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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | [[Negri|Negri]] temperament has various extensions to the [[11-limit|11 limit]]. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-13 16:22:56 UTC</tt>.<br>
| |
| : The original revision id was <tt>382061830</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <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">[[Negri]] temperament has various extensions to the [[11-limit|11 limit]].
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|
| |
|
| =Tuning Spectra= | | =Tuning Spectra= |
| ==Spectrum of Negri Tunings by Eigenmonzos==
| |
|
| |
|
| [[Gencom]]: [2 15/14; 45/44 49/48 56/55 78/77]
| | ==Spectrum of Negri Tunings by Eigenmonzos== |
| [[Gencom map]]: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]
| |
| ||~ Eigenmonzo ||~ Supersecor ||
| |
| || 16/15 || 111.731 ||
| |
| || 8/7 || 115.587 ||
| |
| || 11/9 || 115.803 ||
| |
| || 15/14 || 119.443 ||
| |
| || 16/13 || 119.824 ||
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| || 1\10 || 120.000 ||
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| || 7/5 || 123.498 ||
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| || 15/13 || 123.871 ||
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| || 3\29 || 124.138 ||
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| || 13/10 || 124.298 ||
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| || 4/3 || 124.511 (7 and 9 limit minimax) ||
| |
| || 5\48 || 125.000 ||
| |
| || 30517578125/26795786661 || 125.469 (7 limit least squares) ||
| |
| || |0 63 -26 -1> || 125.579 (9 limit least squares) ||
| |
| || 10/9 || 125.673 ||
| |
| || 11337408/9765625 || 126.238 (5 limit least squares) ||
| |
| || 2\19 || 126.316 ||
| |
| || 6/5 || 126.337 (5 limit minimax) ||
| |
| || |0 79 -40 -5 16 2> || 126.445 (13 limit least squares) ||
| |
| || |0 34 -17 -2 7> || 126.511 (11 limit least squares) ||
| |
| || |0 73 -46 -4 20 4> || 126.619 (15 limit least squares) ||
| |
| || 18/13 || 127.324 ||
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| || 9/7 || 127.486 (11, 13 and 15 limit minimax) ||
| |
| || 5\47 || 127.660 ||
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| || 14/13 || 128.298 ||
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| || 3\28 || 128.571 ||
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| || 5/4 || 128.771 ||
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| || 11/10 || 129.374 ||
| |
| || 11/8 || 129.736 ||
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| || 7/6 || 133.435 ||
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| || 15/11 || 134.238 ||
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| || 13/12 || 138.573 ||
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| || 14/11 || 139.169 ||
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| || 13/11 || 144.605 ||
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| || 12/11 || 150.637 ||
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|
| |
|
| ==Spectrum of Negril Tunings by Eigenmonzos==
| | [[Gencom|Gencom]]: [2 15/14; 45/44 49/48 56/55 78/77] |
|
| |
|
| [[Gencom]]: [2 15/14; 49/48 65/64 91/90 875/858] | | [[Gencom_map|Gencom map]]: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|] |
| [[Gencom map]]: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|]
| |
| ||~ Eigenmonzo ||~ Supersecor ||
| |
| || 16/15 || 111.731 ||
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| || 8/7 || 115.587 ||
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| || 15/14 || 119.443 ||
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| || 16/13 || 119.824 ||
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| || 1\10 || 120.000 ||
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| || 7/5 || 123.498 ||
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| || 15/13 || 123.871 ||
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| || 14/11 || 123.906 ||
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| || 11/10 || 124.091 ||
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| || 3\29 || 124.138 ||
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| || 13/11 || 124.164 ||
