Barium: Difference between revisions
→Theory: do we need a separate page for the 5-limit comma if it's in one-to-one correspondence with barium and it's not known for anything else besides that, as opposed to 81/80? |
Removing infobox interval because the template automatically adds categories. |
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For technical data see: [[Fractional-octave temperaments#Barium]] | For technical data see: [[Fractional-octave temperaments#Barium]] | ||
== Theory == | == Theory == | ||
An octave is equal to about <math>\frac{1}{\log{2}{\frac{81}{80}}} = 55.79763</math> syntonic commas, which when rounded to the closest integer yields 56. The associated comma in the 5-limit is {{monzo|-225 224 -56}} (see infobox on the right). The comma is about 4 cents wide, but since each 81/80 is flattened by only about 0.07 cents as a consequence, barium is a very precise microtemperament. | An octave is equal to about <math>\frac{1}{\log{2}{\frac{81}{80}}} = 55.79763</math> syntonic commas, which when rounded to the closest integer yields 56. The associated comma in the 5-limit is {{monzo|-225 224 -56}} (see infobox on the right). The comma is about 4 cents wide, but since each 81/80 is flattened by only about 0.07 cents as a consequence, barium is a very precise microtemperament. | ||