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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
There are infinite possible intervals (both tempered and just), even within a single [[2/1|octave]]. It can be helpful to group these intervals into a finite number of '''interval regions''' or '''interval categories'''.  
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>2012-03-22 10:04:32 UTC</tt>.<br>
: The original revision id was <tt>313564534</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">It is well-known that there are infinite possible intervals, even if one confines one's view to a single octave. This includes the rational intervals of [[Just Intonation]] and the irrational intervals of [[EDO]]s, [[EDONOI]]s, and other systems. However, it is helpful to consider interval categories, which there may be a finite number to consider.


==The Schulter System==  
== Concrete regions vs abstract categories ==
An ''interval region'' usually implies it is concrete, defined by concrete boundaries of interval sizes. The boundaries are usually fuzzy to allow some vagueness, in line with how we perceive them. Which region an interval falls into solely depends on the interval's size.


[[Margo Schulter]] describes her system for categorizing intervals in [[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt|Regions of the Interval Spectrum]], which begins:
An ''interval category'' is usually meant to be abstract. It uses some [[mapping]] to determine which category an interval falls into, short-circuiting the question of where exactly to place the boundaries. It also takes account of an interval's [[prime factorization|prime components]], allowing us to find a composite interval's category through [[interval arithmetic]].


//"In naming categories of intervals, or regions of the spectrum in which they are found, there may be many valid and desirable schemes reflecting the diversity of viewpoints and styles to be found in world musics. What I describe here is merely one possible solution, and one influenced by my own musicmaking experience and philosophy which seeks an equitable and inclusive balance between intervals at or near simple integer ratios, and those having a more complex or active nature."//
The [[5L 2s|diatonic]] interval category system commonly used to categorize JI intervals consists of a [[interval quality|quality]] and a diatonic scale degree.  


Schulter proposes the following categories and gives a tentative range of cents values for intervals that fall within those categories. In //Regions//, she points out, "A main caution is that the borders are inevitably 'fuzzy,' so that one region shades into another and suggested values in cents are more illustrative than definitive."
== Extended-diatonic interval names ==
{{Main|Extended-diatonic interval names}}
Many interval naming systems extend the diatonic interval names by adding new [[interval qualities]] to the usual set. While some systems preserve the fifth-based structure entirely, other systems define regions based on the proximity to the intervals associated with the diatonic intervals, which are then divided into finer subregions.


== Latitude ==
When describing interval regions in terms of size relative to a (possibly tempered) fifth, it leads to the system of [[Latitude|latitude and medial intervals]].


||~ Interval Category ||~ Associated Ranges of Cents Values (borders are "fuzzy") ||
== Schulter system ==
|| [[Unison|Pure Unison]] (1:1) || 0 ||
[[Margo Schulter]] describes her system for categorizing intervals in ''[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum]'', which begins:
|| [[Comma]]s || 0-30 ||
|| [[Diesis|Dieses]] || 30-60 ||
|| [[Minor Second]]s || 60-125 ||
|| *small || 60-80 ||
|| *middle || 80-100 ||
|| *large || 100-125 ||
|| [[Neutral Second]]s || 125-170 ||
|| *small || 125-135 ||
|| *middle || 135-160 ||
|| *large || 160-170 ||
|| Equable Heptatonic || 160-182 ||
|| [[Major Second]]s || 180-240 ||
|| *small || 180-200 ||
|| *middle || 200-220 ||
|| *large || 220-240 ||
|| [[Interseptimal]] (Maj2-min3) || 240-260 ||
|| [[Minor Third]]s || 260-330 ||
|| *small || 260-280 ||
|| *middle || 280-300 ||
|| *large || 300-330 ||
|| [[Neutral Third]]s || 330-372 ||
|| *small || 330-342 ||
|| *middle || 342-360 ||
|| *large || 360-372 ||
|| [[Major Third]]s || 372-440 ||
|| *small || 372-400 ||
|| *middle || 400-423 ||
|| *large || 423-440 ||
|| Interseptimal (Maj3-4) || 440-468 ||
|| [[Perfect Fourth]]s || 468-528 ||
|| *small || 468-491 ||
|| *middle || 491-505 ||
|| *large || 505-528 ||
|| [[Superfourth]]s || 528-560 ||
|| [[Tritone|Tritonic Region]] || 560-640 ||
|| *small || 560-577 ||
|| *middle || 577-623 ||
|| *large || 623-640 ||
|| [[Subfifth]]s || 640-672 ||
|| [[Perfect Fifth]]s || 672-732 ||
|| *small || 672-695 ||
|| *middle || 695-709 ||
|| *large || 709-732 ||
|| Interseptimal (5-min6) || 732-760 ||
|| [[Minor Sixth]]s || 760-828 ||
|| *small || 760-777 ||
|| *middle || 777-800 ||
|| *large || 800-828 ||
|| [[Neutral Sixth]]s || 828-870 ||
|| *small || 828-840 ||
|| *middle || 840-858 ||
|| *large || 858-870 ||
|| [[Major Sixth]]s || 870-940 ||
|| *small || 870-900 ||
|| *middle || 900-920 ||
|| *large || 920-940 ||
|| Interseptimal (Maj6-min7) || 940-960 ||
|| [[Minor Seventh]]s || 960-1025 ||
|| *small || 960-987 ||
|| *middle || 987-1000 ||
|| *large || 1000-1025 ||
|| Equable Heptatonic || 1018-1040 ||
|| [[Neutral Seventh]]s || 1030-1075 ||
|| *small || 1030-1043 ||
|| *middle || 1043-1065 ||
|| *large || 1065-1075 ||
|| [[Major Seventh]]s || 1075-1140 ||
|| *small || 1075-1100 ||
|| *middle || 1100-1120 ||
|| *large || 1120-1140 ||
|| Octave less diesis || 1140-1170 ||
|| Octave less comma || 1170-1200 ||
|| [[Octave|Pure Octave]] (2:1) || 1200 ||