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| || 15/11 || 124.203 ||
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| || 13/10 || 124.298 ||
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| || 4/3 || 124.511 (7, 9, 11, 13 and 15 limit minimax) ||
| |
| || |0 -149 8 -15 113 -23> || 124.700 (15 limit least squares) ||
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| || |0 -136 21 -14 98 -21> || 124.764 (13 limit least squares) ||
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| || |0 -125 15 -15 81> || 124.854 (11 limit least squares) ||
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| || 11/9 || 124.882 ||
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| || 12/11 || 124.965 ||
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| || 5\48 || 125.000 ||
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| || 11/8 || 125.094 ||
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| || 30517578125/26795786661 || 125.469 (7 limit least squares) ||
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| || |0 63 -26 -1> || 125.579 (9 limit least squares) ||
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| || 10/9 || 125.673 ||
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| || 11337408/9765625 || 126.238 (5 limit least squares) ||
| |
| || 2\19 || 126.316 ||
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| || 6/5 || 126.337 (5 limit minimax) ||
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| || 18/13 || 127.324 ||
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| || 9/7 || 127.486 ||
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| || 5\47 || 127.660 ||
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| || 14/13 || 128.298 ||
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| || 3\28 || 128.571 ||
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| || 5/4 || 128.771 ||
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| || 7/6 || 133.435 ||
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| || 13/12 || 138.573 ||
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|
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|
| ==Spectrum of Negric Tunings by Eigenmonzos== | | {| class="wikitable" |
| | |- |
| | ! | Eigenmonzo |
| | ! | Supersecor |
| | |- |
| | | | 16/15 |
| | | | 111.731 |
| | |- |
| | | | 8/7 |
| | | | 115.587 |
| | |- |
| | | | 11/9 |
| | | | 115.803 |
| | |- |
| | | | 15/14 |
| | | | 119.443 |
| | |- |
| | | | 16/13 |
| | | | 119.824 |
| | |- |
| | | | 1\10 |
| | | | 120.000 |
| | |- |
| | | | 7/5 |
| | | | 123.498 |
| | |- |
| | | | 15/13 |
| | | | 123.871 |
| | |- |
| | | | 3\29 |
| | | | 124.138 |
| | |- |
| | | | 13/10 |
| | | | 124.298 |
| | |- |
| | | | 4/3 |
| | | | 124.511 (7 and 9 limit minimax) |
| | |- |
| | | | 5\48 |
| | | | 125.000 |
| | |- |
| | | | 30517578125/26795786661 |
| | | | 125.469 (7 limit least squares) |
| | |- |
| | | | |0 63 -26 -1> |
| | | | 125.579 (9 limit least squares) |
| | |- |
| | | | 10/9 |
| | | | 125.673 |
| | |- |
| | | | 11337408/9765625 |
| | | | 126.238 (5 limit least squares) |
| | |- |
| | | | 2\19 |
| | | | 126.316 |
| | |- |
| | | | 6/5 |
| | | | 126.337 (5 limit minimax) |
| | |- |
| | | | |0 79 -40 -5 16 2> |
| | | | 126.445 (13 limit least squares) |
| | |- |
| | | | |0 34 -17 -2 7> |
| | | | 126.511 (11 limit least squares) |
| | |- |
| | | | |0 73 -46 -4 20 4> |
| | | | 126.619 (15 limit least squares) |
| | |- |
| | | | 18/13 |
| | | | 127.324 |
| | |- |
| | | | 9/7 |
| | | | 127.486 (11, 13 and 15 limit minimax) |
| | |- |
| | | | 5\47 |
| | | | 127.660 |
| | |- |
| | | | 14/13 |
| | | | 128.298 |
| | |- |
| | | | 3\28 |
| | | | 128.571 |
| | |- |
| | | | 5/4 |
| | | | 128.771 |
| | |- |
| | | | 11/10 |
| | | | 129.374 |
| | |- |
| | | | 11/8 |
| | | | 129.736 |
| | |- |
| | | | 7/6 |
| | | | 133.435 |
| | |- |
| | | | 15/11 |
| | | | 134.238 |
| | |- |
| | | | 13/12 |
| | | | 138.573 |
| | |- |
| | | | 14/11 |
| | | | 139.169 |
| | |- |
| | | | 13/11 |
| | | | 144.605 |
| | |- |
| | | | 12/11 |
| | | | 150.637 |
| | |} |
|
| |
|
| [[Gencom]]: [2 15/14; 33/32 49/48 65/64 91/90]
| | ==Spectrum of Negril Tunings by Eigenmonzos== |
| [[Gencom map]]: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|]
| |
