Major third: Difference between revisions

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m Temperaments that use 5/4 as a generator: there is a sequence here, also augmented doesnt use 5/4 as a generator but as a period; the generator of augmented is a sharp 3/2
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=== Temperaments that use 5/4 as a generator ===
=== Temperaments that use 5/4 as a generator ===
* [[Magic]], which generates 3/2 by stacking five 5/4s (octave-reduced).
* [[Würschmidt]], which generates 6/1 by stacking eight 5/4's, so that 128/125 flat of 5/4 represents a neutral third.
* [[Augmented (temperament)|Augmented]], which splits the octave into three equal parts, each representing [[5/4]].
* [[Magic]], which generates 3/1 by stacking five 5/4's.
* [[Father]], a very inaccurate temperament which equates [[4/3]] and 5/4 as a single "fourth-third" interval
* [[Dicot]], an exotemperament which generates 3/2 by stacking two 5/4's so that the mapping dictates that 5/4 and [[6/5]] are equated.
* [[Dicot]], a somewhat inaccurate temperament which equates 5/4 and [[6/5]], tempering out the chromatic semitone that usually separates them
* [[Father]], an exotemperament which equates [[4/3]] and 5/4 as a single "fourth-third" interval, from which it derives its name.


=== Temperaments that use 9/7 as a generator ===
=== Temperaments that use 9/7 as a generator ===