40ed10: Difference between revisions

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 The '''division of the 10th harmonic into 40 equal parts''' (40ED10) is related to [[12edo|12EDO]], but with 10/1 instead of 2/1 being just. The step size (99.657843 [[cent]]s) of this [[equal-step tuning]] is very close to 1\12 (one step of 12 EDO).
-It is possible to call this division a form of '''decibel tuning''' or '''kilobyte tuning''', as
+The octave, which is 12\40 = 3\10, is compressed by about 4.1 cents.
-<math>10^{\frac{1}{10}} \approx 2^{\frac{1}{3}} = 1.2589254 \approx 1.2599210</math>;
-which lies in the basis of the definition of decibel. In addition, as a consequence of the previous formula,
-<math>2^{10} \approx 10^{3} = 1024 \approx 1000</math>;
-which lies in the basis of using a "decimal" prefix to an otherwise binary unit of information. The octave, which is 12\40 = 3\10, is compressed by about 4.1 cents.
 == Theory ==
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+=== Miscellany ===
+It is possible to call this division a form of '''kilobyte tuning''', as
+<math>2^{10} \approx 10^{3} = 1024 \approx 1000</math>;
+which lies in the basis of using a "decimal" prefix to an otherwise binary unit of information.
 == Regular temperaments ==