Lumma stability: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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: This revision was by author [[User:clumma|clumma]] and made on <tt>2011-08-13 18:39:46 UTC</tt>.<br>

: This revision was by author [[User:clumma|clumma]] and made on <tt>2011-08-13 18:44:08 UTC</tt>.<br>

: The original revision id was <tt>~~245800563~~</tt>.<br>

: The original revision id was <tt>245800935</tt>.<br>

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

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<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;white-space: pre-wrap ! important" class="old-revision-html">Lumma stability is the portion of a scale's period which is not covered by its interval classes. The "Lumma impropriety factor" is the portion which is more than singly-covered. Scala will report these for any scale via its "show data" command.

Rothenberg assumes a process whereby a listener hears melodic intervals between sounds and sorts them by size. This produces an "interval matrix" (IM) in the listener's mind. The listener continually refines this IM as ~~stimuli~~ arrive, and if a source ~~is consistent for~~ long enough he may remember ~~its IM~~ for later use.

Rothenberg assumes a process whereby a listener hears melodic intervals between sounds and sorts them by size. This produces an "interval matrix" (IM) in the listener's mind. The listener continually refines this IM as new sounds arrive, and if a sound source conforms to an IM long enough, he may remember it for later use.

The IM for a scale is simply a list of all its intervals (dyads) grouped by the modes in which they appear. Scala will display it with "show/line intervals". Every fixed scale corresponds to one and only one IM. So if we assume that listeners will eventually perfect their picture of a scale's IM, we can infer things about the scale from its IM.

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<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>Lumma stability</title></head><body>Lumma stability is the portion of a scale's period which is not covered by its interval classes. The &quot;Lumma impropriety factor&quot; is the portion which is more than singly-covered. Scala will report these for any scale via its &quot;show data&quot; command.<br />

<br />

Rothenberg assumes a process whereby a listener hears melodic intervals between sounds and sorts them by size. This produces an &quot;interval matrix&quot; (IM) in the listener's mind. The listener continually refines this IM as ~~stimuli~~ arrive, and if a source ~~is consistent for~~ long enough he may remember ~~its IM~~ for later use.<br />

Rothenberg assumes a process whereby a listener hears melodic intervals between sounds and sorts them by size. This produces an &quot;interval matrix&quot; (IM) in the listener's mind. The listener continually refines this IM as new sounds arrive, and if a sound source conforms to an IM long enough, he may remember it for later use.<br />

<br />

The IM for a scale is simply a list of all its intervals (dyads) grouped by the modes in which they appear. Scala will display it with &quot;show/line intervals&quot;. Every fixed scale corresponds to one and only one IM. So if we assume that listeners will eventually perfect their picture of a scale's IM, we can infer things about the scale from its IM.<br />

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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:clumma|clumma]] and made on <tt>2011-08-13 18:39:46 UTC</tt>.<br>
+: This revision was by author [[User:clumma|clumma]] and made on <tt>2011-08-13 18:44:08 UTC</tt>.<br>
-: The original revision id was <tt>245800563</tt>.<br>
+: The original revision id was <tt>245800935</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>
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 <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;white-space: pre-wrap ! important" class="old-revision-html">Lumma stability is the portion of a scale's period which is not covered by its interval classes.  The "Lumma impropriety factor" is the portion which is more than singly-covered.  Scala will report these for any scale via its "show data" command.
-Rothenberg assumes a process whereby a listener hears melodic intervals between sounds and sorts them by size.  This produces an "interval matrix" (IM) in the listener's mind.  The listener continually refines this IM as stimuli arrive, and if a source is consistent for long enough he may remember its IM for later use.
+Rothenberg assumes a process whereby a listener hears melodic intervals between sounds and sorts them by size.  This produces an "interval matrix" (IM) in the listener's mind.  The listener continually refines this IM as new sounds arrive, and if a sound source conforms to an IM long enough, he may remember it for later use.
 The IM for a scale is simply a list of all its intervals (dyads) grouped by the modes in which they appear.  Scala will display it with "show/line intervals".  Every fixed scale corresponds to one and only one IM.  So if we assume that listeners will eventually perfect their picture of a scale's IM, we can infer things about the scale from its IM.
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 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Lumma stability&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Lumma stability is the portion of a scale's period which is not covered by its interval classes.  The &amp;quot;Lumma impropriety factor&amp;quot; is the portion which is more than singly-covered.  Scala will report these for any scale via its &amp;quot;show data&amp;quot; command.&lt;br /&gt;
 &lt;br /&gt;
-Rothenberg assumes a process whereby a listener hears melodic intervals between sounds and sorts them by size.  This produces an &amp;quot;interval matrix&amp;quot; (IM) in the listener's mind.  The listener continually refines this IM as stimuli arrive, and if a source is consistent for long enough he may remember its IM for later use.&lt;br /&gt;
+Rothenberg assumes a process whereby a listener hears melodic intervals between sounds and sorts them by size.  This produces an &amp;quot;interval matrix&amp;quot; (IM) in the listener's mind.  The listener continually refines this IM as new sounds arrive, and if a sound source conforms to an IM long enough, he may remember it for later use.&lt;br /&gt;
 &lt;br /&gt;
 The IM for a scale is simply a list of all its intervals (dyads) grouped by the modes in which they appear.  Scala will display it with &amp;quot;show/line intervals&amp;quot;.  Every fixed scale corresponds to one and only one IM.  So if we assume that listeners will eventually perfect their picture of a scale's IM, we can infer things about the scale from its IM.&lt;br /&gt;