 10/7 length 0.819
Angle(49/40, 10/7) = 106.460 degrees
Angle(49/40, 10/7) = 106.460 degrees
Map to lattice: [&lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]
Map to lattice: [&lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]


Map: [&lt;1 1 1 2 5|, &lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]
Map: [&lt;1 1 1 2 5|, &lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]
[[Generator|Generators]]: 2, 49/40, 10/7
 
[[edo|Edos]]: 27, 31, 41, 68, 72, 140, 171e, 181, [[212edo|212]], [[284edo|284]], [[496edo|496ce]], [[527edo|527ce]]
[[generator|Generators]]: 2, 49/40, 10/7
 
[[EDO|Edos]]: 27, 31, 41, 68, 72, 140, 171e, 181, [[212edo|212]], [[284edo|284]], [[496edo|496ce]], [[527edo|527ce]]
 
Badness: 0.000494
Badness: 0.000494


Line 172: Line 216:


Map: [&lt;1 1 1 2 5 -1|, &lt;0 2 1 1 0 2|, &lt;0 0 2 1 -3 8|]
Map: [&lt;1 1 1 2 5 -1|, &lt;0 2 1 1 0 2|, &lt;0 0 2 1 -3 8|]
EDOs: 31, 68, 72, 103, 140, 212, 243e, 315ef, 455ef
EDOs: 31, 68, 72, 103, 140, 212, 243e, 315ef, 455ef
Badness: 0.000923
Badness: 0.000923


Line 179: Line 225:


Map: [&lt;1 1 5 4 10|, &lt;0 2 3 2 6|, &lt;0 0 -6 -3 -14|]
Map: [&lt;1 1 5 4 10|, &lt;0 2 3 2 6|, &lt;0 0 -6 -3 -14|]
EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583
EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583
Badness: 0.00126
Badness: 0.00126


Line 186: Line 234:


Map: [&lt;1 1 5 4 10 4|, &lt;0 2 3 2 6 1|, &lt;0 0 -6 -3 -14 -1|]
Map: [&lt;1 1 5 4 10 4|, &lt;0 2 3 2 6 1|, &lt;0 0 -6 -3 -14 -1|]
EDOs: 37, 93, 103, 130, 233, 270, 643, 773, 913f, 1956ef
EDOs: 37, 93, 103, 130, 233, 270, 643, 773, 913f, 1956ef
Badness: 0.000738
Badness: 0.000738


Line 193: Line 243:


Map: [&lt;1 1 1 2 -3|, &lt;0 2 1 1 8|, &lt;0 0 2 1 8|]
Map: [&lt;1 1 1 2 -3|, &lt;0 2 1 1 8|, &lt;0 0 2 1 8|]
EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210, 2150c
EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210, 2150c
Badness: 0.000640
Badness: 0.000640


Line 200: Line 252:


Map: [&lt;1 1 1 2 -3 7|, &lt;0 2 1 1 8 -6|, &lt;0 0 2 1 8 -3|]
Map: [&lt;1 1 1 2 -3 7|, &lt;0 2 1 1 8 -6|, &lt;0 0 2 1 8 -3|]
EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241
EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241
Badness: 0.000830
Badness: 0.000830


Line 207: Line 261:


Map: [&lt;1 1 3 3 4|, &lt;0 2 3 2 4|, &lt;0 0 -10 -5 -11|]
Map: [&lt;1 1 3 3 4|, &lt;0 2 3 2 4|, &lt;0 0 -10 -5 -11|]
EDOs: 51, 58, 103, 161, 212, 270, 643, 913
EDOs: 51, 58, 103, 161, 212, 270, 643, 913
Badness: 0.00179
Badness: 0.00179


Line 214: Line 270:


Map: [&lt;1 1 3 3 4 5|, &lt;0 2 3 2 4 3|, &lt;0 0 -10 -5 -11 -14|]
Map: [&lt;1 1 3 3 4 5|, &lt;0 2 3 2 4 3|, &lt;0 0 -10 -5 -11 -14|]
EDOs: 58, 103, 161, 212, 270, 643, 1241, 2082ce, 3053ce, 3323cef
EDOs: 58, 103, 161, 212, 270, 643, 1241, 2082ce, 3053ce, 3323cef
Badness: 0.000934
Badness: 0.000934


Line 221: Line 279:


Map: [&lt;9 1 1 12 0|, &lt;0 2 3 2 0|, &lt;0 0 0 0 1|]
Map: [&lt;9 1 1 12 0|, &lt;0 2 3 2 0|, &lt;0 0 0 0 1|]
Generators: 27/25, 5/3, 11
Generators: 27/25, 5/3, 11
EDOs: 27, 45, 72, 171, 198, 270, 342, 612, 954, 1323, 1395, 1665, 2007, 2277, 2619, 4284d, 4896d
EDOs: 27, 45, 72, 171, 198, 270, 342, 612, 954, 1323, 1395, 1665, 2007, 2277, 2619, 4284d, 4896d
Badness: 0.000275
Badness: 0.000275


Line 229: Line 290:


Map: [&lt;9 1 1 12 0 -31|, &lt;0 2 3 2 0 5|, &lt;0 0 0 0 1 1|]
Map: [&lt;9 1 1 12 0 -31|, &lt;0 2 3 2 0 5|, &lt;0 0 0 0 1 1|]
EDOs: 27, 72, 171, 198, 270, 639, 711, 981, 1692e, 2673e
EDOs: 27, 72, 171, 198, 270, 639, 711, 981, 1692e, 2673e
Badness: 0.000755</pre></div>
 
<h4>Original HTML content:</h4>
Badness: 0.000755
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Breed family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:40:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Vital statistics"&gt;Vital statistics&lt;/a&gt;&lt;/div&gt;
[[Category:breed]]
&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Jove, aka Wonder"&gt;Jove, aka Wonder&lt;/a&gt;&lt;/div&gt;
[[Category:family]]
&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Jove, aka Wonder-Jovial"&gt;Jovial&lt;/a&gt;&lt;/div&gt;
[[Category:planar]]
&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;div style="margin-left: 3em;"&gt;&lt;a href="#Jove, aka Wonder-Jovial-17-limit"&gt;17-limit&lt;/a&gt;&lt;/div&gt;
[[Category:theory]]
&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Jove, aka Wonder-Jofur"&gt;Jofur&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Jove, aka Wonder-Jovis"&gt;Jovis&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Freya"&gt;Freya&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Freya-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Baldur"&gt;Baldur&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Baldur-Greenland"&gt;Greenland&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Agni"&gt;Agni&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Agni-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Vili"&gt;Vili&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Vili-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Zisa"&gt;Zisa&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Zisa-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Frigg"&gt;Frigg&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Frigg-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Ennealimmic"&gt;Ennealimmic&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Ennealimmic-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;br /&gt;
Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; 2749et will certainly do the trick.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h1&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt; c = 2401/2400&lt;br /&gt;
7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 6/5, 5/4&lt;br /&gt;
Lattice basis: 49/40 length 0.7858 8/7 length 1.1241&lt;br /&gt;
Angle(49/40, 8/7) = 107.367 degrees&lt;br /&gt;
Map to lattice: [&amp;lt;0 2 -1 0|, &amp;lt;0 0 -2 -1|]&lt;br /&gt;
Map [&amp;lt;1 1 1 2|, &amp;lt;0 2 1 1|, &amp;lt;0 0 2 1|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 49/40, 10/7&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58&lt;/a&gt;, &lt;a class="wiki_link" href="/68edo"&gt;68&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/171edo"&gt;171&lt;/a&gt;, &lt;a class="wiki_link" href="/441edo"&gt;441&lt;/a&gt;, &lt;a class="wiki_link" href="/612edo"&gt;612&lt;/a&gt;, &lt;a class="wiki_link" href="/2308edo"&gt;2308&lt;/a&gt;, &lt;a class="wiki_link" href="/2578edo"&gt;2578&lt;/a&gt;, &lt;a class="wiki_link" href="/2749edo"&gt;2749&lt;/a&gt;, &lt;a class="wiki_link" href="/3361edo"&gt;3361d&lt;/a&gt;&lt;br /&gt;
Badness: 0.0000153&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Projection%20pair"&gt;Projection pair&lt;/a&gt;: 3 2401/800 to 2.5.7&lt;br /&gt;
&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/breed11"&gt;breed11&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Jove, aka Wonder"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Jove, aka Wonder&lt;/h1&gt;
Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130, 171 and 202 are good edos for jove.&lt;br /&gt;
&lt;br /&gt;
11-limit&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 243/242, 441/440&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |1/5 0 0 0 2/5&amp;gt;, &lt;br /&gt;
|13/5 0 2 -2 1/5&amp;gt;, |13/5 0 1 -1 1/5&amp;gt;, &lt;br /&gt;
|0 0 0 0 1&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/5, 11/8&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 2|, &amp;lt;0 2 1 1 5|, &amp;lt;0 0 2 1 0|]&lt;br /&gt;
EDOs: 31, 41, 58, 72, 130, 161, 171, 202&lt;br /&gt;
Badness: 0.000241&lt;br /&gt;
&lt;br /&gt;
Projection pairs: 3 242/81 5 2200/441 7 440/63 11 644204/59049 to 2.7/5.11/9&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3" rel="nofollow"&gt;By Jove!&lt;/a&gt; in &lt;a class="wiki_link" href="/jove41"&gt;jove41&lt;/a&gt; by Chris Vaisvil&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Jove, aka Wonder-Jovial"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Jovial&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 243/242, 441/440, 364/363&lt;br /&gt;
&lt;br /&gt;
13-limit minimax&lt;br /&gt;
[|1 0 0 0 0 0&amp;gt;, |17/11 -12/11 2/11 0 0 4/11&amp;gt;, |34/11 -46/11 15/11 0 0 8/11&amp;gt;, &lt;br /&gt;
|35/11 -26/11 8/11 0 0 5/11&amp;gt;, &lt;br /&gt;
|37/11 -30/11 5/11 0 0 10/11&amp;gt;, &lt;br /&gt;
|34/11 -46/11 4/11 0 0 19/11&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 13/9&lt;br /&gt;
&lt;br /&gt;
15-limit minimax&lt;br /&gt;
[|1 0 0 0 0 0&amp;gt;, |2 -1/4 1/2 -3/4 0 1/4&amp;gt;, &lt;br /&gt;
|7/2 -1/8 9/4 -19/8 0 1/8&amp;gt;, &lt;br /&gt;
|7/2 -1/8 5/4 -11/8 0 1/8&amp;gt;, &lt;br /&gt;
|9/2 -5/8 5/4 -15/8 0 5/8&amp;gt;,&lt;br /&gt;
|11/2 -11/8 7/4 -25/8 0 11/8&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 15/13, 7/5&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 2 1|, &amp;lt;0 2 1 1 5 11|, &amp;lt;0 2 1 1 0 -1|]&lt;br /&gt;
EDOs: 41, 58, 72, 89, 113, 130, 243, 301e, 373e, 503e, 674e&lt;br /&gt;
Badness: 0.000624&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="Jove, aka Wonder-Jovial-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;17-limit&lt;/h3&gt;
Commas: 243/242, 441/440, 364/363, 595/594&lt;br /&gt;
&lt;br /&gt;
17-limit minimax&lt;br /&gt;
[|1 0 0 0 0 0 0&amp;gt;, |3/7 -2 6/7 0 0 0 4/7&amp;gt;, &lt;br /&gt;
|3/7 -3 13/7 0 0 0 4/7&amp;gt;, |11/7 -2 8/7 0 0 0 3/7&amp;gt;, &lt;br /&gt;
|4/7 -5 15/7 0 0 0 10/7&amp;gt;, |-2 -10 4 0 0 0 3&amp;gt;, &lt;br /&gt;
|6/7 -6 12/7 0 0 0 15/7&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 18/17, 6/5&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 2 1 3|, &amp;lt;0 2 1 1 5 11 9|, &amp;lt;0 0 2 1 0 -1 -3|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 11/9, 10/7&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 41, 58, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/130edo"&gt;130&lt;/a&gt;, &lt;a class="wiki_link" href="/171edo"&gt;171&lt;/a&gt;, &lt;a class="wiki_link" href="/243edo"&gt;243&lt;/a&gt;, &lt;a class="wiki_link" href="/274edo"&gt;274&lt;/a&gt;, &lt;a class="wiki_link" href="/346edo"&gt;346&lt;/a&gt;, &lt;a class="wiki_link" href="/373edo"&gt;373eg&lt;/a&gt;, &lt;a class="wiki_link" href="/414edo"&gt;414e&lt;/a&gt;, &lt;a class="wiki_link" href="/544edo"&gt;540eg&lt;/a&gt;, &lt;a class="wiki_link" href="/787edo"&gt;787eg&lt;/a&gt;&lt;br /&gt;
Badness: 0.000741&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Jove, aka Wonder-Jofur"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Jofur&lt;/h2&gt;
Commas: 243/242, 441/440, 144/143&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 2 4|, &amp;lt;0 2 1 1 5 -1|, &amp;lt;0 0 2 1 0 0|]&lt;br /&gt;
EDOs: 31, 41, 58, 89f, 99ef, 157ef&lt;br /&gt;
Badness: 0.000749&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Jove, aka Wonder-Jovis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Jovis&lt;/h2&gt;