See: [[interval size measure]], [[Gallery of Just Intervals]]
: In naming categories of intervals, or regions of the spectrum in which they are found, there may be many valid and desirable schemes reflecting the diversity of viewpoints and styles to be found in world musics. What I describe here is merely one possible solution, and one influenced by my own musicmaking experience and philosophy which seeks an equitable and inclusive balance between intervals at or near simple integer ratios, and those having a more complex or active nature.


[[code]]
Schulter proposes the following categories and gives a tentative range of cents values for intervals that fall within those categories. In ''Regions'', she points out, "A main caution is that the borders are inevitably 'fuzzy,' so that one region shades into another and suggested values in cents are more illustrative than definitive."
Pure unison (1:1)          0 cents


{| class="wikitable"
|-
! | Interval Category
! | Approx. Cents Ranges
! colspan="2" |sub-category
|-
| | [[Unison|Pure Unison]] (1:1)
| | 0
|
|
|-
| | [[Comma]]s
| | 0-30
|
|
|-
| | [[Diesis|Dieses]]
| | 30-60
|
|
|-
|  rowspan="3"| [[Minor second|Minor Second]]s
|  rowspan="3"| 60-125
|small
|60-80
|-
|middle
|80-100
|-
|large
|100-125
|-
|  rowspan="3"|[[Neutral second|Neutral Second]]s
|  rowspan="3"| 125-170
|small
|125-135
|-
|middle
|135-160
|-
|large
|160-170
|-
| |[[Equable heptatonic|Equable Heptatonic]]
| | 160-182
|
|
|-
|  rowspan="3"|[[Major second|Major Second]]s
|  rowspan="3"| 180-240
|small
|180-200
|-
|middle
|200-220
|-
|large
|220-240
|-
| |[[Interseptimal interval|Interseptimal]] (Maj2-min3)
| | 240-260
|
|
|-
|  rowspan="3"|[[Minor third|Minor Third]]s
|  rowspan="3"| 260-330
|small
|260-280
|-
|middle
|280-300
|-
|large
|300-330
|-
|  rowspan="3"| [[Neutral third|Neutral Third]]s
|  rowspan="3"| 330-372
|small
|330-342
|-
|middle
|342-360
|-
|large
|360-372
|-
|  rowspan="3"|[[Major third|Major Third]]s
|  rowspan="3"| 372-440
|small
|372-400
|-
|middle
|400-423
|-
|large
|423-440
|-
| |[[Interseptimal interval|Interseptimal]] (Maj3-4)
| | 440-468
|
|
|-
|  rowspan="3"|[[Perfect fourth|Perfect Fourth]]s
|  rowspan="3"| 468-528
|small
|468-491
|-
|middle
|491-505
|-
|large
|505-528
|-
| |[[Superfourth]]s
| | 528-560
|
|
|-
|  rowspan="3"|[[Tritone|Tritonic Region]]
|  rowspan="3"| 560-640
|small
|560-577
|-
|middle
|577-623
|-
|large
|623-640
|-
| |[[Subfifth]]s
| | 640-672
|
|
|-
|  rowspan="3"|[[Perfect fifth|Perfect Fifth]]s
|  rowspan="3"| 672-732
|small
|672-695
|-
|middle
|695-709
|-
|large
|709-732
|-
| | [[Interseptimal interval|Interseptimal]] (5-min6)
| | 732-760
|
|
|-
|  rowspan="3"|[[Minor sixth|Minor Sixth]]s
|  rowspan="3"| 760-828
|small
|760-777
|-
|middle
|777-800
|-
|large
|800-828
|-
|  rowspan="3"|[[Neutral sixth|Neutral Sixth]]s
|  rowspan="3"| 828-870
|small
|828-840
|-
|middle
|840-858
|-
|large
|858-870
|-
|  rowspan="3"|[[Major sixth|Major Sixth]]s
|  rowspan="3"| 870-940
|small
|870-900
|-
|middle
|900-920
|-
|large
