Ed4: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 277296152 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 277296388 - Original comment: ** |
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<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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-19 21: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-19 21:34:27 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>277296388</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> | ||
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...taking every other tone yields: | ...taking every other tone yields: | ||
0 240 **480** 720 **960** 1200 **1440** 1680 **1920** 2160 **2400...** | |||
**0 480 960 1440 1920 2400...** | **0 480 960 1440 1920 2400...** | ||
The resultant scale we can call 5ED4. | The resultant scale we can call 5ED4. | ||
This approach yields more useful scales starting with ED2 systems which are larger, where a composer might decide a single degree is too small to be useful. As one example, consider 37ED2 (aka [[37edo]]), which is well known to be an excellent temperament in the 2.5.7.11.13.27 subgroup, but whose single degree, approximately 32.4¢, might be "too small" in some context (eg. guitar frets). Taking every other step of 37ED2 produces [[37ED4]], an equal-stepped scale which repeats at 4/1, the double octave, and has a single step of 64.9¢. | This approach yields more useful scales starting with ED2 systems which are larger, where a composer might decide a single degree is too small to be useful. As one example, consider 37ED2 (aka [[37edo]]), which is well known to be an excellent temperament in the 2.5.7.11.13.27 subgroup, but whose single degree, approximately 32.4¢, might be "too small" in some context (eg. guitar frets). Taking every other step of 37ED2 produces [[37ED4]], an equal-stepped scale which repeats at 4/1, the double octave, and has a single step of 64.9¢. (See also [[65cET]].) | ||
ED4 scales also have the feature that they ascend the pitch continuum twice as fast as ED2 systems. 37 tones of 37ED2 is one octave, while 37 tones of ED4 is 2 octaves. Thus, fewer bars would be needed on a metallophone, fewer keys on a keyboard, etc. | ED4 scales also have the feature that they ascend the pitch continuum twice as fast as ED2 systems. 37 tones of 37ED2 is one octave, while 37 tones of ED4 is 2 octaves. Thus, fewer bars would be needed on a metallophone, fewer keys on a keyboard, etc. | ||
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The resultant scale we can call 5ED4.<br /> | The resultant scale we can call 5ED4.<br /> | ||
<br /> | <br /> | ||
This approach yields more useful scales starting with ED2 systems which are larger, where a composer might decide a single degree is too small to be useful. As one example, consider 37ED2 (aka <a class="wiki_link" href="/37edo">37edo</a>), which is well known to be an excellent temperament in the 2.5.7.11.13.27 subgroup, but whose single degree, approximately 32.4¢, might be &quot;too small&quot; in some context (eg. guitar frets). Taking every other step of 37ED2 produces <a class="wiki_link" href="/37ED4">37ED4</a>, an equal-stepped scale which repeats at 4/1, the double octave, and has a single step of 64.9¢.<br /> | This approach yields more useful scales starting with ED2 systems which are larger, where a composer might decide a single degree is too small to be useful. As one example, consider 37ED2 (aka <a class="wiki_link" href="/37edo">37edo</a>), which is well known to be an excellent temperament in the 2.5.7.11.13.27 subgroup, but whose single degree, approximately 32.4¢, might be &quot;too small&quot; in some context (eg. guitar frets). Taking every other step of 37ED2 produces <a class="wiki_link" href="/37ED4">37ED4</a>, an equal-stepped scale which repeats at 4/1, the double octave, and has a single step of 64.9¢. (See also <a class="wiki_link" href="/65cET">65cET</a>.)<br /> | ||
<br /> | <br /> | ||
ED4 scales also have the feature that they ascend the pitch continuum twice as fast as ED2 systems. 37 tones of 37ED2 is one octave, while 37 tones of ED4 is 2 octaves. Thus, fewer bars would be needed on a metallophone, fewer keys on a keyboard, etc.<br /> | ED4 scales also have the feature that they ascend the pitch continuum twice as fast as ED2 systems. 37 tones of 37ED2 is one octave, while 37 tones of ED4 is 2 octaves. Thus, fewer bars would be needed on a metallophone, fewer keys on a keyboard, etc.<br /> | ||
<br /> | <br /> | ||
See: <a class="wiki_link" href="/Equal%20Temperaments">Equal Temperaments</a></body></html></pre></div> | See: <a class="wiki_link" href="/Equal%20Temperaments">Equal Temperaments</a></body></html></pre></div> | ||