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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Breadcrumb|Negri}}
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>2012-11-06 19:28:43 UTC</tt>.<br>
: The original revision id was <tt>379878890</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">[[Negri]] temperament has various extensions to the 11 limit.


=Tuning Spectra=
[[Negri]] has various competing [[extension]]s to the [[11-limit]]. This is evidenced by the fact that its [[support]]ing equal temperaments, [[10edo|10]] and [[19edo|19]], do less well in the 11-limit. The extensions are:
==Spectrum of Negri Tunings by Eigenmonzos==
* '''Undecimal negri''' (10 & 19) – tempering out 45/44, 49/48, and 56/55
* '''Negril''' (10e & 19) – tempering out 49/48, 100/99, and 225/224
* '''Negric''' (10e & 19e) – tempering out 33/32, 49/48, and 77/75
* '''Negroni''' (10 & 19e) – tempering out 49/48, 55/54, and 225/224


Gencom: [2 15/14; 45/44 49/48 56/55 78/77]
The most important of these is undecimal negri, in which the generator, representing 13/12, 14/13, 15/14, and 16/15, goes one step further to stand in for ~12/11. The poor accuracy comes with a not overly complex mapping, as you can find ~16/11 just five generator steps away. Its evil cousin, negric, finds ~11/8 where negri will find ~15/11, which is of course conflated with [[4/3]].  
Gencom map: [&lt;1 2 2 3 4 4|, &lt;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 ||
|| 7/5 || 123.498 ||
|| 15/13 || 123.871 ||
|| 13/10 || 124.298 ||
|| 4/3 || 124.511 ||
|| 10/9 || 125.673 ||
|| 6/5 || 126.337 ||
|| 18/13 || 127.324 ||
|| 9/7 || 127.486 ||
|| 14/13 || 128.298 ||
|| 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 ||


==Spectrum of Negril Tunings by Eigenmonzos==
The other pair of extensions are of higher complexity, but are well rewarded with better intonation. Negril finds ~11/8 where negroni will find ~15/11 and vice versa. They unite in [[29edo]], which can be recommended as a tuning for both.


Gencom: [2 15/14; 49/48 65/64 91/90 875/858]
Another possible path which relates a sense of compromise is to temper out [[121/120]], leading to [[wilsec]]. This has the effect of slicing the generator in two, and is supported by [[20edo|20]], [[29edo|29]], and [[38edo|38df]].  
Gencom map: [&lt;1 2 2 3 2 4|, &lt;0 -4 3 -2 14 -3|]
||~ Eigenmonzo ||~ Supersecor ||
|| 16/15 || 111.731 ||
|| 8/7 || 115.587 ||
|| 15/14 || 119.443 ||
|| 16/13 || 119.824 ||
|| 7/5 || 123.498 ||
|| 15/13 || 123.871 ||
|| 14/11 || 123.906 ||
|| 11/10 || 124.091 ||
|| 13/11 || 124.164 ||
|| 15/11 || 124.203 ||
|| 13/10 || 124.298 ||
|| 4/3 || 124.511 ||
|| 11/9 || 124.882 ||
|| 12/11 || 124.965 ||
|| 11/8 || 125.094 ||
|| 10/9 || 125.673 ||
|| 6/5 || 126.337 ||
|| 18/13 || 127.324 ||
|| 9/7 || 127.486 ||
|| 14/13 || 128.298 ||
|| 5/4 || 128.771 ||
|| 7/6 || 133.435 ||
|| 13/12 || 138.573 ||


== Interval chain ==
In the following table, odd harmonics and subharmonics 1–13 are in '''bold'''.