| ||~ Eigenmonzo ||~ Supersecor ||
| |
| || 16/15 || 111.731 ||
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| || 8/7 || 115.587 ||
| |
| || 15/14 || 119.443 ||
| |
| || 16/13 || 119.824 ||
| |
| || 1\10 || 120.000 ||
| |
| || 7/5 || 123.498 ||
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| || 15/13 || 123.871 ||
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| || 3\29 || 124.138 ||
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| || 13/10 || 124.298 ||
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| || 4/3 || 124.511 (7 and 9 limit minimax) ||
| |
| || 5\48 || 125.000 ||
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| || 30517578125/26795786661 || 125.469 (7 limit least squares) ||
| |
| || |0 63 -26 -1> || 125.579 (9 limit least squares) ||
| |
| || 10/9 || 125.673 ||
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| || 11337408/9765625 || 126.238 (5 limit least squares) ||
| |
| || 2\19 || 126.316 ||
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| || 6/5 || 126.337 (5 limit minimax) ||
| |
| || 18/13 || 127.324 ||
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| || 9/7 || 127.486 ||
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| || |0 106 -31 4 -38 11> || 127.602 (13 limit least squares) ||
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| || 5\47 || 127.660 ||
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| || |0 -95 25 -5 31> || 127.706 (11 limit least squares) ||
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| || |0 109 -28 5 -43 13> || 127.718 (15 limit least squares) ||
| |
| || 14/13 || 128.298 ||
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| || 3\28 || 128.571 ||
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| || 5/4 || 128.771 ||
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| || 11/9 || 128.951 (11, 13 and 15 limit minimax) ||
| |
| || 13/11 || 130.113 ||
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| || 14/11 || 130.415 ||
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| || 12/11 || 131.170 ||
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| || 15/11 || 132.610 ||
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| || 7/6 || 133.435 ||
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| || 11/8 || 137.829 ||
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| || 13/12 || 138.573 ||
| |
| || 11/10 || 165.004 ||
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|
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|
| ==Spectrum of Negroni Tunings by Eigenmonzos==
| | [[Gencom|Gencom]]: [2 15/14; 49/48 65/64 91/90 875/858] |
|
| |
|
| [[Gencom]]: [2 15/14; 49/48 55/54 65/64 91/90] | | [[Gencom_map|Gencom map]]: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|] |
| [[Gencom map]]: [<1 2 2 3 5 4|, <0 -4 3 -2 -15 -3|]
| |
| ||~ Eigenmonzo ||~ Supersecor ||
| |
| || 16/15 || 111.731 ||
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| || 8/7 || 115.587 ||
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| || 15/14 || 119.443 ||
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| || 16/13 || 119.824 ||
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| || 1\10 || 120.000 ||
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| || 11/9 || 121.799 (11, 13 and 15 limit minimax) ||
| |
| || 12/11 || 122.785 ||
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| || 11/8 || 123.245 ||
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| || 7/5 || 123.498 ||
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| || 15/13 || 123.871 ||
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| || 15/11 || 124.068 ||
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| || 13/11 || 124.101 ||
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| || 3\29 || 124.138 ||
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| || 11/10 || 124.166 ||
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| || |0 19 -22 -7 32> || 124.180 (11 limit least squares) ||
| |
| || |0 33 -66 -14 90 -6> || 124.186 (15 limit least squares) ||
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| || |0 49 -50 -15 76 -8> || 124.215 (13 limit least squares) ||
| |
| || 13/10 || 124.298 ||
| |
| || 14/11 || 124.424 ||
