Glossary of scale properties: Difference between revisions
Wikispaces>genewardsmith **Imported revision 314163332 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 314163428 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-03-24 02: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-03-24 02:56:20 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>314163428</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
| Line 33: | Line 33: | ||
**Trivalence Property:** Same as Myhill's property, but replace "two Interval sizes" with "three Interval sizes." If we form a scale from the notes of a Dominant 7th chord, (e.g. C-E-G-Bb-C) this scale has the Trivalence Property. | **Trivalence Property:** Same as Myhill's property, but replace "two Interval sizes" with "three Interval sizes." If we form a scale from the notes of a Dominant 7th chord, (e.g. C-E-G-Bb-C) this scale has the Trivalence Property. | ||
**Symmetrical:** A scale is symmetrical if at least one mode of the scale is symmetrical. Therefore, every interval of that mode must have an inverse. These scales will always have an odd number of notes per __period__. They may not always have an odd number of notes per __octave__, however. The | **Symmetrical:** A scale is symmetrical if at least one mode of the scale is symmetrical. Therefore, every interval of that mode must have an inverse. These scales will always have an odd number of notes per __period__. They may not always have an odd number of notes per __octave__, however. The diatonic scale is symmetrical, but so is 12edo.</pre></div> | ||
<h4>Original HTML content:</h4> | <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"><html><head><title>Scale properties simplified</title></head><body>A simplified explanation of the various properties of periodic scales.<br /> | <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"><html><head><title>Scale properties simplified</title></head><body>A simplified explanation of the various properties of periodic scales.<br /> | ||
| Line 59: | Line 59: | ||
<strong>Trivalence Property:</strong> Same as Myhill's property, but replace &quot;two Interval sizes&quot; with &quot;three Interval sizes.&quot; If we form a scale from the notes of a Dominant 7th chord, (e.g. C-E-G-Bb-C) this scale has the Trivalence Property.<br /> | <strong>Trivalence Property:</strong> Same as Myhill's property, but replace &quot;two Interval sizes&quot; with &quot;three Interval sizes.&quot; If we form a scale from the notes of a Dominant 7th chord, (e.g. C-E-G-Bb-C) this scale has the Trivalence Property.<br /> | ||
<br /> | <br /> | ||
<strong>Symmetrical:</strong> A scale is symmetrical if at least one mode of the scale is symmetrical. Therefore, every interval of that mode must have an inverse. These scales will always have an odd number of notes per <u>period</u>. They may not always have an odd number of notes per <u>octave</u>, however. The | <strong>Symmetrical:</strong> A scale is symmetrical if at least one mode of the scale is symmetrical. Therefore, every interval of that mode must have an inverse. These scales will always have an odd number of notes per <u>period</u>. They may not always have an odd number of notes per <u>octave</u>, however. The diatonic scale is symmetrical, but so is 12edo.</body></html></pre></div> | ||