</pre></div>
{| class="wikitable center-1 right-2"
<h4>Original HTML content:</h4>
! rowspan="3" | #
<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;Negri extensions&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/Negri"&gt;Negri&lt;/a&gt; temperament has various extensions to the 11 limit.&lt;br /&gt;
! rowspan="3" | Cents*
&lt;br /&gt;
! colspan="5" | Approximate ratios
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Tuning Spectra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Tuning Spectra&lt;/h1&gt;
|-
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Tuning Spectra-Spectrum of Negri Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Spectrum of Negri Tunings by Eigenmonzos&lt;/h2&gt;
! rowspan="2" | 2.3.5.7.13 subgroup
&lt;br /&gt;
! colspan="4" | Full 13-limit extensions
Gencom: [2 15/14; 45/44 49/48 56/55 78/77]&lt;br /&gt;
|-
Gencom map: [&amp;lt;1 2 2 3 4 4|, &amp;lt;0 -4 3 -2 -5 -3|]&lt;br /&gt;
! Negri
! Negril
! Negric
! Negroni
|-
| 0
| 0.0
| '''1/1'''
|
|
|
|
|-
| 1
| 125.4
| 13/12, 14/13, 15/14, 16/15
| 12/11
|
| 11/10
|
|-
| 2
| 250.7
| 7/6, '''8/7''', 15/13
| 13/11
|
|
|
|-
| 3
| 376.1
| '''5/4''', '''16/13'''
| 11/9, 14/11
|
|
|
|-
| 4
| 501.4
| '''4/3'''
| 15/11
|
| '''11/8'''
|
|-
| 5
| 626.8
| 10/7, 13/9
| '''16/11'''
|
| 22/15
|
|-
| 6
| 752.1
| 14/9, 20/13, 32/21
|
|
| 11/7
|
|-
| 7
| 877.5
| 5/3
|
|
| 22/13
| 18/11
|-
| 8
| 1002.8
| '''16/9'''
| 20/11
|
| 11/6
|
|-
| 9
| 1128.2
| 35/18, 40/21, 52/27
| 64/33
|
| 88/45
|
|-
| 10
| 53.5
| 25/24, 28/27, 50/49, 64/63
|
| 33/32
|
| 45/44
|-
| 11
| 178.9
| 10/9
|
| 11/10
|
| 12/11
|-
| 12
| 304.3
| 25/21
|
|
| 11/9
| 13/11
|-
| 13
| 429.6
| 35/27
|
|
|
| 14/11
|-
| 14
| 555.0
| 25/18
|
| '''11/8'''
|
| 15/11
|-
| 15
| 680.3
| 40/27
|
| 22/15
|
| '''16/11'''
|-
| 16
| 805.7
| 100/63
|
| 11/7
|
|
|-
| 17
| 931.0
| 140/81
|
| 22/13
|
|
|-
| 18
| 1056.4
| 50/27
|
| 11/6
|
|
|-
| 19
| 1181.7
| 125/63, 160/81
|
| 88/45
|
| 64/33
|}
<nowiki/>* In 2.3.5.7.13-subgroup [[CWE tuning]]