|920-940
|-
| | [[Interseptimal interval|Interseptimal]] (Maj6-min7)
| | 940-960
|
|
|-
|  rowspan="3"|[[Minor seventh|Minor Seventh]]s
|  rowspan="3"| 960-1025
|small
|960-987
|-
|middle
|987-1000
|-
|large
|1000-1025
|-
| | [[Equable heptatonic|Equable Heptatonic]]
| | 1018-1040
|
|
|-
|  rowspan="3"|[[Neutral seventh|Neutral Seventh]]s
|  rowspan="3"| 1030-1075
|small
|1030-1043
|-
|middle
|1043-1065
|-
|large
|1065-1075
|-
|  rowspan="3"| [[Major seventh|Major Seventh]]s
|  rowspan="3"| 1075-1140
|small
|1075-1100
|-
|middle
|1100-1120
|-
|large
|1120-1140
|-
| | Octave less diesis
| | 1140-1170
|
|
|-
| | Octave less comma
| | 1170-1200
|
|
|-
| | [[Octave|Pure Octave]] (2:1)
| | 1200
|
|
|}
<pre>Pure unison (1:1)          0 cents
 
Commas                  0-30 cents        (Section 11)
Commas                  0-30 cents        (Section 11)
 
 
Dieses                  30-60 cents        (Section 11)
Dieses                  30-60 cents        (Section 11)
 
 
Minor seconds          60-125 cents        (Section 5)
Minor seconds          60-125 cents        (Section 5)
         small              60-80 cents
         small              60-80 cents
         middle            80-100 cents
         middle            80-100 cents
         large            100-125 cents
         large            100-125 cents
 
 
Neutral seconds      125-170 cents        (Section 6)
Neutral seconds      125-170 cents        (Section 6)
         small              125-135 cents
         small              125-135 cents
         middle            135-160 cents
         middle            135-160 cents
         large              160-170 cents
         large              160-170 cents
 
 
Equable heptatonic
Equable heptatonic
(heartland range)    160-182 cents        (Section 12)
(heartland range)    160-182 cents        (Section 12)
 
 
Major seconds
Major seconds
(or tones)            180-240 cents        (Section 4)
(or tones)            180-240 cents        (Section 4)
Line 120: Line 288:
         middle            200-220 cents
         middle            200-220 cents
         large              220-240 cents
         large              220-240 cents
 
 
Interseptimal
Interseptimal
(Maj2-min3)          240-260 cents        (Section 9)
(Maj2-min3)          240-260 cents        (Section 9)
 
 
Minor thirds          260-330 cents        (Section 2)
Minor thirds          260-330 cents        (Section 2)
         small              260-280 cents
         small              260-280 cents
         middle            280-300 cents
         middle            280-300 cents
         large              300-330 cents
         large              300-330 cents
 
 
Neutral thirds        330-372 cents        (Section 3)
Neutral thirds        330-372 cents        (Section 3)
         small              330-342 cents
         small              330-342 cents
         middle            342-360 cents
         middle            342-360 cents
         large              360-372 cents
         large              360-372 cents
 
