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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is one possible naming and organization system for intervals of [[Porcupine|porcupine]] temperament. It's based on the porcupine[7] scale, or equivalently on the [[val|val]] &lt;7 11 16|.
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>2012-07-25 23:09:10 UTC</tt>.<br>
: The original revision id was <tt>354850834</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|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|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* ||~ Ratio ||~ No. of Porcupine Generators(~162.7¢) ||~ Comments ||
{| class="wikitable"
||||||||~ Unisons ||~  ||
|-
|| Perfect unison (P1) || 0 || 1/1 || 0 ||   ||
! | Name
|| 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 ||   ||
! | No. of Porcupine Generators(~162.7¢)
|| Minor second (m2) || 162.7 || 12/11~11/10~10/9~35/32 || 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="4" | Unisons
||||||||~ Thirds ||~  ||
! |  
|| Diminished third (d3) || 264.3 || 7/6 || 9 || Also "supermajor second" ||
|-
|| 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
|| 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 ||   ||
| | Augmented unison (A1)
|| Augmented fourth (A4) || 610.3 || 10/7 || -11 || Also "subminor fifth" ||
| | 61.1
||||||||~ Fifths ||~  ||
| | 81/80~36/35~33/32~25/24
|| Diminished fifth (d5) || 589.7 || 7/5 || 11 || Also "supermajor fourth" ||
| | -7
|| Minor fifth (m5) || 650.8 || 16/11 || 4 ||   ||
| | [[Cluster_temperament#porcupine(fish)|And other ratios, of course]]
|| Major fifth (M5) || 711.9 || 3/2 || -3 || Rather than "perfect fifth" ||
|-
|| Augmented fifth (A5) || 773.0 || 11/7 || -10 || Also "subminor sixth" ||
! colspan="4" | Seconds
||||||||~ Sixths ||~  ||
! |  
|| 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 ||
| | Diminished second (d2)
|| Major sixth (M6) || 874.6 || 5/3 || -2 || Coincidentally familiar ||
| | 101.6
|| Augmented sixth (A6) || 935.7 || 12/7 || -9 || Also "subminor seventh" ||
| | 21/20~16/15
||||||||~ Sevenths ||~  ||
| | 8
|| Diminished seventh (d7) || 915.1 || Close to 22/13 || 13 || Also "supermajor sixth" ||
| |  
|| Minor seventh (m7) || 976.2 || 7/4~16/9 || 6 ||   ||
|-
|| Major seventh (M7) || 1037.3 || 9/5~11/6 || -3 ||   ||
| | Minor second (m2)
|| Augmented seventh (A7) || 1098.4 || 15/8 || -8 ||   ||
| | 162.7
||||||||~ Octaves ||~  ||
| | 12/11~11/10~10/9~35/32
|| Diminished octave (d8) || 1138.9 || 21/11~35/18~160/81 || 7 ||   ||
| | 1
|| Perfect octave (P8) || 1200 || 2/1 || 0 ||   ||
| |  
|| Augmented octave (A8) || 1261.1 || 81/40~45/22~33/16~25/12 || -7 ||   ||
|-
``*`` In POTE 11-limit porcupine
| | Major second (M2)
| | 223.8
| | 9/8~8/7
| | -6
| |  
|-
| | Augmented second (A2)
| | 284.9
| | Close to 13/11
| | -13
| | Also "subminor third"
|-
! colspan="4" | Thirds
! |  
|-
| | Diminished third (d3)
| | 264.3
| | 7/6
| | 9
| | Also "supermajor second"
|-
| | Minor third (m3)
| | 325.4
| | 6/5~11/9
| | 2
| | Coincidentally familiar
|-
| | Major third (M3)
| | 386.5
| | 5/4
| | -5
| | Coincidentally familiar
|-
| | Augmented third (A3)
| | 447.6
| | 9/7 (close to 13/10)
| | -12
| | Also "subminor fourth"
|-
! colspan="4" | Fourths
! |  
|-
| | 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
| |  
|-
| | Augmented fourth (A4)
| | 610.3
| | 10/7
| | -11
| | Also "subminor fifth"
|-
! colspan="4" | Fifths
! |  
|-
| | Diminished fifth (d5)
| | 589.7
| | 7/5
| | 11
| | Also "supermajor fourth"
|-
| | Minor fifth (m5)
| | 650.8
| | 16/11
| | 4
| |  
|-
| | Major fifth (M5)
| | 711.9
| | 3/2
| | -3
| | Rather than "perfect fifth"
|-
| | Augmented fifth (A5)
| | 773.0
| | 11/7
| | -10
| | Also "subminor sixth"
|-
! colspan="4" | Sixths
! |  
|-
| | 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
|-
| | Major sixth (M6)
| | 874.6
| | 5/3
| | -2
| | Coincidentally familiar
|-
| | Augmented sixth (A6)
| | 935.7
| | 12/7
| | -9
| | Also "subminor seventh"
|-
! colspan="4" | Sevenths
! |  
|-
| | Diminished seventh (d7)
| | 915.1
| | Close to 22/13
| | 13
| | Also "supermajor sixth"
|-
| | 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
| |  
|-
! colspan="4" | Octaves
! |  
|-
| | Diminished octave (d8)
| | 1138.9
| | 21/11~35/18~160/81
| | 7
| |  
|-
| | Perfect octave (P8)
| | 1200
| | 2/1
| | 0
| |  
|-
| | Augmented octave (A8)
| | 1261.1
| | 81/40~45/22~33/16~25/12
| | -7
| |  
|}
* In POTE 11-limit porcupine


[[image:porcupine_interval_matrix_pote.png]]
[[File:porcupine_interval_matrix_pote.png|alt=porcupine_interval_matrix_pote.png|porcupine_interval_matrix_pote.png]]
[[image:porcupine_interval_matrix_22edo.png]]


See also: [[Porcupine Notation]]</pre></div>
[[File:porcupine_interval_matrix_22edo.png|alt=porcupine_interval_matrix_22edo.png|porcupine_interval_matrix_22edo.png]]
<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;
&lt;br /&gt;
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;
&lt;br /&gt;
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;
&lt;br /&gt;


 
See also: [[Porcupine_Notation|Porcupine Notation]]
&lt;table class="wiki_table"&gt;
    &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;Ratio&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;No. of Porcupine Generators(~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;12/11~11/10~10/9~35/32&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;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:411:&amp;lt;img src=&amp;quot;/file/view/porcupine_interval_matrix_pote.png/354011012/porcupine_interval_matrix_pote.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/porcupine_interval_matrix_pote.png/354011012/porcupine_interval_matrix_pote.png" alt="porcupine_interval_matrix_pote.png" title="porcupine_interval_matrix_pote.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:411 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:412:&amp;lt;img src=&amp;quot;/file/view/porcupine_interval_matrix_22edo.png/354850800/porcupine_interval_matrix_22edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/porcupine_interval_matrix_22edo.png/354850800/porcupine_interval_matrix_22edo.png" alt="porcupine_interval_matrix_22edo.png" title="porcupine_interval_matrix_22edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:412 --&gt;&lt;br /&gt;
&lt;br /&gt;
See also: &lt;a class="wiki_link" href="/Porcupine%20Notation"&gt;Porcupine Notation&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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