Mathematics of MOS: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:kraiggrady|kraiggrady]] and made on <tt>2013-09-30 02:43:32 UTC</tt>.

: This revision was by author [[User:kraiggrady|kraiggrady]] and made on <tt>2013-09-30 02:47:10 UTC</tt>.

: The original revision id was <tt>~~455293488~~</tt>.

: The original revision id was <tt>455293992</tt>.

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

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2. A generator "g" (of any size, for example 700 cents in 12 equal temperament) which is added repeatedly to make a chain of scale steps, starting from the unison or 0 cents scale step, and then reducing to within the period

3. No more than two sizes of scale steps (Large and small, often written "L" and "s")

4. Where //each// number of scale steps, or generic interval, within the scale occurs in no more than two different sizes, and in exactly two if the interval is not a multiple of the period

4. Where //each// number of scale steps, or generic interval, within the scale occurs in no more than two different sizes, and in exactly two if the interval is not a multiple of the period except in such cases as an ET.

5. The unison or starting point of the scale is then allowed to be transferred to any scale degree--all the modes of an MOS are legal.

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2. A generator &quot;g&quot; (of any size, for example 700 cents in 12 equal temperament) which is added repeatedly to make a chain of scale steps, starting from the unison or 0 cents scale step, and then reducing to within the period

3. No more than two sizes of scale steps (Large and small, often written &quot;L&quot; and &quot;s&quot;)

4. Where each number of scale steps, or generic interval, within the scale occurs in no more than two different sizes, and in exactly two if the interval is not a multiple of the period

4. Where each number of scale steps, or generic interval, within the scale occurs in no more than two different sizes, and in exactly two if the interval is not a multiple of the period except in such cases as an ET.

5. The unison or starting point of the scale is then allowed to be transferred to any scale degree--all the modes of an MOS are legal.

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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:kraiggrady|kraiggrady]] and made on <tt>2013-09-30 02:43:32 UTC</tt>.<br>
+: This revision was by author [[User:kraiggrady|kraiggrady]] and made on <tt>2013-09-30 02:47:10 UTC</tt>.<br>
-: The original revision id was <tt>455293488</tt>.<br>
+: The original revision id was <tt>455293992</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: @@
 . A generator "g" (of any size, for example 700 cents in 12 equal temperament) which is added repeatedly to make a chain of scale steps, starting from the unison or 0 cents scale step, and then reducing to within the period
 . No more than two sizes of scale steps (Large and small, often written "L" and "s")
-. Where //each// number of scale steps, or generic interval, within the scale occurs in no more than two different sizes, and in exactly two if the interval is not a multiple of the period
+. Where //each// number of scale steps, or generic interval, within the scale occurs in no more than two different sizes, and in exactly two if the interval is not a multiple of the period except in such cases as an ET.
 . The unison or starting point of the scale is then allowed to be transferred to any scale degree--all the modes of an MOS are legal.
@@ Line 241: / Line 241: @@
 . A generator &amp;quot;g&amp;quot; (of any size, for example 700 cents in 12 equal temperament) which is added repeatedly to make a chain of scale steps, starting from the unison or 0 cents scale step, and then reducing to within the period&lt;br /&gt;
 . No more than two sizes of scale steps (Large and small, often written &amp;quot;L&amp;quot; and &amp;quot;s&amp;quot;)&lt;br /&gt;
-. Where &lt;em&gt;each&lt;/em&gt; number of scale steps, or generic interval, within the scale occurs in no more than two different sizes, and in exactly two if the interval is not a multiple of the period&lt;br /&gt;
+. Where &lt;em&gt;each&lt;/em&gt; number of scale steps, or generic interval, within the scale occurs in no more than two different sizes, and in exactly two if the interval is not a multiple of the period except in such cases as an ET.&lt;br /&gt;
 . The unison or starting point of the scale is then allowed to be transferred to any scale degree--all the modes of an MOS are legal.&lt;br /&gt;
 &lt;br /&gt;