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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. This could allow for a whole array of subtly different harmonic flavours of existing tunings, while preserving their basic melodic and harmonic structure.
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 2.5.769 subgroup temperament or a 2.5.769/512 subgroup temperament. Or, you could convert a 3.5.7 [[combination product set]] into a 769.5.7 combination product set.


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 could also substitute a simpler harmonic ''n'' in a dual-n temperament for two more complex harmonics, to make a '''dual-substitute-n temperament'''{{idiosyncratic}}. For example, you could convert a 2.3-.3+.5 subgroup temperament into a 2.5.767.769 subgroup temperament, or a 2.5.767/512.769/512 subgroup temperament.


= List of substitute harmonics =
= List of substitute harmonics =
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== Dual-substitute-3 temperaments ==
== Dual-substitute-3 temperaments ==
a.k.a. '''dual-substitute-fifth temperaments'''{{idiosyncratic}}.
a.k.a. '''dual-substitute-fifth temperaments'''{{idiosyncratic}}.
=== 2.5.767.769 subgroup temperaments ===
=== 2.5.383.385 subgroup temperaments ===
=== 2.5.765.771 subgroup temperaments ===
=== 2.5.191.193 subgroup temperaments ===
=== 2.5.7.767.769 subgroup temperaments ===
=== 2.5.7.383.385 subgroup temperaments ===
=== 2.5.7.765.771 subgroup temperaments ===
=== 2.5.7.191.193 subgroup temperaments ===
=== 2.5.7.11.767.769 subgroup temperaments ===
=== 2.5.7.11.383.385 subgroup temperaments ===
=== 2.5.7.11.765.771 subgroup temperaments ===
=== 2.5.7.11.191.193 subgroup temperaments ===
=== 2.5.11.767.769 subgroup temperaments ===
=== 2.5.11.383.385 subgroup temperaments ===
=== 2.5.11.765.771 subgroup temperaments ===
=== 2.5.11.191.193 subgroup temperaments ===


== Dual-substitute-5 temperaments ==
== Dual-substitute-5 temperaments ==
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