User:Xenji/Redundancy: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 102362085 - Original comment: ** |
Wikispaces>xenjacob **Imported revision 102364345 - 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: | : This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2009-11-12 23:11:15 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>102364345</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 31: | Line 31: | ||
Here is a far from complete list of aspects of tunings systems that might indicate redundancy of some kind. Please add to it! | Here is a far from complete list of aspects of tunings systems that might indicate redundancy of some kind. Please add to it! | ||
* definite pitches | * the use of definite pitches | ||
** instead of, or in addition to [[noise]] | ** instead of, or in addition to [[noise]] | ||
* sustained pitch | * a sustained pitch | ||
** redundancy in time | ** redundancy in time | ||
* a [[ | * a [[scale]] (set of definite pitches) | ||
** redundancy in time: "I've heard these pitches before" | ** redundancy in time: "I've heard these pitches before" | ||
** less redundant: a scale which changes (for instance, ascending different from descending) | ** less redundant: a scale which changes (for instance, ascending different from descending) | ||
* [[consonance]] | * [[harmony]] influenced by a theory of [[consonance]] | ||
** more than one pitch sounding together & their distinctness blurring | ** more than one pitch sounding together & their distinctness blurring | ||
** if pitch y appears in the overtone series of pitch x, when pitch x is sounding (on a harmonic instrument), pitch y will also sound (although might not be identifiable as a distinct pitch) - so building a scale which contains both x & y is redundant | ** if pitch y appears in the overtone series of pitch x, when pitch x is sounding (on a harmonic instrument), pitch y will also sound (although might not be identifiable as a distinct pitch) - so building a scale which contains both x & y is redundant | ||
* [[octave equivalence]] | * [[octave equivalence]] | ||
** B-flat considered equivalent to B-flat an octave higher... | ** B-flat considered equivalent to B-flat an octave higher... | ||
* [[octave-repeating]] | ** an [[octave-repeating]] scale | ||
** the "same" pitches are available in each octave | *** the "same" pitches are available in each octave | ||
* [[equal]] divisions of some interval | * [[equal]] divisions of some interval | ||
** less redundant: [[quasi-equal]] divisions | ** less redundant: [[quasi-equal]] divisions | ||
* tuning lattices | * tuning lattices | ||
** "two-dimensional", "three-dimensional", etc. where each axis represents iterations of a single interval | |||
* [[harmonic limit]] | * [[harmonic limit]] | ||
* building scales from/with [[tetrachord|tetrachords]] | * building scales from/with [[tetrachord|tetrachords]] | ||
** more redundant: the same tetrachord repeated in the gamut | ** more redundant: the same tetrachord repeated in the gamut | ||
** less redundant: two (or more) different tetrachords in the gamut | ** less redundant: two (or more) different tetrachords in the gamut | ||
* [[MOSScales|moment of symmetry]] technique (making a chain of one interval) | * [[MOSScales|moment of symmetry]] technique (making a chain of one 'generator' interval, folded within a set 'period' interval) | ||
** produces scales with two step sizes & | ** produces scales with only two step sizes & only two intervals of each class | ||
** less redundant: [[MOS Cradle]] or [[Second Order MOS]] | ** less redundant extensions: [[MOS Cradle]] or [[Second Order MOS]] | ||
* matching tuning to timbre | * matching tuning to timbre | ||
** eg. rational intonation - selecting pitches which are copied in the [[OverToneSeries|overtone series]] of other intervals | ** eg. rational intonation - selecting pitches which are copied in the [[OverToneSeries|overtone series]] of other intervals | ||
| Line 77: | Line 78: | ||
<br /> | <br /> | ||
Here is a far from complete list of aspects of tunings systems that might indicate redundancy of some kind. Please add to it!<br /> | Here is a far from complete list of aspects of tunings systems that might indicate redundancy of some kind. Please add to it!<br /> | ||
<ul><li>definite pitches<ul><li>instead of, or in addition to <a class="wiki_link" href="/noise">noise</a></li></ul></li><li>sustained pitch<ul><li>redundancy in time</li></ul></li><li>a <a class="wiki_link" href="/ | <ul><li>the use of definite pitches<ul><li>instead of, or in addition to <a class="wiki_link" href="/noise">noise</a></li></ul></li><li>a sustained pitch<ul><li>redundancy in time</li></ul></li><li>a <a class="wiki_link" href="/scale">scale</a> (set of definite pitches)<ul><li>redundancy in time: &quot;I've heard these pitches before&quot;</li><li>less redundant: a scale which changes (for instance, ascending different from descending)</li></ul></li><li><a class="wiki_link" href="/harmony">harmony</a> influenced by a theory of <a class="wiki_link" href="/consonance">consonance</a><ul><li>more than one pitch sounding together &amp; their distinctness blurring</li><li>if pitch y appears in the overtone series of pitch x, when pitch x is sounding (on a harmonic instrument), pitch y will also sound (although might not be identifiable as a distinct pitch) - so building a scale which contains both x &amp; y is redundant</li></ul></li><li><a class="wiki_link" href="/octave%20equivalence">octave equivalence</a><ul><li>B-flat considered equivalent to B-flat an octave higher...</li><li>an <a class="wiki_link" href="/octave-repeating">octave-repeating</a> scale<ul><li>the &quot;same&quot; pitches are available in each octave</li></ul></li></ul></li><li><a class="wiki_link" href="/equal">equal</a> divisions of some interval<ul><li>less redundant: <a class="wiki_link" href="/quasi-equal">quasi-equal</a> divisions</li></ul></li><li>tuning lattices<ul><li>&quot;two-dimensional&quot;, &quot;three-dimensional&quot;, etc. where each axis represents iterations of a single interval</li></ul></li><li><a class="wiki_link" href="/harmonic%20limit">harmonic limit</a></li><li>building scales from/with <a class="wiki_link" href="/tetrachord">tetrachords</a><ul><li>more redundant: the same tetrachord repeated in the gamut</li><li>less redundant: two (or more) different tetrachords in the gamut</li></ul></li><li><a class="wiki_link" href="/MOSScales">moment of symmetry</a> technique (making a chain of one 'generator' interval, folded within a set 'period' interval)<ul><li>produces scales with only two step sizes &amp; only two intervals of each class</li><li>less redundant extensions: <a class="wiki_link" href="/MOS%20Cradle">MOS Cradle</a> or <a class="wiki_link" href="/Second%20Order%20MOS">Second Order MOS</a></li></ul></li><li>matching tuning to timbre<ul><li>eg. rational intonation - selecting pitches which are copied in the <a class="wiki_link" href="/OverToneSeries">overtone series</a> of other intervals</li><li>eg. Indonesian gamelan tuning - the scale is made to match the inharmonic pitches of the metals used in building the instruments</li><li>octaves in the high range of a piano are routinely stretched to fit with the &quot;distorted&quot; sound of the high-tension strings</li></ul></li><li>matching timbre to tuning<ul><li>the reverse of the above: making a timbre (usually with a computer) to &quot;match&quot; a stipulated tuning</li></ul></li></ul></body></html></pre></div> | ||