Commas: 243/242, 351/350, 441/440&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 2 2|, &amp;lt;0 2 1 1 5 -3|, &amp;lt;0 0 2 1 0 5|]&lt;br /&gt;
EDOs: 31, 58, 72, 103, 130, 233, 363, 798bf, 928bef&lt;br /&gt;
Badness: 0.000542&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Freya"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Freya&lt;/h1&gt;
11-limit&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 2401/2400, 3025/3024&lt;br /&gt;
&lt;br /&gt;
11-limit minimax&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |0 1 0 0 0&amp;gt;, &lt;br /&gt;
|11/10 11/10 0 4/5 -4/5&amp;gt;, &lt;br /&gt;
|9/5 4/5 0 2/5 -2/5&amp;gt;, |9/5 4/5 0 -3/5 3/5&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 14/11, 4/3&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 3 2|, &amp;lt;0 2 3 2 1|, &amp;lt;0 0 -4 -3 2|]&lt;br /&gt;
EDOs: 31, 41, 72, 167, 188, 198, 229, 239, 270, 342, 612, 954, 1566, 3443de, 4055de, 4397cde&lt;br /&gt;
Badness: 0.000170&lt;br /&gt;
&lt;br /&gt;
Projection pairs: 3 2401/800 5 22880495169/4575312500 7 1058841/151250 11 33275/3024 to 2.49/5.77/3&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Freya-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;13-limit&lt;/h2&gt;
Commas: 2401/2400, 3025/3024, 4096/4095&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 3 2|, &amp;lt;0 2 3 2 1|, &amp;lt;0 0 -4 -2 3|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 49/40, 55/42&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615&lt;br /&gt;
Badness: 0.000855&lt;br /&gt;
&lt;br /&gt;
Projection pairs: 3 2401/800 5 22880495169/4575312500 7 1058841/151250 11 33275/3024 1814078464000000000000000/139662717676432916098329 to 2.49/5.77/3&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Baldur"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Baldur&lt;/h1&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 2401/2400, 9801/9800&lt;br /&gt;
&lt;br /&gt;
11-limit minimax&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |3/4 0 1/2 1/2 -1/2&amp;gt;, &lt;br /&gt;
|0 0 1 0 0&amp;gt;, |23/16 0 5/8 1/8 -1/8&amp;gt;, &lt;br /&gt;
|23/16 0 5/8 -7/8 7/8&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 5/4, 14/11&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 1 3 7|, &amp;lt;0 2 1 1 -2|, &amp;lt;0 0 2 1 3|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 99/70, 343/198, 10/7&lt;br /&gt;
EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696, 4004de, 5700de&lt;br /&gt;
Badness: 0.000166&lt;br /&gt;
&lt;br /&gt;
Projection pairs: 2 9801/4900 3 117649/39204 7 9801/1400 11  913517247483640899/83082326424002500 to 5.7/2.99/4&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Baldur-Greenland"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Greenland&lt;/h2&gt;
Commas: 676/675, 1001/1000, 1716/1715&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 1 3 7 -1|, &amp;lt;0 2 1 1 -2 4|, &amp;lt;0 0 2 1 3 2|]&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 58, 72, 130, 198, 270, 940, 1210f, 1480cf, 1750cf&lt;br /&gt;
Badness: 0.000433&lt;br /&gt;
&lt;a class="wiki_link" href="/Spectrum%20of%20a%20temperament"&gt;Spectrum&lt;/a&gt;: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9&lt;br /&gt;
&lt;br /&gt;
Projection pairs: 2 19600/9801 3 676/225 5 10400/2079 7 20384000/2910897 11 19208000000000000/1750211597736459 13 5026736/385875 to 10/7.200/99.26/15&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Agni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Agni&lt;/h1&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 385/384, 1375/1372&lt;br /&gt;
&lt;br /&gt;
11-limit minimax&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |0 1 0 0 0&amp;gt;, &lt;br /&gt;
|23/10 3/10 2/5 0 -2/5&amp;gt;, &lt;br /&gt;
|12/5 2/5 1/5 0 -1/5&amp;gt;, &lt;br /&gt;
|23/10 3/10 -3/5 0 3/5&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 4/3, 11/10&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 49/40 length 0.756, 10/7 length 0.819&lt;br /&gt;
Angle(49/40, 10/7) = 106.460 degrees&lt;br /&gt;
