Frequency ratio: Difference between revisions
Wikispaces>xenwolf **Imported revision 400714074 - Original comment: some typography, some links** |
Wikispaces>Omegatron **Imported revision 518470200 - Original comment: can't find any explanation for this notation** |
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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: | : This revision was by author [[User:Omegatron|Omegatron]] and made on <tt>2014-08-13 20:29:26 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>518470200</tt>.<br> | ||
: The revision comment was: <tt> | : The revision comment was: <tt>can't find any explanation for this notation</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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<span class="wiki_link_ext">The [[http://en.wikipedia.org/wiki/Harmonic_series_%28music%29|harmonic series]] can be represented as a ratio - 1:2:3:4:5:6:7:8:9:10:11:12:13:14:15:16:17... etc.</span> | <span class="wiki_link_ext">The [[http://en.wikipedia.org/wiki/Harmonic_series_%28music%29|harmonic series]] can be represented as a ratio - 1:2:3:4:5:6:7:8:9:10:11:12:13:14:15:16:17... etc.</span> | ||
Chords can also be expressed as ratios. For example, the just intoned major chord in root position is 4:5:6. (When chords are expressed as ratios, the above rule about the notes being above or below a base tone doesn't usually apply). | Chords can also be expressed as ratios. For example, the just intoned major chord in root position is 4:5:6. (When chords are expressed as ratios, the above rule about the notes being above or below a base tone doesn't usually apply). Chords can also be written as a string of intervals, such as the major chord 1/1–5/4–3/2 | ||
In the context of just intonation, ratios are almost always used to label and identify intervals and chords. However, the use of ratios to identify intervals and chords in tempered scales is also common - in these cases, it is implied that the notes are in the //approximate// ratio indicated. For example, a common shorthand expression might be //"4:6:7:9:11 chords in [[17edo|17-EDO]]"// - which really means //"The [[chords]] in which the notes are in the approximate ratio of 4:6:7:9:11 in 17-EDO".//</pre></div> | In the context of just intonation, ratios are almost always used to label and identify intervals and chords. However, the use of ratios to identify intervals and chords in tempered scales is also common - in these cases, it is implied that the notes are in the //approximate// ratio indicated. For example, a common shorthand expression might be //"4:6:7:9:11 chords in [[17edo|17-EDO]]"// - which really means //"The [[chords]] in which the notes are in the approximate ratio of 4:6:7:9:11 in 17-EDO".//</pre></div> | ||
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<span class="wiki_link_ext">The <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Harmonic_series_%28music%29" rel="nofollow">harmonic series</a> can be represented as a ratio - 1:2:3:4:5:6:7:8:9:10:11:12:13:14:15:16:17... etc.</span><br /> | <span class="wiki_link_ext">The <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Harmonic_series_%28music%29" rel="nofollow">harmonic series</a> can be represented as a ratio - 1:2:3:4:5:6:7:8:9:10:11:12:13:14:15:16:17... etc.</span><br /> | ||
<br /> | <br /> | ||
Chords can also be expressed as ratios. For example, the just intoned major chord in root position is 4:5:6. (When chords are expressed as ratios, the above rule about the notes being above or below a base tone doesn't usually apply).<br /> | Chords can also be expressed as ratios. For example, the just intoned major chord in root position is 4:5:6. (When chords are expressed as ratios, the above rule about the notes being above or below a base tone doesn't usually apply). Chords can also be written as a string of intervals, such as the major chord 1/1–5/4–3/2<br /> | ||
<br /> | <br /> | ||
In the context of just intonation, ratios are almost always used to label and identify intervals and chords. However, the use of ratios to identify intervals and chords in tempered scales is also common - in these cases, it is implied that the notes are in the <em>approximate</em> ratio indicated. For example, a common shorthand expression might be <em>&quot;4:6:7:9:11 chords in <a class="wiki_link" href="/17edo">17-EDO</a>&quot;</em> - which really means <em>&quot;The <a class="wiki_link" href="/chords">chords</a> in which the notes are in the approximate ratio of 4:6:7:9:11 in 17-EDO&quot;.</em></body></html></pre></div> | In the context of just intonation, ratios are almost always used to label and identify intervals and chords. However, the use of ratios to identify intervals and chords in tempered scales is also common - in these cases, it is implied that the notes are in the <em>approximate</em> ratio indicated. For example, a common shorthand expression might be <em>&quot;4:6:7:9:11 chords in <a class="wiki_link" href="/17edo">17-EDO</a>&quot;</em> - which really means <em>&quot;The <a class="wiki_link" href="/chords">chords</a> in which the notes are in the approximate ratio of 4:6:7:9:11 in 17-EDO&quot;.</em></body></html></pre></div> | ||