User:BudjarnLambeth/Substitute harmonic: Difference between revisions

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A substitute harmonic{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.  
A substitute harmonic{{idiosyncratic}} is a more complex [[harmonic]] which is used to substitute for a simpler one.  


For example, you could substitute the 3rd harmonic for the very similar 769th harmonic. By doing this, you could convert a 2.3.5 [[subgroup temperament]] into a 2.769.5 subgroup temperament. Or, you could convert a 3.5.7 [[combination product set]] into a 769.5.7 combination product set.
For example, you could substitute the 3rd harmonic for the very similar 769th harmonic. By doing this, you could convert a 2.3.5 [[subgroup temperament]] into a 2.769.5 subgroup temperament. Or, you could convert a 3.5.7 [[combination product set]] into a 769.5.7 combination product set. This could allow for a whole array of subtly different harmonic flavours of existing tunings, while preserving their basic melodic and harmonic structure.


This could allow for a whole array of subtly different harmonic flavours of existing tunings, while preserving their basic melodic and harmonic structure.
You could also substitute a simpler harmonic ''n'' for two more complex harmonics, to make a dual-substitute-n temperament{{idiosyncratic}}, with similar aims (but different tactics) to a [[dual-fifth]] temperament.
 
You can also substitute a simpler harmonic ''n'' for two more complex harmonics, to make a dual-substitute-n temperament{{idiosyncratic}}, with similar aims (but different tactics) to a [[dual-fifth]] temperament.


= List of substitute harmonics =
= List of substitute harmonics =