Porcupine intervals: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
These are the intervals found in porcupine temperament.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-07-19 14:42:20 UTC</tt>.<br>
: The original revision id was <tt>353982584</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">This is one possible naming and organization system for intervals of [[porcupine]] temperament. It's based on the porcupine[7] scale, or equivalently on the [[val]] &lt;7 11 16|.


In [[22edo]], all the neighboring intervals on this chart that are shown as about 20 cents apart are actually the same. For example, the augmented third (9/7) and the diminished fourth (14/11) are both the same interval (8\22) in 22edo. This corresponds to 99/98 being tempered out in 22edo.
In [[22edo]], all the neighboring intervals on this chart that are shown as about 20 cents apart are actually the same. For example, the augmented third (9/7) and the diminished fourth (14/11) are both the same interval (8\22) in 22edo. This corresponds to 99/98 being tempered out in 22edo.


In [[15edo]], on the other hand, the intervals that are shown as about 40 cents apart are actually the same. For example, the augmented third (9/7), is now the same as a **minor** fourth (4/3) rather than a diminished one. That is because 28/27 is tempered out in 15edo.
In [[15edo]], on the other hand, the intervals that are shown as about 40 cents apart are actually the same. For example, the augmented third (9/7), is now the same as a '''minor''' fourth (4/3) rather than a diminished one. That is because 28/27 is tempered out in 15edo.