== Tuning spectra ==
=== Undecimal negri ===


&lt;table class="wiki_table"&gt;
{| class="wikitable center-all left-4"
    &lt;tr&gt;
|-
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
! Edo<br>generator
&lt;/th&gt;
! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]]
        &lt;th&gt;Supersecor&lt;br /&gt;
! Generator (¢)
&lt;/th&gt;
! Comments
    &lt;/tr&gt;
|-
    &lt;tr&gt;
|
        &lt;td&gt;16/15&lt;br /&gt;
| 15/8
&lt;/td&gt;
| 111.731
        &lt;td&gt;111.731&lt;br /&gt;
|
&lt;/td&gt;
|-
    &lt;/tr&gt;
|
    &lt;tr&gt;
| 7/4
        &lt;td&gt;8/7&lt;br /&gt;
| 115.587
&lt;/td&gt;
|
        &lt;td&gt;115.587&lt;br /&gt;
|-
&lt;/td&gt;
|
    &lt;/tr&gt;
| 11/9
    &lt;tr&gt;
| 115.803
        &lt;td&gt;11/9&lt;br /&gt;
|
&lt;/td&gt;
|-
        &lt;td&gt;115.803&lt;br /&gt;
|
&lt;/td&gt;
| 15/14
    &lt;/tr&gt;
| 119.443
    &lt;tr&gt;
|
        &lt;td&gt;15/14&lt;br /&gt;
|-
&lt;/td&gt;
|
        &lt;td&gt;119.443&lt;br /&gt;
| 13/8
&lt;/td&gt;
| 119.824
    &lt;/tr&gt;
|
    &lt;tr&gt;
|-
        &lt;td&gt;16/13&lt;br /&gt;
| 1\10
&lt;/td&gt;
|
        &lt;td&gt;119.824&lt;br /&gt;
| 120.000
&lt;/td&gt;
|
    &lt;/tr&gt;
|-
    &lt;tr&gt;
|
        &lt;td&gt;7/5&lt;br /&gt;
| 7/5
&lt;/td&gt;
| 123.498
        &lt;td&gt;123.498&lt;br /&gt;
|
&lt;/td&gt;
|-
    &lt;/tr&gt;
|
    &lt;tr&gt;
| 15/13
        &lt;td&gt;15/13&lt;br /&gt;
| 123.871
&lt;/td&gt;
|
        &lt;td&gt;123.871&lt;br /&gt;
|-
&lt;/td&gt;
| 3\29
    &lt;/tr&gt;
|
    &lt;tr&gt;
| 124.138
        &lt;td&gt;13/10&lt;br /&gt;
|
&lt;/td&gt;
|-
        &lt;td&gt;124.298&lt;br /&gt;
|
&lt;/td&gt;
| 13/10
    &lt;/tr&gt;
| 124.298
    &lt;tr&gt;
|
        &lt;td&gt;4/3&lt;br /&gt;
|-
&lt;/td&gt;
|
        &lt;td&gt;124.511&lt;br /&gt;
| 3/2
&lt;/td&gt;
| 124.511
    &lt;/tr&gt;
| 7- and 9-odd-limit minimax
    &lt;tr&gt;
|-
        &lt;td&gt;10/9&lt;br /&gt;
| 5\48
&lt;/td&gt;
|
        &lt;td&gt;125.673&lt;br /&gt;
| 125.000
&lt;/td&gt;
|
    &lt;/tr&gt;
|-
    &lt;tr&gt;
|
        &lt;td&gt;6/5&lt;br /&gt;
| {{monzo| 0 -13 15 -5 }}
&lt;/td&gt;
| 125.469
        &lt;td&gt;126.337&lt;br /&gt;
| 7-odd-limit least squares
&lt;/td&gt;
|-
    &lt;/tr&gt;
|
    &lt;tr&gt;
| {{monzo| 0 63 -26 -1 }}
        &lt;td&gt;18/13&lt;br /&gt;
| 125.579
&lt;/td&gt;
| 9-odd-limit least squares
        &lt;td&gt;127.324&lt;br /&gt;
|-
&lt;/td&gt;
|
    &lt;/tr&gt;
| 9/5
    &lt;tr&gt;
| 125.673
        &lt;td&gt;9/7&lt;br /&gt;
|
&lt;/td&gt;
|-
        &lt;td&gt;127.486&lt;br /&gt;
|
&lt;/td&gt;
| {{monzo| 6 11 -10 }}
    &lt;/tr&gt;
| 126.238
    &lt;tr&gt;
| 5-odd-limit least squares
        &lt;td&gt;14/13&lt;br /&gt;
|-
&lt;/td&gt;
| 2\19
        &lt;td&gt;128.298&lt;br /&gt;
|
&lt;/td&gt;
| 126.316
    &lt;/tr&gt;
|
    &lt;tr&gt;
|-
        &lt;td&gt;5/4&lt;br /&gt;
|
&lt;/td&gt;
| 5/3
        &lt;td&gt;128.771&lt;br /&gt;
| 126.337
&lt;/td&gt;
| 5-odd-limit minimax
    &lt;/tr&gt;
|-
    &lt;tr&gt;
|
        &lt;td&gt;11/10&lt;br /&gt;
| {{monzo| 0 79 -40 -5 16 2 }}
&lt;/td&gt;
| 126.445
        &lt;td&gt;129.374&lt;br /&gt;
| 13-odd-limit least squares
&lt;/td&gt;
|-
    &lt;/tr&gt;
|
    &lt;tr&gt;
| {{monzo| 0 34 -17 -2 7 }}
        &lt;td&gt;11/8&lt;br /&gt;
| 126.511
&lt;/td&gt;
| 11-odd-limit least squares
        &lt;td&gt;129.736&lt;br /&gt;
|-
&lt;/td&gt;
|
    &lt;/tr&gt;
| {{monzo| 0 73 -46 -4 20 4 }}
    &lt;tr&gt;
| 126.619
        &lt;td&gt;7/6&lt;br /&gt;
| 15-odd-limit least squares
&lt;/td&gt;
|-
        &lt;td&gt;133.435&lt;br /&gt;
|
&lt;/td&gt;
| 13/9
    &lt;/tr&gt;
| 127.324
    &lt;tr&gt;
|
        &lt;td&gt;15/11&lt;br /&gt;
|-
&lt;/td&gt;
|
        &lt;td&gt;134.238&lt;br /&gt;
| 9/7
&lt;/td&gt;
| 127.486
    &lt;/tr&gt;
| 11-, 13- and 15-odd-limit minimax
    &lt;tr&gt;
|-
        &lt;td&gt;13/12&lt;br /&gt;
| 5\47
&lt;/td&gt;
|
        &lt;td&gt;138.573&lt;br /&gt;
| 127.660
&lt;/td&gt;
|
    &lt;/tr&gt;
|-
    &lt;tr&gt;
|
        &lt;td&gt;14/11&lt;br /&gt;
| 13/7
&lt;/td&gt;
| 128.298
        &lt;td&gt;139.169&lt;br /&gt;
|
&lt;/td&gt;
|-
    &lt;/tr&gt;
| 3\28
    &lt;tr&gt;
|
        &lt;td&gt;13/11&lt;br /&gt;
| 128.571
&lt;/td&gt;
|
        &lt;td&gt;144.605&lt;br /&gt;
|-
&lt;/td&gt;
|
    &lt;/tr&gt;
| 5/4
    &lt;tr&gt;
| 128.771
        &lt;td&gt;12/11&lt;br /&gt;
|
&lt;/td&gt;
|-
        &lt;td&gt;150.637&lt;br /&gt;
|
&lt;/td&gt;
| 11/10
    &lt;/tr&gt;
| 129.374
&lt;/table&gt;
|
|-
|
| 11/8
| 129.736
|
|-
| 1\9
|
| 133.333
|
|-
|
| 7/6
| 133.435
|
|-
|
| 15/11
| 134.238
|
|-
|
| 13/12
| 138.573
|
|-
|
| 11/7
| 139.169
|
|-
|
| 13/11
| 144.605
|
|-
|
| 11/6
| 150.637
|
|}