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| || 4/3 || 124.511 (7 and 9 limit minimx) ||
| |
| || 5\48 || 125.000 ||
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| || 30517578125/26795786661 || 125.469 (7 limit least squares) ||
| |
| || |0 63 -26 -1> || 125.579 (9 limit least squares) ||
| |
| || 10/9 || 125.673 ||
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| || 11337408/9765625 || 126.238 (5 limit least squares) ||
| |
| || 6/5 || 126.337 (5 limit minimax) ||
| |
| || 18/13 || 127.324 ||
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| || 9/7 || 127.486 ||
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| || 5\47 || 127.660 ||
| |
| || 14/13 || 128.298 ||
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| || 3\28 || 128.571 ||
| |
| || 5/4 || 128.771 ||
| |
| || 7/6 || 133.435 ||
| |
| || 13/12 || 138.573 ||</pre></div>
| |
| <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Negri extensions</title></head><body><a class="wiki_link" href="/Negri">Negri</a> temperament has various extensions to the <a class="wiki_link" href="/11-limit">11 limit</a>.<br />
| |
| <br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Tuning Spectra"></a><!-- ws:end:WikiTextHeadingRule:0 -->Tuning Spectra</h1>
| |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Tuning Spectra-Spectrum of Negri Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:2 -->Spectrum of Negri Tunings by Eigenmonzos</h2>
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| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/14; 45/44 49/48 56/55 78/77]<br />
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| <a class="wiki_link" href="/Gencom%20map">Gencom map</a>: [&lt;1 2 2 3 4 4|, &lt;0 -4 3 -2 -5 -3|]<br />
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! | Eigenmonzo |
| | ! | Supersecor |
| | |- |
| | | | 16/15 |
| | | | 111.731 |
| | |- |
| | | | 8/7 |
| | | | 115.587 |
| | |- |
| | | | 15/14 |
| | | | 119.443 |
| | |- |
| | | | 16/13 |
| | | | 119.824 |
| | |- |
| | | | 1\10 |
| | | | 120.000 |
| | |- |
| | | | 7/5 |
| | | | 123.498 |
| | |- |
| | | | 15/13 |
| | | | 123.871 |
| | |- |
| | | | 14/11 |
| | | | 123.906 |
| | |- |
| | | | 11/10 |
| | | | 124.091 |
| | |- |
| | | | 3\29 |
| | | | 124.138 |
| | |- |
| | | | 13/11 |
| | | | 124.164 |
| | |- |
| | | | 15/11 |
| | | | 124.203 |
| | |- |
| | | | 13/10 |
| | | | 124.298 |
| | |- |
| | | | 4/3 |
| | | | 124.511 (7, 9, 11, 13 and 15 limit minimax) |
| | |- |
| | | | |0 -149 8 -15 113 -23> |
| | | | 124.700 (15 limit least squares) |
| | |- |
| | | | |0 -136 21 -14 98 -21> |
| | | | 124.764 (13 limit least squares) |
| | |- |
| | | | |0 -125 15 -15 81> |
| | | | 124.854 (11 limit least squares) |
| | |- |
| | | | 11/9 |
| | | | 124.882 |
| | |- |
| | | | 12/11 |
| | | | 124.965 |
| | |- |
| | | | 5\48 |
| | | | 125.000 |
| | |- |
| | | | 11/8 |
| | | | 125.094 |
| | |- |
| | | | 30517578125/26795786661 |
| | | | 125.469 (7 limit least squares) |
| | |- |
| | | | |0 63 -26 -1> |
| | | | 125.579 (9 limit least squares) |
| | |- |
| | | | 10/9 |
| | | | 125.673 |
| | |- |
| | | | 11337408/9765625 |
| | | | 126.238 (5 limit least squares) |
| | |- |
| | | | 2\19 |
| | | | 126.316 |
| | |- |
| | | | 6/5 |
| | | | 126.337 (5 limit minimax) |
| | |- |
| | | | 18/13 |
| | | | 127.324 |
| | |- |
| | | | 9/7 |
| | | | 127.486 |
| | |- |
| | | | 5\47 |
| | | | 127.660 |
| | |- |
| | | | 14/13 |
| | | | 128.298 |
| | |- |
| | | | 3\28 |
| | | | 128.571 |
| | |- |
| | | | 5/4 |
| | | | 128.771 |
| | |- |
| | | | 7/6 |
| | | | 133.435 |
| | |- |
| | | | 13/12 |
| | | | 138.573 |
| | |} |
|
| |
|
| <table class="wiki_table">
| | ==Spectrum of Negric Tunings by Eigenmonzos== |
| <tr>
| |
| <th>Eigenmonzo<br />
| |
| </th>
| |
| <th>Supersecor<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>111.731<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>8/7<br />
| |
| </td>
| |
| <td>115.587<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/9<br />
| |
| </td>
| |
| <td>115.803<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>119.443<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>119.824<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1\10<br />
| |
| </td>
| |
