Hemifamity family: Difference between revisions
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The '''hemifamity family''' of [[rank-3 temperament|rank-3]] [[temperament]]s [[tempering out|tempers out]] [[5120/5103]] = {{monzo| 10 -6 1 -1 }}. These temperaments divide an exact or approximate septimal quartertone, [[36/35]] into two equal steps, each representing [[81/80]]~[[64/63]], the syntonic comma or the septimal comma. Therefore, classical and septimal intervals are found by the same [[chain of fifths]] inflected by the same comma to the opposite sides. In addition we may identify [[10/7]] by the augmented fourth (C-F#) and [[50/49]] by the [[Pythagorean comma]]. | The '''hemifamity family''' of [[rank-3 temperament|rank-3]] [[temperament]]s [[tempering out|tempers out]] [[5120/5103]] = {{monzo| 10 -6 1 -1 }}. These temperaments divide an exact or approximate septimal quartertone, [[36/35]] into two equal steps, each representing [[81/80]]~[[64/63]], the syntonic comma or the septimal comma. Therefore, classical and septimal intervals are found by the same [[chain of fifths]] inflected by the same comma to the opposite sides. In addition we may identify [[10/7]] by the augmented fourth (C-F#) and [[50/49]] by the [[Pythagorean comma]]. | ||