SeventeenTheory: 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:

: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>~~2006~~-07-~~27 12~~:27:42 UTC</tt>.

: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2008-04-06 03:37:42 UTC</tt>.

: The original revision id was <tt>~~937751~~</tt>.

: The original revision id was <tt>21038807</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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[[image:17fifths]]

The lines across indicate five ~~fifths (~~"minor second") (1/17 of an octave).

The lines across indicate five fourths = "minor second" = 1/17 of an octave. (We know this because 17's perfect fourth is 7/17 of an octave, and 7*5 modulo 17 = 1.)

So if we re-wrap the circle according to these lines, we should get the 17 notes of the scale in ascending/descending order (I moved A to the top just because):

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<img src="/file/view/17fifths/30122064/17fifths" alt="17fifths" title="17fifths" />

The lines across indicate five ~~fifths (~~&quot;minor second&quot;) (1/17 of an octave).

The lines across indicate five fourths = &quot;minor second&quot; = 1/17 of an octave. (We know this because 17's perfect fourth is 7/17 of an octave, and 7*5 modulo 17 = 1.)

So if we re-wrap the circle according to these lines, we should get the 17 notes of the scale in ascending/descending order (I moved A to the top just because):

@@ 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:xenjacob|xenjacob]] and made on <tt>2006-07-27 12:27:42 UTC</tt>.<br>
+: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2008-04-06 03:37:42 UTC</tt>.<br>
-: The original revision id was <tt>937751</tt>.<br>
+: The original revision id was <tt>21038807</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 13: / Line 13: @@
 [[image:17fifths]]
-The lines across indicate five fifths ("minor second") (1/17 of an octave).
+The lines across indicate five fourths = "minor second" = 1/17 of an octave. (We know this because 17's perfect fourth is 7/17 of an octave, and 7*5 modulo 17 = 1.)
 So if we re-wrap the circle according to these lines, we should get the 17 notes of the scale in ascending/descending order (I moved A to the top just because):
@@ Line 35: / Line 35: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextLocalImageRule:0:&amp;lt;img src=&amp;quot;/file/view/17fifths/30122064/17fifths&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17fifths/30122064/17fifths" alt="17fifths" title="17fifths" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:0 --&gt;&lt;br /&gt;
-The lines across indicate five fifths (&amp;quot;minor second&amp;quot;) (1/17 of an octave).&lt;br /&gt;
+The lines across indicate five fourths = &amp;quot;minor second&amp;quot; = 1/17 of an octave. (We know this because 17's perfect fourth is 7/17 of an octave, and 7*5 modulo 17 = 1.)&lt;br /&gt;
 &lt;br /&gt;
 So if we re-wrap the circle according to these lines, we should get the 17 notes of the scale in ascending/descending order (I moved A to the top just because):&lt;br /&gt;