||~ Name ||~ Size* ||~ Ratios ||~ # of Porcupine Generators
{| class="wikitable right-3 center-5"
(~162.7¢) ||~ Comments ||
|-
||||||||~ Unisons ||~  ||
! Name ([[Pergen|ups and downs]])
|| Perfect unison (P1) || 0 || 1/1 || 0 ||   ||
! Name (1L 6s (onyx))
|| Augmented unison (A1) || 61.1 || 81/80~36/35~33/32~25/24 || -7 || [[Cluster temperament#porcupine%28fish%29|And other ratios, of course]] ||
! Size*
||||||||~ Seconds ||~  ||
! Ratio
|| Diminished second (d2) || 101.6 || 21/20~16/15 || 8 ||   ||
! [[Fifthspan #Rank-2 temperaments|Genspan]]
|| Minor second (m2) || 162.7 || 12/11~11/10~10/9 || 1 ||   ||
! Comments
|| Major second (M2) || 223.8 || 9/8~8/7 || -6 ||   ||
|-
|| Augmented second (A2) || 284.9 || Close to 13/11 || -13 || Also "subminor third" ||
! colspan="6" | Unisons
||||||||~ Thirds ||~  ||
|-
|| Diminished third (d3) || 264.3 || 7/6 || 9 || Also "supermajor second" ||
| Perfect unison (P1)
|| Minor third (m3) || 325.4 || 6/5~11/9 || 2 || Coincidentally familiar ||
| Perfect unison (P1)
|| Major third (M3) || 386.5 || 5/4 || -5 || Coincidentally familiar ||
| 0.0
|| Augmented third (A3) || 447.6 || 9/7 (close to 13/10) || -12 || Also "subminor fourth" ||
| 1/1
||||||||~ Fourths ||~  ||
| 0
|| Diminished fourth (d4) || 427.0 || 14/11 || 10 || Also "supermajor third" ||
|  
|| Minor fourth (m4) || 488.1 || 4/3 || 3 || Rather than "perfect fourth" ||
|-
|| Major fourth (M4) || 549.2 || 11/8 || -4 ||   ||
| Up unison (^1)
|| Augmented fourth (A4) || 610.3 || 10/7 || -11 || Also "subminor fifth" ||
| Augmented unison (A1)
||||||||~ Fifths ||~  ||
| 61.1
|| Diminished fifth (d5) || 589.7 || 7/5 || 11 || Also "supermajor fourth" ||
| 81/80~36/35~33/32~25/24
|| Minor fifth (m5) || 650.8 || 16/11 || 4 ||   ||
| -7
|| Major fifth (M5) || 711.9 || 3/2 || -3 || Rather than "perfect fifth" ||
| [[Cluster temperament #porcupine(fish)|Among other ratios]]
|| Augmented fifth (A5) || 773.0 || 11/7 || -10 || Also "subminor sixth" ||
|-
||||||||~ Sixths ||~  ||
! colspan="6" | Seconds
|| Diminished sixth (d6) || 752.4 || 14/9 (close to 20/13) || 12 || Also "supermajor fifth" ||
|-
|| Minor sixth (m6) || 813.5 || 8/5 || 5 || Coincidentally familiar ||
| Upminor second (^m2)
|| Major sixth (M6) || 874.6 || 5/3 || -2 || Coincidentally familiar ||
| Diminished second (d2)
|| Augmented sixth (A6) || 935.7 || 12/7 || -9 || Also "subminor seventh" ||
| 101.6
||||||||~ Sevenths ||~  ||
| 21/20~16/15
|| Diminished seventh (d7) || 915.1 || Close to 22/13 || 13 || Also "supermajor sixth" ||
| 8
|| Minor seventh (m7) || 976.2 || 7/4~16/9 || 6 ||   ||
|  
|| Major seventh (M7) || 1037.3 || 9/5~11/6 || -3 ||   ||
|-
|| Augmented seventh (A7) || 1098.4 || 15/8 || -8 ||   ||
| Downmajor second (vM2)
||||||||~ Octaves ||~  ||
| Perfect second (P2)
|| Diminished octave (d8) || 1138.9 || 21/11~35/18~160/81 || 7 ||   ||
| 162.7
|| Perfect octave (P8) || 1200 || 2/1 || 0 ||   ||
| 12/11~11/10~10/9~35/32
|| Augmented octave (A8) || 1261.1 || 81/40~45/22~33/16~25/12 || -7 ||   ||
| 1
``*`` In POTE 11-limit porcupine</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Porcupine intervals&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is one possible naming and organization system for intervals of &lt;a class="wiki_link" href="/porcupine"&gt;porcupine&lt;/a&gt; temperament. It's based on the porcupine[7] scale, or equivalently on the &lt;a class="wiki_link" href="/val"&gt;val&lt;/a&gt; &amp;lt;7 11 16|.&lt;br /&gt;
| Major second (M2)
&lt;br /&gt;
| Augmented second (A2)
In &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, all the neighboring intervals on this chart that are shown as about 20 cents apart are actually the same. For example, the augmented third (9/7) and the diminished fourth (14/11) are both the same interval (8\22) in 22edo. This corresponds to 99/98 being tempered out in 22edo.&lt;br /&gt;
| 223.8
&lt;br /&gt;
| 9/8~8/7
In &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt;, on the other hand, the intervals that are shown as about 40 cents apart are actually the same. For example, the augmented third (9/7), is now the same as a &lt;strong&gt;minor&lt;/strong&gt; fourth (4/3) rather than a diminished one. That is because 28/27 is tempered out in 15edo.&lt;br /&gt;
| -6
&lt;br /&gt;
|  
|-
| Upmajor second (^M2)
| Double-augmented second (AA2)
| 284.9
| Close to 13/11
| -13
| Also "subminor third"
|-
! colspan="6" | Thirds
|-
| Minor third (m3)
| Diminished third (d3)
| 264.3
| 7/6
| 9
| Also "supermajor second"
|-
| Upminor third (^m3)
| Minor third (m3)
| 325.4
| 6/5~11/9
| 2
|  
|-
| Downmajor third (vM3)
| Major third (M3)
| 386.5
| 5/4
| -5
|  
|-
| Major third (M3)
| Augmented third (A3)
| 447.6
| 9/7 (close to 13/10)
| -12
| Also "subminor fourth"
|-
! colspan="6" | Fourths
|-
| Down fourth (v4)
| Diminished fourth (d4)
| 427.0
| 14/11
| 10
| Also "supermajor third"
|-
| Perfect fourth (P4)
| Minor fourth (m4)
| 488.1
| 4/3
| 3
|  
|-
| Upfourth (^4)
| Major fourth (M4)
| 549.2
| 11/8
| -4
|  
|-
| Downaugmented fourth (vA4)
| Augmented fourth (A4)
| 610.3
| 10/7
| -11
| Also "subminor fifth"
|-
! colspan="6" | Fifths
|-
| Updiminished fifth (^d5)
| Diminished fifth (d5)
| 589.7
| 7/5
| 11
| Also "supermajor fourth"
|-
| Down fifth (v5)
| Minor fifth (m5)
| 650.8
| 16/11
| 4
|  
|-
| Perfect fifth (P5)
| Major fifth (M5)
| 711.9
| 3/2
| -3
|
|-
| Up fifth (^5)
| Augmented fifth (A5)
| 773.0
| 11/7
| -10
| Also "subminor sixth"
|-
! colspan="6" | Sixths
|-
| Minor sixth (m6)
| Diminished sixth (d6)
| 752.4
| 14/9 (close to 20/13)
| 12
| Also "supermajor fifth"
|-
| Upminor sixth (^m6)
| Minor sixth (m6)
| 813.5
| 8/5
| 5
|  
|-
| Downmajor sixth (vM6)
| Major sixth (M6)
| 874.6
| 5/3
| -2
|  
|-
| Major sixth (M6)
| Augmented sixth (A6)
| 935.7
| 12/7
| -9
| Also "subminor seventh"
|-
! colspan="6" | Sevenths
|-
| Downminor seventh (vm7)
| Double-diminished seventh (dd7)
| 915.1
| Close to 22/13
| 13
| Also "supermajor sixth"
|-
| Minor seventh (m7)
| Diminished seventh (d7)
| 976.2
| 7/4~16/9
| 6
|  
|-
| Upminor seventh (^m7)
| Perfect seventh (P7)
| 1037.3
| 9/5~11/6
| -1
|  
|-
| Downmajor seventh (vM7)
| Augmented seventh (A7)
| 1098.4
| 15/8
| -8
|  
|-
! colspan="6" | Octaves
|-
| Down octave (v8)
| Diminished octave (d8)
| 1138.9
| 21/11~35/18~160/81
| 7
|  
|-
| Perfect octave (P8)
| Perfect octave (P8)
| 1200.0
| 2/1
| 0
|  
|-
| Up octave (^8)
| Augmented octave (A8)
| 1261.1
| 81/40~45/22~33/16~25/12
| -7
|  
|}
* In cents, 11-limit POTE tuning of porcupine, where the generator is ~162..