| <td>120.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>123.498<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>123.871<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3\29<br />
| |
| </td>
| |
| <td>124.138<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>124.298<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>124.511 (7 and 9 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\48<br />
| |
| </td>
| |
| <td>125.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30517578125/26795786661<br />
| |
| </td>
| |
| <td>125.469 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 63 -26 -1&gt;<br />
| |
| </td>
| |
| <td>125.579 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>125.673<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11337408/9765625<br />
| |
| </td>
| |
| <td>126.238 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2\19<br />
| |
| </td>
| |
| <td>126.316<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>126.337 (5 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 79 -40 -5 16 2&gt;<br />
| |
| </td>
| |
| <td>126.445 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 34 -17 -2 7&gt;<br />
| |
| </td>
| |
| <td>126.511 (11 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 73 -46 -4 20 4&gt;<br />
| |
| </td>
| |
| <td>126.619 (15 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>127.324<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>127.486 (11, 13 and 15 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\47<br />
| |
| </td>
| |
| <td>127.660<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>128.298<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3\28<br />
| |
| </td>
| |
| <td>128.571<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>128.771<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/10<br />
| |
| </td>
| |
| <td>129.374<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>129.736<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>133.435<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/11<br />
| |
| </td>
| |
| <td>134.238<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>138.573<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>139.169<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/11<br />
| |
| </td>
| |
| <td>144.605<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>150.637<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | [[Gencom|Gencom]]: [2 15/14; 33/32 49/48 65/64 91/90] |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Tuning Spectra-Spectrum of Negril Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:4 -->Spectrum of Negril Tunings by Eigenmonzos</h2>
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/14; 49/48 65/64 91/90 875/858]<br />
| |
| <a class="wiki_link" href="/Gencom%20map">Gencom map</a>: [&lt;1 2 2 3 2 4|, &lt;0 -4 3 -2 14 -3|]<br />
| |
|
| |
|
| | [[Gencom_map|Gencom map]]: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|] |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <th>Eigenmonzo<br />
| | ! | Eigenmonzo |
| </th>
| | ! | Supersecor |
| <th>Supersecor<br />
| | |- |
| </th>
| | | | 16/15 |
| </tr>
| | | | 111.731 |
| <tr>
| | |- |
| <td>16/15<br />
| | | | 8/7 |
| </td>
| | | | 115.587 |
| <td>111.731<br />
| | |- |
| </td>
| | | | 15/14 |
| </tr>
| | | | 119.443 |
| <tr>
| | |- |
| <td>8/7<br />
| | | | 16/13 |
| </td>
| | | | 119.824 |
| <td>115.587<br />
| | |- |
| </td>
| | | | 1\10 |
| </tr>
| | | | 120.000 |
| <tr>
| | |- |
| <td>15/14<br />
| | | | 7/5 |
| </td>
| | | | 123.498 |
| <td>119.443<br />
| | |- |
| </td>
| | | | 15/13 |
| </tr>
| | | | 123.871 |
| <tr>
| | |- |
| <td>16/13<br />
| | | | 3\29 |
| </td>
| | | | 124.138 |
| <td>119.824<br />
| | |- |
| </td>
| | | | 13/10 |
| </tr>
| | | | 124.298 |
| <tr>
| | |- |
| <td>1\10<br />
| | | | 4/3 |
| </td>
| | | | 124.511 (7 and 9 limit minimax) |
| <td>120.000<br />
| | |- |
| </td>
| | | | 5\48 |
| </tr>
| | | | 125.000 |
| <tr>
| | |- |
| <td>7/5<br />
| | | | 30517578125/26795786661 |
| </td>
| | | | 125.469 (7 limit least squares) |
| <td>123.498<br />
| | |- |
| </td>
| | | | |0 63 -26 -1> |
| </tr>
| | | | 125.579 (9 limit least squares) |
| <tr>
| | |- |
| <td>15/13<br />
| | | | 10/9 |
| </td>
| | | | 125.673 |
