Gallery of just intervals: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2010-09-14 15:06:31 UTC</tt>.<br>

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-09-14 15:08:57 UTC</tt>.<br>

: The original revision id was <tt>~~162607941~~</tt>.<br>

: The original revision id was <tt>162608547</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>

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There is much debate as to what "consonance" means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5:3" or "21:16" or what have you.

What follows is a Gallery of Just Intervals in ascending order from 1:1 to 2:1 and beyond (compound intervals being fair game). No such list could possibly be complete (as there are infinite possible ratios), so I ~~(----)~~ seed it with a few important ones while I invite wiki authors to add intervals of interest as they see fit. Any frequency ratio is welcome, including extremely complex ones, as long as the wiki author has some interest in it. I welcome contributions of all sorts to the interval lore: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. As the experience of an interval is deeply personal and depends hugely on experience (listening and ~~composer~~), I particularly recommend that wiki authors sign their names.

What follows is a Gallery of Just Intervals in ascending order from 1:1 to 2:1 and beyond (compound intervals being fair game). No such list could possibly be complete (as there are infinite possible ratios), so I seed it with a few important ones while I invite wiki authors to add intervals of interest as they see fit. Any frequency ratio is welcome, including extremely complex ones, as long as the wiki author has some interest in it. I welcome contributions of all sorts to the interval lore: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. As the experience of an interval is deeply personal and depends hugely on experience (listening and composing), I particularly recommend that wiki authors sign their names.

This page will list links to dedicated pages for each interval. I offer the convention exemplified by 3:2 for the perfect fifth (rather than 2:3 or 3/2 or something else), not because that way is right, but because it is common and it seems helpful to agree for consistency sake. However, the wiki page names will need to be formatted "3_2" because both colons and slashes cannot be part of page names on wikispaces.

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~Andrew Heathwaite, September 14, 2010

----

==Gallery of Just Intervals==

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There is much debate as to what &quot;consonance&quot; means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of &quot;consonance versus dissonance.&quot; Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: &quot;5:3&quot; or &quot;21:16&quot; or what have you.<br />

<br />

What follows is a Gallery of Just Intervals in ascending order from 1:1 to 2:1 and beyond (compound intervals being fair game). No such list could possibly be complete (as there are infinite possible ratios), so I ~~(----)~~ seed it with a few important ones while I invite wiki authors to add intervals of interest as they see fit. Any frequency ratio is welcome, including extremely complex ones, as long as the wiki author has some interest in it. I welcome contributions of all sorts to the interval lore: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. As the experience of an interval is deeply personal and depends hugely on experience (listening and ~~composer~~), I particularly recommend that wiki authors sign their names.<br />

What follows is a Gallery of Just Intervals in ascending order from 1:1 to 2:1 and beyond (compound intervals being fair game). No such list could possibly be complete (as there are infinite possible ratios), so I seed it with a few important ones while I invite wiki authors to add intervals of interest as they see fit. Any frequency ratio is welcome, including extremely complex ones, as long as the wiki author has some interest in it. I welcome contributions of all sorts to the interval lore: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. As the experience of an interval is deeply personal and depends hugely on experience (listening and composing), I particularly recommend that wiki authors sign their names.<br />

<br />

This page will list links to dedicated pages for each interval. I offer the convention exemplified by 3:2 for the perfect fifth (rather than 2:3 or 3/2 or something else), not because that way is right, but because it is common and it seems helpful to agree for consistency sake. However, the wiki page names will need to be formatted &quot;3_2&quot; because both colons and slashes cannot be part of page names on wikispaces.<br />

