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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
=Properties=
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-12 12:21:02 UTC</tt>.<br>
: The original revision id was <tt>601988872</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|flat]]
=Properties=  
17edt divides 3, the tritave, into 17 equal parts of 111.880 cents each, corresponding to 10.726 edo. It tempers out 245/243 and 16807/15625 in the 7-limit, 77/75 and 1331/1323 in the 11-limit, and 175/169 and 121/117 in the 13-limit. It supports the no-twos temperament tempering out 245/243 and 77/75, which in terms of tritave patent vals could be written 17&amp;21.
17edt divides 3, the tritave, into 17 equal parts of 111.880 cents each, corresponding to 10.726 edo. It tempers out 245/243 and 16807/15625 in the 7-limit, 77/75 and 1331/1323 in the 11-limit, and 175/169 and 121/117 in the 13-limit. It supports the no-twos temperament tempering out 245/243 and 77/75, which in terms of tritave patent vals could be written 17&amp;21.


17edt is the sixth [[The Riemann Zeta Function and Tuning#Removing%20primes|zeta peak tritave division]].
17edt is the sixth [[The_Riemann_Zeta_Function_and_Tuning#Removing primes|zeta peak tritave division]].
 
=Discussion=
17edt is closely related to [[13edt|13edt]], the Bohlen-Pierce division, because they share the feature of tempering out 245/243. Both 13edt and 17edt have 4L+5s nonatonic modes, but whereas the ratio of large to small steps in 13edt is a calm 2:1, in 17edt it is a hard 3:1. Thus, the approximation of 5/3 and 7/3 suffers slightly in return for gaining a good approximation of 11/9 (given the context of the weak 5/3 and 7/3), which is in fact the size of the large step. However, by the coincidence of the 11-limit commas 17edt tempers out, 5/3 and 11/9 are off by practically the same amount in opposite directions (+10.7 cents and -11.8 cents), leading to an excellent approximation of 55/27 (only 1.1 cents flat), as are 11/9 and 9/7 (-11.8 cents and +12.4 cents),


=Discussion=
17edt is closely related to [[13edt]], the Bohlen-Pierce division, because they share the feature of tempering out 245/243. Both 13edt and 17edt have 4L+5s nonatonic modes, but whereas the ratio of large to small steps in 13edt is a calm 2:1, in 17edt it is a hard 3:1. Thus, the approximation of 5/3 and 7/3 suffers slightly in return for gaining a good approximation of 11/9 (given the context of the weak 5/3 and 7/3), which is in fact the size of the large step. However, by the coincidence of the 11-limit commas 17edt tempers out, 5/3 and 11/9 are off by practically the same amount in opposite directions (+10.7 cents and -11.8 cents), leading to an excellent approximation of 55/27 (only 1.1 cents flat), as are 11/9 and 9/7 (-11.8 cents and +12.4 cents),
leading to an excellent approximation of 11/7 (only .6 cents flat) and these sum to 605/189-1.7 cents, which is also a 16/5 which is only .3 cents flat (in addition to equaling 256).
leading to an excellent approximation of 11/7 (only .6 cents flat) and these sum to 605/189-1.7 cents, which is also a 16/5 which is only .3 cents flat (in addition to equaling 256).