| <td>123.871<br />
| | |- |
| </td>
| | | | 11337408/9765625 |
| </tr>
| | | | 126.238 (5 limit least squares) |
| <tr>
| | |- |
| <td>14/11<br />
| | | | 2\19 |
| </td>
| | | | 126.316 |
| <td>123.906<br />
| | |- |
| </td>
| | | | 6/5 |
| </tr>
| | | | 126.337 (5 limit minimax) |
| <tr>
| | |- |
| <td>11/10<br />
| | | | 18/13 |
| </td>
| | | | 127.324 |
| <td>124.091<br />
| | |- |
| </td>
| | | | 9/7 |
| </tr>
| | | | 127.486 |
| <tr>
| | |- |
| <td>3\29<br />
| | | | |0 106 -31 4 -38 11> |
| </td>
| | | | 127.602 (13 limit least squares) |
| <td>124.138<br />
| | |- |
| </td>
| | | | 5\47 |
| </tr>
| | | | 127.660 |
| <tr>
| | |- |
| <td>13/11<br />
| | | | |0 -95 25 -5 31> |
| </td>
| | | | 127.706 (11 limit least squares) |
| <td>124.164<br />
| | |- |
| </td>
| | | | |0 109 -28 5 -43 13> |
| </tr>
| | | | 127.718 (15 limit least squares) |
| <tr>
| | |- |
| <td>15/11<br />
| | | | 14/13 |
| </td>
| | | | 128.298 |
| <td>124.203<br />
| | |- |
| </td>
| | | | 3\28 |
| </tr>
| | | | 128.571 |
| <tr>
| | |- |
| <td>13/10<br />
| | | | 5/4 |
| </td>
| | | | 128.771 |
| <td>124.298<br />
| | |- |
| </td>
| | | | 11/9 |
| </tr>
| | | | 128.951 (11, 13 and 15 limit minimax) |
| <tr>
| | |- |
| <td>4/3<br />
| | | | 13/11 |
| </td>
| | | | 130.113 |
| <td>124.511 (7, 9, 11, 13 and 15 limit minimax)<br />
| | |- |
| </td>
| | | | 14/11 |
| </tr>
| | | | 130.415 |
| <tr>
| | |- |
| <td>|0 -149 8 -15 113 -23&gt;<br />
| | | | 12/11 |
| </td>
| | | | 131.170 |
| <td>124.700 (15 limit least squares)<br />
| | |- |
| </td>
| | | | 15/11 |
| </tr>
| | | | 132.610 |
| <tr>
| | |- |
| <td>|0 -136 21 -14 98 -21&gt;<br />
| | | | 7/6 |
| </td>
| | | | 133.435 |
| <td>124.764 (13 limit least squares)<br />
| | |- |
| </td>
| | | | 11/8 |
| </tr>
| | | | 137.829 |
| <tr>
| | |- |
| <td>|0 -125 15 -15 81&gt;<br />
| | | | 13/12 |
| </td>
| | | | 138.573 |
| <td>124.854 (11 limit least squares)<br />
| | |- |
| </td>
| | | | 11/10 |
| </tr>
| | | | 165.004 |
| <tr>
| | |} |
| <td>11/9<br />
| |
| </td>
| |
| <td>124.882<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>124.965<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\48<br />
| |
| </td>
| |
| <td>125.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>125.094<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30517578125/26795786661<br />
| |
| </td>
| |
| <td>125.469 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 63 -26 -1&gt;<br />
| |
| </td>
| |
| <td>125.579 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>125.673<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11337408/9765625<br />
| |
| </td>
| |
| <td>126.238 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2\19<br />
| |
| </td>
| |
| <td>126.316<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>126.337 (5 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>127.324<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>127.486<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\47<br />
| |
| </td>
| |
| <td>127.660<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>128.298<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3\28<br />
| |
| </td>
| |
| <td>128.571<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>128.771<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>133.435<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>138.573<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | ==Spectrum of Negroni Tunings by Eigenmonzos== |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Tuning Spectra-Spectrum of Negric Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Spectrum of Negric Tunings by Eigenmonzos</h2>
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/14; 33/32 49/48 65/64 91/90]<br />
| |
| <a class="wiki_link" href="/Gencom%20map">Gencom map</a>: [&lt;1 2 2 3 3 4|, &lt;0 -4 3 -2 4 -3|]<br />
| |
|
| |
|
| | [[Gencom|Gencom]]: [2 15/14; 49/48 55/54 65/64 91/90] |
|
| |
|
| <table class="wiki_table"> | | [[Gencom_map|Gencom map]]: [<1 2 2 3 5 4|, <0 -4 3 -2 -15 -3|] |
| <tr>
| |
| <th>Eigenmonzo<br />
| |
| </th>
| |
| <th>Supersecor<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>16/15<br />
| |
| </td>
| |
| <td>111.731<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8/7<br />