&lt;br /&gt;
=== Negril ===
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Tuning Spectra-Spectrum of Negril Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Spectrum of Negril Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
Gencom: [2 15/14; 49/48 65/64 91/90 875/858]&lt;br /&gt;
Gencom map: [&amp;lt;1 2 2 3 2 4|, &amp;lt;0 -4 3 -2 14 -3|]&lt;br /&gt;


{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! Unchanged interval<br>(eigenmonzo)
! Generator (¢)
! Comments
|-
|
| 15/8
| 111.731
|
|-
|
| 7/4
| 115.587
|
|-
|
| 15/14
| 119.443
|
|-
|
| 13/8
| 119.824
|
|-
| 1\10
|
| 120.000
|
|-
|
| 7/5
| 123.498
|
|-
|
| 15/13
| 123.871
|
|-
|
| 11/7
| 123.906
|
|-
|
| 11/10
| 124.091
|
|-
| 3\29
|
| 124.138
|
|-
|
| 13/11
| 124.164
|
|-
|
| 15/11
| 124.203
|
|-
|
| 13/10
| 124.298
|
|-
|
| 3/2
| 124.511
| 7-, 9-, 11-, 13- and 15-odd-limit minimax
|-
|
| {{monzo| 0 -149 8 -15 113 -23 }}
| 124.700
| 15-odd-limit least squares
|-
|
| {{monzo| 0 -136 21 -14 98 -21 }}
| 124.764
| 13-odd-limit least squares
|-
|
| {{monzo| 0 -125 15 -15 81 }}
| 124.854
| 11-odd-limit least squares
|-
|
| 11/9
| 124.882
|
|-
|
| 11/6
| 124.965
|
|-
| 5\48
|
| 125.000
|
|-
|
| 11/8
| 125.094
|
|-
|
| {{monzo| 0 -13 15 -5 }}
| 125.469
| 7-odd-limit least squares
|-
|
| {{monzo| 0 63 -26 -1 }}
| 125.579
| 9-odd-limit least squares
|-
|
| 9/5
| 125.673
|
|-
|
| {{monzo| 6 11 -10 }}
| 126.238
| 5-odd-limit least squares
|-
| 2\19
|
| 126.316
|
|-
|
| 5/3
| 126.337
| 5-odd-limit minimax
|-
|
| 13/9
| 127.324
|
|-
|
| 9/7
| 127.486
|
|-
| 5\47
|
| 127.660
|
|-
|
| 13/7
| 128.298
|
|-
| 3\28
|
| 128.571
|
|-
|
| 5/4
| 128.771
|
|-
| 1\9
|
| 133.333
|
|-
|
| 7/6
| 133.435
|
|-
|
| 13/12
| 138.573
|
|}


