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berascale
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There are 9 letters in BERASCALE ( A1B3C3E1L1R1S1 )
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Berascale might refer to |
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The β (beta) scale is a non-octave-repeating musical scale invented by Wendy Carlos and first used on her album Beauty in the Beast (1986). It is derived from approximating just intervals using multiples of a single interval without, as is standard in equal temperaments, requiring an octave (2:1). It may be approximated by splitting the perfect fifth (3:2) into eleven equal parts (3:21/11≈63.8 cents). It may be approximated by splitting the perfect fourth (4:3) into two equal parts (4:31/2), or eight equal parts ((4:31/8=64 cents)), totaling approximately 18.8 steps per octave. * The scale step may also precisely be derived from using 11:6 Play to approximate the interval 3:2⁄5:4, which equals 6:5 Play .* In order to make the approximation as good as possible we minimize the mean square deviation....We choose a value of the scale degree so that eleven of them approximate a 3:2 perfect fifth, six of them approximate a 5:4 major third, and five of them approximate a 6:5 minor third. * * * * * * * * 11 * * log * * 2 * * * * * ( * 3 * * / * * 2 * ) * * + * 6 * * log * * 2 * * * * * ( * 5 * * / * * 4 * ) * * + * 5 * * log * * 2 * * * * * ( * 6 * * / * * 5 * ) * * * * * 11 * * 2 * * * + * * 6 * * 2 * * * + * * 5 * * 2 * * * * * * = * 0.05319411048 * * * {\displaystyle {\frac {11\log _{2}{(3/2)}+6\log _{2}{(5/4)}+5\log _{2}{(6/5)}}{11^{2}+6^{2}+5^{2}}}=0.05319411048} * and * * * * 0.05319411048 * × * 1200 * = * 63.832932576 * * * {\displaystyle 0.05319411048\times 1200=63.832932576} * (Play ) * Although neither has an octave, one advantage to the Beta scale over the alpha scale is that 15 steps, 957.494 cents, Play is a reasonable approximation to the seventh harmonic (7:4, 968.826 cents) Play though both have nice triads (Play major triad , minor triad , and dominant ... |