Xenharmonic Wiki

List of superparticular intervals: Difference between revisions

← Older editNewer edit →
VisualWikitext
Wikispaces>keenanpepper
**Imported revision 301427182 - Original comment: **
Wikispaces>guest
**Imported revision 309253554 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-02-13 18:59:27 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2012-03-08 19:47:40 UTC</tt>.<br>
: The original revision id was <tt>301427182</tt>.<br>
: The original revision id was <tt>309253554</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 94: Line 94:
|| [[17_16|17/16]] || 104.955 || 17/2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt; || 17th harmonic (octave reduced) ||
|| [[17_16|17/16]] || 104.955 || 17/2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt; || 17th harmonic (octave reduced) ||
|| [[18_17|18/17]] || 98.955 || (2*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/17 || Arabic lute index finger ||
|| [[18_17|18/17]] || 98.955 || (2*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/17 || Arabic lute index finger ||
|| [[34_33|34/33]] || 51.682 || (2*17)/(3*33) ||  ||
|| [[34_33|34/33]] || 51.682 || (2*17)/(3*11) ||  ||
|| [[35_34|35/34]] || 50.184 || (5*7)/(2*17) || septendecimal 1/4-tone ||
|| [[35_34|35/34]] || 50.184 || (5*7)/(2*17) || septendecimal 1/4-tone ||
|| [[51_50|51/50]] || 34.283 || (3*17)/(2*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;) || 17th-partial chroma ||
|| [[51_50|51/50]] || 34.283 || (3*17)/(2*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;) || 17th-partial chroma ||
|| [[52_51|52/51]] || 33.617 || (2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*13)/(3*17) ||  ||
|| [[52_51|52/51]] || 33.617 || (2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*13)/(3*17) ||  ||
|| [[85_84|85/84]] || 20.488 || (5*17)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3*7) ||  ||
|| [[85_84|85/84]] || 20.488 || (5*17)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3*7) ||  ||
|| 120/119 || 14.487 || (2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3*5)/(7*17) ||  ||
|| 136/135 || 12.777 || (2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*17)/(3&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*5) ||  ||
|| 154/153 || 11.278 || (2*7*11)/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17) ||  ||
|| 170/169 || 10.214 || (2*5*17)/13&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt; ||  ||
|| 221/220 || 7.8514 || (13*17)/(2^2*5*11) ||  ||
|| 256/255 || 6.7759 || (2^8)/(3*5*17) || 255th subharmonic ||
|| 273/272 || 6.3532 || (3*7*13)/(2^4*17) ||  ||
|| 289/288 || 6.0008 || 17&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2^5*3^2) ||  ||
|| 375/374 || 4.6228 || (3*5&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;)/(2*11*17) ||  ||
|| 442/441 || 3.9213 || (2*13*17)/(3*7)&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt; ||  ||
|| 561/560 || 3.0887 || (3*11*17)/(2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;*5*7) ||  ||
||||||||~ 19-limit (incomplete) ||
||||||||~ 19-limit (incomplete) ||
|| [[19_18|19/18]] || 93.603 || 19/(2*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;) || undevicesimal semitone ||
|| [[19_18|19/18]] || 93.603 || 19/(2*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;) || undevicesimal semitone ||
Line 931: Line 942:
         &lt;td&gt;51.682&lt;br /&gt;
         &lt;td&gt;51.682&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(2*17)/(3*33)&lt;br /&gt;
         &lt;td&gt;(2*17)/(3*11)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 972: Line 983:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(5*17)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3*7)&lt;br /&gt;
         &lt;td&gt;(5*17)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3*7)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;120/119&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14.487&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3*5)/(7*17)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;136/135&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12.777&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*17)/(3&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*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;154/153&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11.278&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(2*7*11)/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;170/169&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10.214&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(2*5*17)/13&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;221/220&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.8514&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(13*17)/(2^2*5*11)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;256/255&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.7759&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(2^8)/(3*5*17)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;255th subharmonic&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;273/272&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.3532&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(3*7*13)/(2^4*17)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;289/288&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.0008&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2^5*3^2)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;375/374&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4.6228&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(3*5&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;)/(2*11*17)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;442/441&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.9213&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(2*13*17)/(3*7)&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;561/560&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.0887&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(3*11*17)/(2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;*5*7)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"