Map to lattice: [&amp;lt;0 2 1 1 0|, &amp;lt;0 0 2 1 -3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 5|, &amp;lt;0 2 1 1 0|, &amp;lt;0 0 2 1 -3|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 49/40, 10/7&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 27, 31, 41, 68, 72, 140, 171e, 181, &lt;a class="wiki_link" href="/212edo"&gt;212&lt;/a&gt;, &lt;a class="wiki_link" href="/284edo"&gt;284&lt;/a&gt;, &lt;a class="wiki_link" href="/496edo"&gt;496ce&lt;/a&gt;, &lt;a class="wiki_link" href="/527edo"&gt;527ce&lt;/a&gt;&lt;br /&gt;
Badness: 0.000494&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Agni-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;13-limit&lt;/h2&gt;
Commas: 385/384, 1375/1372, 625/624&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 5 -1|, &amp;lt;0 2 1 1 0 2|, &amp;lt;0 0 2 1 -3 8|]&lt;br /&gt;
EDOs: 31, 68, 72, 103, 140, 212, 243e, 315ef, 455ef&lt;br /&gt;
Badness: 0.000923&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Vili"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Vili&lt;/h1&gt;
Commas: 2401/2400, 391314/390625&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 5 4 10|, &amp;lt;0 2 3 2 6|, &amp;lt;0 0 -6 -3 -14|]&lt;br /&gt;
EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583&lt;br /&gt;
Badness: 0.00126&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Vili-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;13-limit&lt;/h2&gt;
Commas: 2401/2400, 10985/10976, 1001/1000&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 5 4 10 4|, &amp;lt;0 2 3 2 6 1|, &amp;lt;0 0 -6 -3 -14 -1|]&lt;br /&gt;
EDOs: 37, 93, 103, 130, 233, 270, 643, 773, 913f, 1956ef&lt;br /&gt;
Badness: 0.000738&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Zisa"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Zisa&lt;/h1&gt;
Commas: 2401/2400, 5632/5625&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 -3|, &amp;lt;0 2 1 1 8|, &amp;lt;0 0 2 1 8|]&lt;br /&gt;
EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210, 2150c&lt;br /&gt;
Badness: 0.000640&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="Zisa-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;13-limit&lt;/h2&gt;
Commas: 2401/2400, 5632/5625, 4096/4095&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 -3 7|, &amp;lt;0 2 1 1 8 -6|, &amp;lt;0 0 2 1 8 -3|]&lt;br /&gt;
EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241&lt;br /&gt;
Badness: 0.000830&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Frigg"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Frigg&lt;/h1&gt;
Commas: 2401/2400, 644204/643125&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 3 4|, &amp;lt;0 2 3 2 4|, &amp;lt;0 0 -10 -5 -11|]&lt;br /&gt;
EDOs: 51, 58, 103, 161, 212, 270, 643, 913&lt;br /&gt;
Badness: 0.00179&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="Frigg-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;13-limit&lt;/h2&gt;
Commas: 2401/2400, 10648/10647, 1001/1000&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 3 4 5|, &amp;lt;0 2 3 2 4 3|, &amp;lt;0 0 -10 -5 -11 -14|]&lt;br /&gt;
EDOs: 58, 103, 161, 212, 270, 643, 1241, 2082ce, 3053ce, 3323cef&lt;br /&gt;
Badness: 0.000934&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Ennealimmic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Ennealimmic&lt;/h1&gt;
Commas: 2401/2400, 4375/4374&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;9 1 1 12 0|, &amp;lt;0 2 3 2 0|, &amp;lt;0 0 0 0 1|]&lt;br /&gt;
Generators: 27/25, 5/3, 11&lt;br /&gt;
EDOs: 27, 45, 72, 171, 198, 270, 342, 612, 954, 1323, 1395, 1665, 2007, 2277, 2619, 4284d, 4896d&lt;br /&gt;
Badness: 0.000275&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Ennealimmic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;13-limit&lt;/h2&gt;
Commas: 2080/2079, 2401/2400, 4375/4374&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;9 1 1 12 0 -31|, &amp;lt;0 2 3 2 0 5|, &amp;lt;0 0 0 0 1 1|]&lt;br /&gt;
EDOs: 27, 72, 171, 198, 270, 639, 711, 981, 1692e, 2673e&lt;br /&gt;
Badness: 0.000755&lt;/body&gt;&lt;/html&gt;</pre></div>
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