| |
| </td>
| |
| <td>115.587<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/14<br />
| |
| </td>
| |
| <td>119.443<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16/13<br />
| |
| </td>
| |
| <td>119.824<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1\10<br />
| |
| </td>
| |
| <td>120.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/5<br />
| |
| </td>
| |
| <td>123.498<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/13<br />
| |
| </td>
| |
| <td>123.871<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3\29<br />
| |
| </td>
| |
| <td>124.138<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>124.298<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>124.511 (7 and 9 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\48<br />
| |
| </td>
| |
| <td>125.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30517578125/26795786661<br />
| |
| </td>
| |
| <td>125.469 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 63 -26 -1&gt;<br />
| |
| </td>
| |
| <td>125.579 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>125.673<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11337408/9765625<br />
| |
| </td>
| |
| <td>126.238 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2\19<br />
| |
| </td>
| |
| <td>126.316<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>126.337 (5 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>127.324<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>127.486<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 106 -31 4 -38 11&gt;<br />
| |
| </td>
| |
| <td>127.602 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\47<br />
| |
| </td>
| |
| <td>127.660<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 -95 25 -5 31&gt;<br />
| |
| </td>
| |
| <td>127.706 (11 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 109 -28 5 -43 13&gt;<br />
| |
| </td>
| |
| <td>127.718 (15 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>128.298<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3\28<br />
| |
| </td>
| |
| <td>128.571<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>128.771<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/9<br />
| |
| </td>
| |
| <td>128.951 (11, 13 and 15 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/11<br />
| |
| </td>
| |
| <td>130.113<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>130.415<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12/11<br />
| |
| </td>
| |
| <td>131.170<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15/11<br />
| |
| </td>
| |
| <td>132.610<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>133.435<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/8<br />
| |
| </td>
| |
| <td>137.829<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>138.573<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11/10<br />
| |
| </td>
| |
| <td>165.004<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | {| class="wikitable" |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Tuning Spectra-Spectrum of Negroni Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:8 -->Spectrum of Negroni Tunings by Eigenmonzos</h2>
| | |- |
| <br />
| | ! | Eigenmonzo |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/14; 49/48 55/54 65/64 91/90]<br />
| | ! | Supersecor |
| <a class="wiki_link" href="/Gencom%20map">Gencom map</a>: [&lt;1 2 2 3 5 4|, &lt;0 -4 3 -2 -15 -3|]<br />
| | |- |
| | | | | 16/15 |
| | | | | 111.731 |
| <table class="wiki_table">
| | |- |
| <tr>
| | | | 8/7 |
| <th>Eigenmonzo<br />
| | | | 115.587 |
| </th>
| | |- |
| <th>Supersecor<br />
| | | | 15/14 |
| </th>
| | | | 119.443 |
| </tr>
| | |- |
| <tr>
| | | | 16/13 |
| <td>16/15<br />
| | | | 119.824 |
| </td>
| | |- |
| <td>111.731<br />
| | | | 1\10 |
| </td>
| | | | 120.000 |
| </tr>
| | |- |
| <tr>
| | | | 11/9 |
| <td>8/7<br />
| | | | 121.799 (11, 13 and 15 limit minimax) |
| </td>
| | |- |
| <td>115.587<br />
| | | | 12/11 |
| </td>
| | | | 122.785 |
| </tr>
| | |- |
| <tr>
| | | | 11/8 |
| <td>15/14<br />
| | | | 123.245 |
| </td>
| | |- |
| <td>119.443<br />
| | | | 7/5 |
| </td>
| | | | 123.498 |
| </tr>
| | |- |
| <tr>
| | | | 15/13 |
| <td>16/13<br />
| | | | 123.871 |
| </td>
| | |- |