[[File:porcupine_interval_matrix_pote.png|alt=porcupine_interval_matrix_pote.png|porcupine_interval_matrix_pote.png]]


&lt;table class="wiki_table"&gt;
[[File:porcupine_interval_matrix_22edo.png|alt=porcupine_interval_matrix_22edo.png|porcupine_interval_matrix_22edo.png]]
    &lt;tr&gt;
        &lt;th&gt;Name&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Size*&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Ratios&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;ol&gt;&lt;li&gt;of Porcupine Generators&lt;/li&gt;&lt;/ol&gt;(~162.7¢)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Comments&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th colspan="4"&gt;Unisons&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Perfect unison (P1)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1/1&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;Augmented unison (A1)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;61.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;81/80~36/35~33/32~25/24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Cluster%20temperament#porcupine%28fish%29"&gt;And other ratios, of course&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th colspan="4"&gt;Seconds&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Diminished second (d2)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;101.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21/20~16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;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;Minor second (m2)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;162.7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/11~11/10~10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;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;Major second (M2)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;223.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8~8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-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;Augmented second (A2)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;284.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Close to 13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;subminor third&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th colspan="4"&gt;Thirds&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Diminished third (d3)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;264.3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;supermajor second&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Minor third (m3)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;325.4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5~11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Coincidentally familiar&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Major third (M3)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;386.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Coincidentally familiar&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Augmented third (A3)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;447.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/7 (close to 13/10)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;subminor fourth&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th colspan="4"&gt;Fourths&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Diminished fourth (d4)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;427.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;supermajor third&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Minor fourth (m4)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;488.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Rather than &amp;quot;perfect fourth&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Major fourth (M4)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;549.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-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;Augmented fourth (A4)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;610.3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;subminor fifth&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th colspan="4"&gt;Fifths&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Diminished fifth (d5)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;589.7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;supermajor fourth&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Minor fifth (m5)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;650.8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;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;Major fifth (M5)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Rather than &amp;quot;perfect fifth&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Augmented fifth (A5)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;773.0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;subminor sixth&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th colspan="4"&gt;Sixths&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Diminished sixth (d6)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;752.4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/9 (close to 20/13)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;supermajor fifth&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Minor sixth (m6)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;813.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Coincidentally familiar&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Major sixth (M6)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;874.6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Coincidentally familiar&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Augmented sixth (A6)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;935.7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;subminor seventh&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th colspan="4"&gt;Sevenths&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Diminished seventh (d7)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;915.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Close to 22/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Also &amp;quot;supermajor sixth&amp;quot;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Minor seventh (m7)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;976.2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4~16/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;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;Major seventh (M7)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1037.3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/5~11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-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;Augmented seventh (A7)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1098.4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th colspan="4"&gt;Octaves&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Diminished octave (d8)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1138.9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21/11~35/18~160/81&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;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;Perfect octave (P8)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1200&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2/1&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;Augmented octave (A8)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1261.1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;81/40~45/22~33/16~25/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;!-- ws:start:WikiTextRawRule:00:``*`` --&gt;*&lt;!-- ws:end:WikiTextRawRule:00 --&gt; In POTE 11-limit porcupine&lt;/body&gt;&lt;/html&gt;</pre></div>
== See also ==
* [[Porcupine notation]]
 
[[Category:Porcupine]]
[[Category:Todo:cleanup]]