 
Major thirds          372-440 cents        (Section 2)
Major thirds          372-440 cents        (Section 2)
         small              372-400 cents
         small              372-400 cents
         middle            400-423 cents
         middle            400-423 cents
         large              423-440 cents
         large              423-440 cents
 
 
Interseptimal        440-468 cents        (Section 9)
Interseptimal        440-468 cents        (Section 9)
(Maj3-4)
(Maj3-4)
 
 
Perfect fourths      468-528 cents        (Section 7)
Perfect fourths      468-528 cents        (Section 7)
         small              468-491 cents
         small              468-491 cents
         middle            491-505 cents
         middle            491-505 cents
         large              505-523 cents
         large              505-523 cents
 
 
Superfourths          528-560 cents        (Section 10)
Superfourths          528-560 cents        (Section 10)
 
 
Tritonic region      560-640 cents        (Section 8)
Tritonic region      560-640 cents        (Section 8)
         small              560-577 cents
         small              560-577 cents
         middle            577-623 cents
         middle            577-623 cents
         large              623-640 cents
         large              623-640 cents
 
 
Subfifths            640-672 cents        (Section 10)
Subfifths            640-672 cents        (Section 10)
 
 
Perfect fifths        672-732 cents        (Section 7)
Perfect fifths        672-732 cents        (Section 7)
         small              672-695 cents
         small              672-695 cents
         middle            695-709 cents
         middle            695-709 cents
         large              709-732 cents
         large              709-732 cents
 
 
Interseptimal        732-760 cents        (Section 9)
Interseptimal        732-760 cents        (Section 9)
(5-min6)
(5-min6)
 
 
Minor sixths          760-828 cents        (Section 2)
Minor sixths          760-828 cents        (Section 2)
         small              760-777 cents
         small              760-777 cents
         middle            777-800 cents
         middle            777-800 cents
         large              800-828 cents
         large              800-828 cents
 
 
Neutral sixths        828-870 cents        (Section 3)
Neutral sixths        828-870 cents        (Section 3)
         small              828-840 cents
         small              828-840 cents
         middle            840-858 cents
         middle            840-858 cents
         large              858-870 cents
         large              858-870 cents
 
 
Major sixths          870-940 cents        (Section 2)
Major sixths          870-940 cents        (Section 2)
         small              870-900 cents
         small              870-900 cents
         middle            900-920 cents
         middle            900-920 cents
         large              920-940 cents
         large              920-940 cents
 
 
Interseptimal        940-960 cents        (Section 9)
Interseptimal        940-960 cents        (Section 9)
(Maj6-min7)
(Maj6-min7)
 
 
Minor sevenths      960-1025 cents        (Section 4)
Minor sevenths      960-1025 cents        (Section 4)
         small              960-987 cents
         small              960-987 cents
         middle            987-1000 cents
         middle            987-1000 cents
         large            1000-1025 cents
         large            1000-1025 cents
 
 
Equable heptatonic  1018-1040 cents        (Section 12)
Equable heptatonic  1018-1040 cents        (Section 12)
(heartland range)
(heartland range)
 
 
Neutral sevenths    1030-1075 cents        (Section 6)
Neutral sevenths    1030-1075 cents        (Section 6)
         small            1030-1043 cents
         small            1030-1043 cents
         middle          1043-1065 cents
         middle          1043-1065 cents
         large            1065-1075 cents
         large            1065-1075 cents
 
 
Major sevenths      1075-1140 cents        (Section 5)
Major sevenths      1075-1140 cents        (Section 5)
         small            1075-1100 cents
         small            1075-1100 cents
         middle          1100-1120 cents
         middle          1100-1120 cents
         large            1120-1140 cents
         large            1120-1140 cents
 
 
Octave less diesis  1140-1170 cents        (Section 11)
Octave less diesis  1140-1170 cents        (Section 11)
 
 
Octave less comma  1170-1200 cents        (Section 11)
Octave less comma  1170-1200 cents        (Section 11)
 
Pure octave (2:1)        1200 cents</pre>


Pure octave (2:1)        1200 cents
== See also ==
[[code]]</pre></div>
* [[Mike Sheiman's Alternative Interval Categorizations]]
<h4>Original HTML content:</h4>
* [[SKULO interval names]]
<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;interval category&lt;/title&gt;&lt;/head&gt;&lt;body&gt;It is well-known that there are infinite possible intervals, even if one confines one's view to a single octave. This includes the rational intervals of &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt; and the irrational intervals of &lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;s, &lt;a class="wiki_link" href="/EDONOI"&gt;EDONOI&lt;/a&gt;s, and other systems. However, it is helpful to consider interval categories, which there may be a finite number to consider.&lt;br /&gt;
* [[5L 2s/Interval categories]]
&lt;br /&gt;
* [[Supermajor and subminor]]
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-The Schulter System"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;The Schulter System&lt;/h2&gt;
* [[Interval size measure]]
&lt;br /&gt;
* [[Table of MOSes]]
&lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt; describes her system for categorizing intervals in &lt;a class="wiki_link_ext" href="http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt" rel="nofollow"&gt;Regions of the Interval Spectrum&lt;/a&gt;, which begins:&lt;br /&gt;
* [[Gallery of just intervals]]
&lt;br /&gt;
* [[Universal solfege]] - [[solfege]] based on the Schulter system
&lt;em&gt;&amp;quot;In naming categories of intervals, or regions of the spectrum in which they are found, there may be many valid and desirable schemes reflecting the diversity of viewpoints and styles to be found in world musics. What I describe here is merely one possible solution, and one influenced by my own musicmaking experience and philosophy which seeks an equitable and inclusive balance between intervals at or near simple integer ratios, and those having a more complex or active nature.&amp;quot;&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
Schulter proposes the following categories and gives a tentative range of cents values for intervals that fall within those categories. In &lt;em&gt;Regions&lt;/em&gt;, she points out, &amp;quot;A main caution is that the borders are inevitably 'fuzzy,' so that one region shades into another and suggested values in cents are more illustrative than definitive.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Interval Category&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Associated Ranges of Cents Values (borders are &amp;quot;fuzzy&amp;quot;)&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Unison"&gt;Pure Unison&lt;/a&gt; (1:1)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0-30&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Diesis"&gt;Dieses&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;30-60&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Minor%20Second"&gt;Minor Second&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;60-125&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;60-80&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;80-100&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;100-125&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Neutral%20Second"&gt;Neutral Second&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;125-170&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;125-135&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;135-160&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;160-170&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Equable Heptatonic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;160-182&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Major%20Second"&gt;Major Second&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;180-240&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;180-200&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;200-220&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;220-240&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Interseptimal"&gt;Interseptimal&lt;/a&gt; (Maj2-min3)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;240-260&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Minor%20Third"&gt;Minor Third&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;260-330&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;260-280&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;280-300&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;300-330&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Neutral%20Third"&gt;Neutral Third&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;330-372&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;330-342&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;342-360&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;360-372&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Major%20Third"&gt;Major Third&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;372-440&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;372-400&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;400-423&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;423-440&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Interseptimal (Maj3-4)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;440-468&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Perfect%20Fourth"&gt;Perfect Fourth&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;468-528&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;468-491&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;491-505&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;505-528&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Superfourth"&gt;Superfourth&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;528-560&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Tritone"&gt;Tritonic Region&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;560-640&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;560-577&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;577-623&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;623-640&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Subfifth"&gt;Subfifth&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;640-672&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Perfect%20Fifth"&gt;Perfect Fifth&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;672-732&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;672-695&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;695-709&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709-732&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Interseptimal (5-min6)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;732-760&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Minor%20Sixth"&gt;Minor Sixth&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;760-828&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;760-777&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;777-800&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;800-828&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Neutral%20Sixth"&gt;Neutral Sixth&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;828-870&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;828-840&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;840-858&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;858-870&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Major%20Sixth"&gt;Major Sixth&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;870-940&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;870-900&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;900-920&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;920-940&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Interseptimal (Maj6-min7)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;940-960&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Minor%20Seventh"&gt;Minor Seventh&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;960-1025&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;960-987&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;987-1000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1000-1025&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Equable Heptatonic&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1018-1040&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Neutral%20Seventh"&gt;Neutral Seventh&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1030-1075&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1030-1043&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1043-1065&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1065-1075&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Major%20Seventh"&gt;Major Seventh&lt;/a&gt;s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1075-1140&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*small&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1075-1100&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*middle&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1100-1120&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;*large&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1120-1140&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Octave less diesis&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1140-1170&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Octave less comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1170-1200&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Octave"&gt;Pure Octave&lt;/a&gt; (2:1)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1200&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
See: &lt;a class="wiki_link" href="/interval%20size%20measure"&gt;interval size measure&lt;/a&gt;, &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextCodeRule:0:
&amp;lt;pre class=&amp;quot;text&amp;quot;&amp;gt;Pure unison (1:1)          0 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Commas                  0-30 cents        (Section 11)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Dieses                  30-60 cents        (Section 11)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Minor seconds          60-125 cents        (Section 5)&amp;lt;br/&amp;gt;        small              60-80 cents&amp;lt;br/&amp;gt;        middle            80-100 cents&amp;lt;br/&amp;gt;        large            100-125 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Neutral seconds      125-170 cents        (Section 6)&amp;lt;br/&amp;gt;        small              125-135 cents&amp;lt;br/&amp;gt;        middle            135-160 cents&amp;lt;br/&amp;gt;        large              160-170 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Equable heptatonic&amp;lt;br/&amp;gt;(heartland range)    160-182 cents        (Section 12)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Major seconds&amp;lt;br/&amp;gt;(or tones)            180-240 cents        (Section 4)&amp;lt;br/&amp;gt;        small              180-200 cents&amp;lt;br/&amp;gt;        middle            200-220 cents&amp;lt;br/&amp;gt;        large              220-240 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Interseptimal&amp;lt;br/&amp;gt;(Maj2-min3)          240-260 cents        (Section 9)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Minor thirds          260-330 cents        (Section 2)&amp;lt;br/&amp;gt;        small              260-280 cents&amp;lt;br/&amp;gt;        middle            280-300 cents&amp;lt;br/&amp;gt;        large              300-330 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Neutral thirds        330-372 cents        (Section 3)&amp;lt;br/&amp;gt;        small              330-342 cents&amp;lt;br/&amp;gt;        middle            342-360 cents&amp;lt;br/&amp;gt;        large              360-372 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Major thirds          372-440 cents        (Section 2)&amp;lt;br/&amp;gt;        small              372-400 cents&amp;lt;br/&amp;gt;        middle            400-423 cents&amp;lt;br/&amp;gt;        large              423-440 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Interseptimal        440-468 cents        (Section 9)&amp;lt;br/&amp;gt;(Maj3-4)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Perfect fourths      468-528 cents        (Section 7)&amp;lt;br/&amp;gt;        small              468-491 cents&amp;lt;br/&amp;gt;        middle            491-505 cents&amp;lt;br/&amp;gt;        large              505-523 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Superfourths          528-560 cents        (Section 10)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Tritonic region      560-640 cents        (Section 8)&amp;lt;br/&amp;gt;        small              560-577 cents&amp;lt;br/&amp;gt;        middle            577-623 cents&amp;lt;br/&amp;gt;        large              623-640 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Subfifths            640-672 cents        (Section 10)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Perfect fifths        672-732 cents        (Section 7)&amp;lt;br/&amp;gt;        small              672-695 cents&amp;lt;br/&amp;gt;        middle            695-709 cents&amp;lt;br/&amp;gt;        large              709-732 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Interseptimal        732-760 cents        (Section 9)&amp;lt;br/&amp;gt;(5-min6)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Minor sixths          760-828 cents        (Section 2)&amp;lt;br/&amp;gt;        small              760-777 cents&amp;lt;br/&amp;gt;        middle            777-800 cents&amp;lt;br/&amp;gt;        large              800-828 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Neutral sixths        828-870 cents        (Section 3)&amp;lt;br/&amp;gt;        small              828-840 cents&amp;lt;br/&amp;gt;        middle            840-858 cents&amp;lt;br/&amp;gt;        large              858-870 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Major sixths          870-940 cents        (Section 2)&amp;lt;br/&amp;gt;        small              870-900 cents&amp;lt;br/&amp;gt;        middle            900-920 cents&amp;lt;br/&amp;gt;        large              920-940 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Interseptimal        940-960 cents        (Section 9)&amp;lt;br/&amp;gt;(Maj6-min7)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Minor sevenths      960-1025 cents        (Section 4)&amp;lt;br/&amp;gt;        small              960-987 cents&amp;lt;br/&amp;gt;        middle            987-1000 cents&amp;lt;br/&amp;gt;        large            1000-1025 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Equable heptatonic  1018-1040 cents        (Section 12)&amp;lt;br/&amp;gt;(heartland range)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Neutral sevenths    1030-1075 cents        (Section 6)&amp;lt;br/&amp;gt;        small            1030-1043 cents&amp;lt;br/&amp;gt;        middle          1043-1065 cents&amp;lt;br/&amp;gt;        large            1065-1075 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Major sevenths      1075-1140 cents        (Section 5)&amp;lt;br/&amp;gt;        small            1075-1100 cents&amp;lt;br/&amp;gt;        middle          1100-1120 cents&amp;lt;br/&amp;gt;        large            1120-1140 cents&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Octave less diesis  1140-1170 cents        (Section 11)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Octave less comma  1170-1200 cents        (Section 11)&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;Pure octave (2:1)        1200 cents&amp;lt;/pre&amp;gt;
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&lt;/style&gt;&lt;pre class="text"&gt;Pure unison (1:1)          0 cents
&amp;nbsp;
Commas                  0-30 cents        (Section 11)
&amp;nbsp;
Dieses                  30-60 cents        (Section 11)
&amp;nbsp;
Minor seconds          60-125 cents        (Section 5)
        small              60-80 cents
        middle            80-100 cents
        large            100-125 cents
&amp;nbsp;
Neutral seconds      125-170 cents        (Section 6)
        small              125-135 cents
        middle            135-160 cents
        large              160-170 cents
&amp;nbsp;
Equable heptatonic
(heartland range)    160-182 cents        (Section 12)
&amp;nbsp;
Major seconds
(or tones)            180-240 cents        (Section 4)
        small              180-200 cents
        middle            200-220 cents
        large              220-240 cents
&amp;nbsp;
Interseptimal
(Maj2-min3)          240-260 cents        (Section 9)
&amp;nbsp;
Minor thirds          260-330 cents        (Section 2)
        small              260-280 cents
        middle            280-300 cents
        large              300-330 cents
&amp;nbsp;
Neutral thirds        330-372 cents        (Section 3)
        small              330-342 cents
        middle            342-360 cents
        large              360-372 cents
&amp;nbsp;
Major thirds          372-440 cents        (Section 2)
        small              372-400 cents
        middle            400-423 cents
        large              423-440 cents
&amp;nbsp;
Interseptimal        440-468 cents        (Section 9)
(Maj3-4)
&amp;nbsp;
Perfect fourths      468-528 cents        (Section 7)
        small              468-491 cents
        middle            491-505 cents
        large              505-523 cents
&amp;nbsp;
Superfourths          528-560 cents        (Section 10)
&amp;nbsp;
Tritonic region      560-640 cents        (Section 8)
        small              560-577 cents
        middle            577-623 cents
        large              623-640 cents
&amp;nbsp;
Subfifths            640-672 cents        (Section 10)
&amp;nbsp;
Perfect fifths        672-732 cents        (Section 7)
        small              672-695 cents
        middle            695-709 cents
        large              709-732 cents
&amp;nbsp;
Interseptimal        732-760 cents        (Section 9)
(5-min6)
&amp;nbsp;
Minor sixths          760-828 cents        (Section 2)
        small              760-777 cents
        middle            777-800 cents
        large              800-828 cents
&amp;nbsp;
Neutral sixths        828-870 cents        (Section 3)
        small              828-840 cents
        middle            840-858 cents
        large              858-870 cents
&amp;nbsp;
Major sixths          870-940 cents        (Section 2)
        small              870-900 cents
        middle            900-920 cents
        large              920-940 cents
&amp;nbsp;
Interseptimal        940-960 cents        (Section 9)
(Maj6-min7)
&amp;nbsp;
Minor sevenths      960-1025 cents        (Section 4)
        small              960-987 cents
        middle            987-1000 cents
        large            1000-1025 cents
&amp;nbsp;
Equable heptatonic  1018-1040 cents        (Section 12)
(heartland range)
&amp;nbsp;
Neutral sevenths    1030-1075 cents        (Section 6)
        small            1030-1043 cents
        middle          1043-1065 cents
        large            1065-1075 cents
&amp;nbsp;
Major sevenths      1075-1140 cents        (Section 5)
        small            1075-1100 cents
        middle          1100-1120 cents
        large            1120-1140 cents
&amp;nbsp;
Octave less diesis  1140-1170 cents        (Section 11)
&amp;nbsp;
Octave less comma  1170-1200 cents        (Section 11)
&amp;nbsp;
Pure octave (2:1)        1200 cents&lt;/pre&gt;


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[[Category:Interval region| ]] <!-- main article -->
[[Category:Classification]]
[[Category:Distance measure]]
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