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<br />

~Andrew Heathwaite, September 14, 2010<br />

<br />

<hr />

<br />

<h2 id="toc1"><a name="x-Gallery of Just Intervals"></a>Gallery of Just Intervals</h2>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2010-09-14 15:06:31 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-09-14 15:08:57 UTC</tt>.<br>
-: The original revision id was <tt>162607941</tt>.<br>
+: The original revision id was <tt>162608547</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>
@@ Line 12: / Line 12: @@
 There is much debate as to what "consonance" means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5:3" or "21:16" or what have you.
-What follows is a Gallery of Just Intervals in ascending order from 1:1 to 2:1 and beyond (compound intervals being fair game). No such list could possibly be complete (as there are infinite possible ratios), so I (----) seed it with a few important ones while I invite wiki authors to add intervals of interest as they see fit. Any frequency ratio is welcome, including extremely complex ones, as long as the wiki author has some interest in it. I welcome contributions of all sorts to the interval lore: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. As the experience of an interval is deeply personal and depends hugely on experience (listening and composer), I particularly recommend that wiki authors sign their names.
+What follows is a Gallery of Just Intervals in ascending order from 1:1 to 2:1 and beyond (compound intervals being fair game). No such list could possibly be complete (as there are infinite possible ratios), so I seed it with a few important ones while I invite wiki authors to add intervals of interest as they see fit. Any frequency ratio is welcome, including extremely complex ones, as long as the wiki author has some interest in it. I welcome contributions of all sorts to the interval lore: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. As the experience of an interval is deeply personal and depends hugely on experience (listening and composing), I particularly recommend that wiki authors sign their names.
 This page will list links to dedicated pages for each interval. I offer the convention exemplified by 3:2 for the perfect fifth (rather than 2:3 or 3/2 or something else), not because that way is right, but because it is common and it seems helpful to agree for consistency sake. However, the wiki page names will need to be formatted "3_2" because both colons and slashes cannot be part of page names on wikispaces.
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 ~Andrew Heathwaite, September 14, 2010
+----
 ==Gallery of Just Intervals==
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 There is much debate as to what &amp;quot;consonance&amp;quot; means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of &amp;quot;consonance versus dissonance.&amp;quot; Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: &amp;quot;5:3&amp;quot; or &amp;quot;21:16&amp;quot; or what have you.&lt;br /&gt;
 &lt;br /&gt;
-What follows is a Gallery of Just Intervals in ascending order from 1:1 to 2:1 and beyond (compound intervals being fair game). No such list could possibly be complete (as there are infinite possible ratios), so I (----) seed it with a few important ones while I invite wiki authors to add intervals of interest as they see fit. Any frequency ratio is welcome, including extremely complex ones, as long as the wiki author has some interest in it. I welcome contributions of all sorts to the interval lore: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. As the experience of an interval is deeply personal and depends hugely on experience (listening and composer), I particularly recommend that wiki authors sign their names.&lt;br /&gt;
+What follows is a Gallery of Just Intervals in ascending order from 1:1 to 2:1 and beyond (compound intervals being fair game). No such list could possibly be complete (as there are infinite possible ratios), so I seed it with a few important ones while I invite wiki authors to add intervals of interest as they see fit. Any frequency ratio is welcome, including extremely complex ones, as long as the wiki author has some interest in it. I welcome contributions of all sorts to the interval lore: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. As the experience of an interval is deeply personal and depends hugely on experience (listening and composing), I particularly recommend that wiki authors sign their names.&lt;br /&gt;
 &lt;br /&gt;
 This page will list links to dedicated pages for each interval. I offer the convention exemplified by 3:2 for the perfect fifth (rather than 2:3 or 3/2 or something else), not because that way is right, but because it is common and it seems helpful to agree for consistency sake. However, the wiki page names will need to be formatted &amp;quot;3_2&amp;quot; because both colons and slashes cannot be part of page names on wikispaces.&lt;br /&gt;
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 &lt;br /&gt;
 ~Andrew Heathwaite, September 14, 2010&lt;br /&gt;
+&lt;br /&gt;
+&lt;br /&gt;
+&lt;hr /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Gallery of Just Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Gallery of Just Intervals&lt;/h2&gt;