&lt;table class="wiki_table"&gt;
=== Negric ===
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Supersecor&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;111.731&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;115.587&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;119.443&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;119.824&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;123.498&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;123.871&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;123.906&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;124.091&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;124.164&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;124.203&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;124.298&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;124.511&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;124.882&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;124.965&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;125.094&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;125.673&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;126.337&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;127.324&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;127.486&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;128.298&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;128.771&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;133.435&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;138.573&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! Unchanged interval<br>(eigenmonzo)
! Generator (¢)
! Comments
|-
|
| 15/8
| 111.731
|
|-
|
| 7/4
| 115.587
|
|-
|
| 15/14
| 119.443
|
|-
|
| 13/8
| 119.824
|
|-
| 1\10
|
| 120.000
|
|-
|
| 7/5
| 123.498
|
|-
|
| 15/13
| 123.871
|
|-
| 3\29
|
| 124.138
|
|-
|
| 13/10
| 124.298
|
|-
|
| 3/2
| 124.511
| 7- and 9-odd-limit minimax
|-
| 5\48
|
| 125.000
|
|-
|
| {{monzo| 0 -13 15 -5 }}
| 125.469
| 7-odd-limit least squares
|-
|
| {{monzo| 0 63 -26 -1 }}
| 125.579
| 9-odd-limit least squares
|-
|
| 9/5
| 125.673
|
|-
|
| {{monzo| 6 11 -10 }}
| 126.238
| 5-odd-limit least squares
|-
| 2\19
|
| 126.316
|
|-
|
| 5/3
| 126.337
| 5-odd-limit minimax
|-
|
| 13/9
| 127.324
|
|-
|
| 9/7
| 127.486
|
|-
|
| {{monzo| 0 106 -31 4 -38 11 }}
| 127.602
| 13-odd-limit least squares
|-
| 5\47
|
| 127.660
|
|-
|
| {{monzo| 0 -95 25 -5 31 }}
| 127.706
| 11 limit least squares
|-
|
| {{monzo| 0 109 -28 5 -43 13 }}
| 127.718
| 15-odd-limit least squares
|-
|
| 13/7
| 128.298
|
|-
| 3\28
|
| 128.571
|
|-
|
| 5/4
| 128.771
|
|-
|
| 11/9
| 128.951
| 11-, 13- and 15-odd-limit minimax
|-
|
| 13/11
| 130.113
|
|-
|
| 11/7
| 130.415
|
|-
|
| 11/6
| 131.170
|
|-
|
| 15/11
| 132.610
|
|-
| 1\9
|
| 133.333
|
|-
|
| 7/6
| 133.435
|
|-
|
| 11/8
| 137.829
|
|-
|
| 13/12
| 138.573
|
|-
|
| 11/10
| 165.004
|
|}
 
=== Negroni ===
 
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! Unchanged interval<br>(eigenmonzo)
! Generator (¢)
! Comments
|-
|
| 15/8
| 111.731
|
|-
|
| 7/4
| 115.587
|
|-
|
| 15/14
| 119.443
|
|-
|
| 13/8
| 119.824
|
|-
| 1\10
|
| 120.000
|
|-
|
| 11/9
| 121.799
| 11-, 13- and 15-odd-limit minimax
|-
|
| 11/6
| 122.785
|
|-
|
| 11/8
| 123.245
|
|-
|
| 7/5
| 123.498
|
|-
|
| 15/13
| 123.871
|
|-
|
| 15/11
| 124.068
|
|-
|
| 13/11
| 124.101
|
|-
| 3\29
|
| 124.138
|
|-
|
| 11/10
| 124.166
|
|-
|
| {{monzo| 0 19 -22 -7 32 }}
| 124.180
| 11-odd-limit least squares
|-
|
| {{monzo| 0 33 -66 -14 90 -6 }}
| 124.186
| 15-odd-limit least squares
|-
|
| {{monzo| 0 49 -50 -15 76 -8 }}
| 124.215
| 13-odd-limit least squares
|-
|
| 13/10
| 124.298
|
|-
|
| 11/7
| 124.424
|
|-
|
| 3/2
| 124.511
| 7- and 9-odd-limit minimax
|-
| 5\48
|
| 125.000
|
|-
|
| {{monzo| 0 -13 15 -5 }}
| 125.469
| 7-odd-limit least squares
|-
|
| {{monzo| 0 63 -26 -1 }}
| 125.579
| 9-odd-limit least squares
|-
|
| 9/5
| 125.673
|
|-
|
| {{monzo| 6 11 -10 }}
| 126.238
| 5-odd-limit least squares
|-
|
| 5/3
| 126.337
| 5-odd-limit minimax
|-
|
| 13/9
| 127.324
|
|-
|
| 9/7
| 127.486
|
|-
| 5\47
|
| 127.660
|
|-
|
| 13/7
| 128.298
|
|-
| 3\28
|
| 128.571
|
|-
|
| 5/4
| 128.771
|
|-
| 1\9
|
| 133.333
|
|-
|
| 7/6
| 133.435
|
|-
|
| 13/12
| 138.573
|
|}
 
[[Category:Negri]]
[[Category:Temperament extensions]]
[[Category:Rank-2 temperaments]]
Retrieved from "https://en.xen.wiki/w/Negri_extensions"