| <td>119.824<br />
| | | | 15/11 |
| </td>
| | | | 124.068 |
| </tr>
| | |- |
| <tr>
| | | | 13/11 |
| <td>1\10<br />
| | | | 124.101 |
| </td>
| | |- |
| <td>120.000<br />
| | | | 3\29 |
| </td>
| | | | 124.138 |
| </tr>
| | |- |
| <tr>
| | | | 11/10 |
| <td>11/9<br />
| | | | 124.166 |
| </td>
| | |- |
| <td>121.799 (11, 13 and 15 limit minimax)<br />
| | | | |0 19 -22 -7 32> |
| </td>
| | | | 124.180 (11 limit least squares) |
| </tr>
| | |- |
| <tr>
| | | | |0 33 -66 -14 90 -6> |
| <td>12/11<br />
| | | | 124.186 (15 limit least squares) |
| </td>
| | |- |
| <td>122.785<br />
| | | | |0 49 -50 -15 76 -8> |
| </td>
| | | | 124.215 (13 limit least squares) |
| </tr>
| | |- |
| <tr>
| | | | 13/10 |
| <td>11/8<br />
| | | | 124.298 |
| </td>
| | |- |
| <td>123.245<br />
| | | | 14/11 |
| </td>
| | | | 124.424 |
| </tr>
| | |- |
| <tr>
| | | | 4/3 |
| <td>7/5<br />
| | | | 124.511 (7 and 9 limit minimx) |
| </td>
| | |- |
| <td>123.498<br />
| | | | 5\48 |
| </td>
| | | | 125.000 |
| </tr>
| | |- |
| <tr>
| | | | 30517578125/26795786661 |
| <td>15/13<br />
| | | | 125.469 (7 limit least squares) |
| </td>
| | |- |
| <td>123.871<br />
| | | | |0 63 -26 -1> |
| </td>
| | | | 125.579 (9 limit least squares) |
| </tr>
| | |- |
| <tr>
| | | | 10/9 |
| <td>15/11<br />
| | | | 125.673 |
| </td>
| | |- |
| <td>124.068<br />
| | | | 11337408/9765625 |
| </td>
| | | | 126.238 (5 limit least squares) |
| </tr>
| | |- |
| <tr>
| | | | 6/5 |
| <td>13/11<br />
| | | | 126.337 (5 limit minimax) |
| </td>
| | |- |
| <td>124.101<br />
| | | | 18/13 |
| </td>
| | | | 127.324 |
| </tr>
| | |- |
| <tr>
| | | | 9/7 |
| <td>3\29<br />
| | | | 127.486 |
| </td>
| | |- |
| <td>124.138<br />
| | | | 5\47 |
| </td>
| | | | 127.660 |
| </tr>
| | |- |
| <tr>
| | | | 14/13 |
| <td>11/10<br />
| | | | 128.298 |
| </td>
| | |- |
| <td>124.166<br />
| | | | 3\28 |
| </td>
| | | | 128.571 |
| </tr>
| | |- |
| <tr>
| | | | 5/4 |
| <td>|0 19 -22 -7 32&gt;<br />
| | | | 128.771 |
| </td>
| | |- |
| <td>124.180 (11 limit least squares)<br />
| | | | 7/6 |
| </td>
| | | | 133.435 |
| </tr>
| | |- |
| <tr>
| | | | 13/12 |
| <td>|0 33 -66 -14 90 -6&gt;<br />
| | | | 138.573 |
| </td>
| | |} |
| <td>124.186 (15 limit least squares)<br />
| | [[Category:eigenmonzo]] |
| </td>
| | [[Category:negri]] |
| </tr>
| | [[Category:negric]] |
| <tr>
| | [[Category:negril]] |
| <td>|0 49 -50 -15 76 -8&gt;<br />
| | [[Category:negroni]] |
| </td>
| | [[Category:spectrum]] |
| <td>124.215 (13 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/10<br />
| |
| </td>
| |
| <td>124.298<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/11<br />
| |
| </td>
| |
| <td>124.424<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4/3<br />
| |
| </td>
| |
| <td>124.511 (7 and 9 limit minimx)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\48<br />
| |
| </td>
| |
| <td>125.000<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30517578125/26795786661<br />
| |
| </td>
| |
| <td>125.469 (7 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>|0 63 -26 -1&gt;<br />
| |
| </td>
| |
| <td>125.579 (9 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10/9<br />
| |
| </td>
| |
| <td>125.673<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11337408/9765625<br />
| |
| </td>
| |
| <td>126.238 (5 limit least squares)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6/5<br />
| |
| </td>
| |
| <td>126.337 (5 limit minimax)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/13<br />
| |
| </td>
| |
| <td>127.324<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9/7<br />
| |
| </td>
| |
| <td>127.486<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5\47<br />
| |
| </td>
| |
| <td>127.660<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14/13<br />
| |
| </td>
| |
| <td>128.298<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3\28<br />
| |
| </td>
| |
| <td>128.571<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/4<br />
| |
| </td>
| |
| <td>128.771<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/6<br />
| |
| </td>
| |
| <td>133.435<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/12<br />
| |
| </td>
| |
| <td>138.573<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |