Harmonic series: Difference between revisions

Line 1:

=Music based on the overtone series=

== Music based on the overtone series ==

The overtone series can be mathematically generated by ~~[[Gallery of Just Intervals|~~frequency ratios]] 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.

The overtone series can be mathematically generated by frequency ratios 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.

The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.

Line 11:

One might compose with the overtone series by, for instance:

~~<ul><li>~~Tuning to the first several overtones over one fundamental.~~</li><li>~~Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]... see [[overtone scales~~|Overtone Scales~~]]).~~</li><li>~~Tuning to the overtones of the overtones.~~</li><li>~~Tuning to the overtones of the overtones & the undertones of the undertones. (This can produce complex scales such as [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)~~</li></ul>~~

* Tuning to the first several overtones over one fundamental.

* Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]... see [[overtone scales]]).

* Tuning to the overtones of the overtones.

* Tuning to the overtones of the overtones & the undertones of the undertones. (This can produce complex scales such as [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)

==External links==

== External links ==

* [http://en.wikipedia.org/wiki/Spectral_music Spectral music article on wikipedia]

Line 21:

Line 24:

* [http://www.xing.com/net/overtonenetwork Oberton-Netzwerk (Xing)] - German-speaking group dedicated to overtone music on the social network platform [http://www.xing.com Xing]. Microtonal music in general is welcome, too.

==Some individual compositions==

== Some individual compositions ==

* ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/DroneInsideAnHarmonicSeries.mp3 Drone Inside An Harmonic Series]'' by [[Norbert Oldani]]

Line 39:

Line 42:

* Various by [http://www.stimmhorn.ch/ Stimmhorn] (experimental alphorn and yodeling combined with overtone singing)

==See also==

== See also ==

~~<ul><li>~~[[~~isoharmonic~~ chords~~|Isoharmonic Chords~~]]~~</li><li>~~[[First Five Octaves of the Harmonic Series]]~~</li><li>~~[[~~overtone~~ scales~~|Overtone Scales~~]]~~</li><li>~~[[ListOfOvertones]]~~</li><li>~~[[The Prime Harmonic Series]]~~</li><li>~~[[Harmonic]]~~</li></ul>~~

* [[Gallery of Just Intervals]]

* [[Isoharmonic chords]]

* [[First Five Octaves of the Harmonic Series]]

* [[Overtone scales]]

* [[ListOfOvertones]]

* [[The Prime Harmonic Series]]

* [[Harmonic]]

[[Category:Harmonic]]

[[Category:Harmonic series]]

~~[[Category:Ji]]~~

[[Category:Just intonation]]

[[Category:Just]]

[[Category:Listen]]

[[Category:Overtone]]

[[Category:Overview]]

[[Category:People]]

@@ Line 1: / Line 1: @@
-=Music based on the overtone series=
+== Music based on the overtone series ==
-The overtone series can be mathematically generated by [[Gallery of Just Intervals|frequency ratios]] 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.
+The overtone series can be mathematically generated by frequency ratios 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.
 The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.
@@ Line 11: / Line 11: @@
 One might compose with the overtone series by, for instance:
-<ul><li>Tuning to the first several overtones over one fundamental.</li><li>Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]... see [[overtone scales|Overtone Scales]]).</li><li>Tuning to the overtones of the overtones.</li><li>Tuning to the overtones of the overtones &amp; the undertones of the undertones. (This can produce complex scales such as [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)</li></ul>
+* Tuning to the first several overtones over one fundamental.
+* Tuning to an octave-repeating slice of the overtone series for use as a scale (for instance overtones 8 though 16, [[otones12-24|12 through 24]], [[otones20-40|20 through 40]]... see [[overtone scales]]).
+* Tuning to the overtones of the overtones.
+* Tuning to the overtones of the overtones &amp; the undertones of the undertones. (This can produce complex scales such as [[Harry Partch]]'s 43-tone Monophonic; this kind of thing is more often called "[[JustIntonation|just intonation]]" than "overtone music".)
-==External links==
+== External links ==
 * [http://en.wikipedia.org/wiki/Spectral_music Spectral music article on wikipedia]
@@ Line 21: / Line 24: @@
 * [http://www.xing.com/net/overtonenetwork Oberton-Netzwerk (Xing)] - German-speaking group dedicated to overtone music on the social network platform [http://www.xing.com Xing]. Microtonal music in general is welcome, too.
-==Some individual compositions==
+== Some individual compositions ==
 * ''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Oldani/DroneInsideAnHarmonicSeries.mp3 Drone Inside An Harmonic Series]'' by [[Norbert Oldani]]
@@ Line 39: / Line 42: @@
 * Various by [http://www.stimmhorn.ch/ Stimmhorn] (experimental alphorn and yodeling combined with overtone singing)
-==See also==
+== See also ==
-<ul><li>[[isoharmonic chords|Isoharmonic Chords]]</li><li>[[First Five Octaves of the Harmonic Series]]</li><li>[[overtone scales|Overtone Scales]]</li><li>[[ListOfOvertones]]</li><li>[[The Prime Harmonic Series]]</li><li>[[Harmonic]]</li></ul>
+* [[Gallery of Just Intervals]]
+* [[Isoharmonic chords]]
+* [[First Five Octaves of the Harmonic Series]]
+* [[Overtone scales]]
+* [[ListOfOvertones]]
+* [[The Prime Harmonic Series]]
+* [[Harmonic]]
 [[Category:Harmonic]]
 [[Category:Harmonic series]]
-[[Category:Ji]]
+[[Category:Just intonation]]
-[[Category:Just]]
 [[Category:Listen]]
 [[Category:Overtone]]
 [[Category:Overview]]
 [[Category:People]]