=Intervals=  
=Intervals=
|| degree of 17edt || note name || cents value || cents value octave reduced ||
|| 0 || C || 0 ||  ||
|| 1 || Db = B# || 111.9 ||  ||
|| 2 || Eb = C# || 223.8 ||  ||
|| 3 || D || 335.6 ||  ||
|| 4 || E || 447.5 ||  ||
|| 5 || F = D# || 559.4 ||  ||
|| 6 || Gb = E# || 671.3 ||  ||
|| 7 || Hb = F# || 783.2 ||  ||
|| 8 || G || 895.1 ||  ||
|| 9 || H || 1006.9 ||  ||
|| 10 || Jb = G# || 1118.8 ||  ||
|| 11 || Ab = H# || 1230.7 || 30.7 ||
|| 12 || J || 1342.6 || 142.6 ||
|| 13 || A || 1454.5 || 254.5 ||
|| 14 || Bb = J# || 1566.3 || 366.3 ||
|| 15 || Cb = A# || 1678.2 || 478.2 ||
|| 16 || B || 1790.1 || 590.1 ||
|| 17 || C || 1902.0 || 702.0 ||
|| 18 ||  || 2013.9 || 813.9 ||
|| 19 ||  || 2125.8 || 925.8 ||
|| 20 ||  || 2237.6 || 1037.6 ||
|| 21 ||  || 2349.5 || 1149.5 ||
|| 22 ||  || 2461.4 || 61.4 ||
|| 23 ||  || 2573.2 || 173.2 ||
|| 24 ||  || 2685.2 || 285.2 ||
|| 25 ||  || 2797.1 || 397.1 ||
|| 26 ||  || 2908.9 || 508.9 ||
|| 27 ||  || 3020.8 || 620.8 ||
|| 28 ||  || 3132.7 || 732.7 ||
|| 29 ||  || 3244.6 || 844.6 ||
|| 30 ||  || 3356.5 || 956.5 ||
|| 31 ||  || 3468.3 || 1068.3 ||
|| 32 ||  || 3580.2 || 1180.2 ||
|| 33 ||  || 3692.1 || 92.1 ||
|| 34 ||  || 3804.0 || 204.0 ||
 
* Notes named so that C D E F G H J A B C = Lambda mode
It's a weird coincidence how the schemes of 17edo and 17edt diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17edo -11.6 cents and 17edt +12.4 cents).


=Z function=  
{| class="wikitable"
Below is a plot of the [[The Riemann Zeta Function and Tuning#Removing%20primes|no-twos Z function]] in the vicinity of 17edt.
|-
| | degree of 17edt
| | note name
| | cents value
| | cents value octave reduced
|-
| | 0
| | C
| | 0
| |
|-
| | 1
| | Db = B#
| | 111.9
| |
|-
| | 2
| | Eb = C#
| | 223.8
| |
|-
| | 3
| | D
| | 335.6
| |
|-
| | 4
| | E
| | 447.5
| |
|-
| | 5
| | F = D#
| | 559.4
| |
|-
| | 6
| | Gb = E#
| | 671.3
| |
|-
| | 7
| | Hb = F#
| | 783.2
| |
|-
| | 8
| | G
| | 895.1
| |
|-
| | 9
| | H
| | 1006.9
| |
|-
| | 10
| | Jb = G#
| | 1118.8
| |
|-
| | 11
| | Ab = H#
| | 1230.7
| | 30.7
|-
| | 12
| | J
| | 1342.6
| | 142.6
|-
| | 13
| | A
| | 1454.5
| | 254.5
|-
| | 14
| | Bb = J#
| | 1566.3
| | 366.3
|-
| | 15
| | Cb = A#
| | 1678.2
| | 478.2
|-
| | 16
| | B
| | 1790.1
| | 590.1
|-
| | 17
| | C
| | 1902.0
| | 702.0
|-
| | 18
| |
| | 2013.9
| | 813.9
|-
| | 19
| |
| | 2125.8
| | 925.8
|-
| | 20
| |
| | 2237.6
| | 1037.6
|-
| | 21
| |
| | 2349.5
| | 1149.5
|-
| | 22
| |
| | 2461.4
| | 61.4
|-
| | 23
| |
| | 2573.2
| | 173.2
|-
| | 24
| |
| | 2685.2
| | 285.2
|-
| | 25
| |
| | 2797.1
| | 397.1
|-
| | 26
| |
| | 2908.9
| | 508.9
|-
| | 27
| |
| | 3020.8
| | 620.8
|-
| | 28
| |
| | 3132.7
| | 732.7
|-
| | 29
| |
| | 3244.6
| | 844.6
|-
| | 30
| |
| | 3356.5
| | 956.5
|-
| | 31
| |
| | 3468.3
| | 1068.3
|-
| | 32
| |
| | 3580.2
| | 1180.2
|-
| | 33
| |
| | 3692.1
| | 92.1
|-
| | 34
| |
| | 3804.0
| | 204.0
|}


[[image:17edt.png]]</pre></div>
<ul><li>Notes named so that C D E F G H J A B C = Lambda mode</li></ul>It's a weird coincidence how the schemes of 17edo and 17edt diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17edo -11.6 cents and 17edt +12.4 cents).
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;17edt&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:8:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;a href="#Properties"&gt;Properties&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt; | &lt;a href="#Discussion"&gt;Discussion&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt; | &lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt; | &lt;a href="#Z function"&gt;Z function&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;
&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Properties"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Properties&lt;/h1&gt;
17edt divides 3, the tritave, into 17 equal parts of 111.880 cents each, corresponding to 10.726 edo. It tempers out 245/243 and 16807/15625 in the 7-limit, 77/75 and 1331/1323 in the 11-limit, and 175/169 and 121/117 in the 13-limit. It supports the no-twos temperament tempering out 245/243 and 77/75, which in terms of tritave patent vals could be written 17&amp;amp;21.&lt;br /&gt;
&lt;br /&gt;
17edt is the sixth &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Removing%20primes"&gt;zeta peak tritave division&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="Discussion"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Discussion&lt;/h1&gt;
17edt is closely related to &lt;a class="wiki_link" href="/13edt"&gt;13edt&lt;/a&gt;, the Bohlen-Pierce division, because they share the feature of tempering out 245/243. Both 13edt and 17edt have 4L+5s nonatonic modes, but whereas the ratio of large to small steps in 13edt is a calm 2:1, in 17edt it is a hard 3:1. Thus, the approximation of 5/3 and 7/3 suffers slightly in return for gaining a good approximation of 11/9 (given the context of the weak 5/3 and 7/3), which is in fact the size of the large step. However, by the coincidence of the 11-limit commas 17edt tempers out, 5/3 and 11/9 are off by practically the same amount in opposite directions (+10.7 cents and -11.8 cents), leading to an excellent approximation of 55/27 (only 1.1 cents flat), as are 11/9 and 9/7 (-11.8 cents and +12.4 cents),&lt;br /&gt;
leading to an excellent approximation of 11/7 (only .6 cents flat) and these sum to 605/189-1.7 cents, which is also a 16/5 which is only .3 cents flat (in addition to equaling 256).&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Intervals&lt;/h1&gt;


&lt;table class="wiki_table"&gt;
=Z function=
    &lt;tr&gt;
Below is a plot of the [[The_Riemann_Zeta_Function_and_Tuning#Removing primes|no-twos Z function]] in the vicinity of 17edt.
        &lt;td&gt;degree of 17edt&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;note name&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;cents value&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;cents value octave reduced&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Db = B#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;111.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Eb = C#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;223.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;335.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;447.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F = D#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;559.4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Gb = E#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;671.3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Hb = F#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;783.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;895.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;H&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1006.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Jb = G#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1118.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Ab = H#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1230.7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;30.7&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;J&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1342.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;142.6&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1454.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;254.5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bb = J#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1566.3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;366.3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Cb = A#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1678.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;478.2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1790.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;590.1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1902.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;702.0&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2013.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;813.9&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2125.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;925.8&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2237.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1037.6&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2349.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1149.5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2461.4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;61.4&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2573.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;173.2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2685.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;285.2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2797.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;397.1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2908.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;508.9&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3020.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;620.8&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3132.7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;732.7&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3244.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;844.6&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3356.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;956.5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3468.3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1068.3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3580.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1180.2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3692.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;92.1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3804.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;204.0&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
[[File:17edt.png|alt=17edt.png|17edt.png]]      [[Category:edt]]
&lt;ul&gt;&lt;li&gt;Notes named so that C D E F G H J A B C = Lambda mode&lt;/li&gt;&lt;/ul&gt;It's a weird coincidence how the schemes of 17edo and 17edt diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17edo -11.6 cents and 17edt +12.4 cents).&lt;br /&gt;
[[Category:tritave]]
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Z function"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Z function&lt;/h1&gt;
Below is a plot of the &lt;a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Removing%20primes"&gt;no-twos Z function&lt;/a&gt; in the vicinity of 17edt.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:380:&amp;lt;img src=&amp;quot;/file/view/17edt.png/250611032/17edt.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17edt.png/250611032/17edt.png" alt="17edt.png" title="17edt.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:380 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/17edt"