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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 [(3:2)1⁄11 ≈ 63.8 cents]. It may be approximated by splitting the perfect fourth (4:3) into two equal parts [(4:3)1⁄2], or eight equal parts [(4:3)1⁄8 = 64 cents], totaling approximately 18.8 steps per octave. and

Attributes	Values
rdf:type	yago:WikicatNon–octave-repeatingScales yago:Abstraction100002137 yago:Act100030358 yago:Activity100407535 yago:Adjustment100999787 yago:Calibration100999245 yago:EqualTemperament101000610 yago:Event100029378 yago:Measure100033615 yago:PsychologicalFeature100023100 yago:YagoPermanentlyLocatedEntity aircraft yago:Scale113850304 yago:Standard107260623 yago:SystemOfMeasurement113577171 yago:Temperament101000411 yago:WikicatEqualTemperaments
rdfs:label	Beta scale (en)
rdfs:comment	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 [(3:2)1⁄11 ≈ 63.8 cents]. It may be approximated by splitting the perfect fourth (4:3) into two equal parts [(4:3)1⁄2], or eight equal parts [(4:3)1⁄8 = 64 cents], totaling approximately 18.8 steps per octave. and (en)
foaf:depiction
dcterms:subject	Equal temperaments Non–octave-repeating scales Wendy Carlos
Wikipage page ID	27697100 (xsd:integer)
Wikipage revision ID	1081785855 (xsd:integer)
Link from a Wikipage to another Wikipage	Beauty in the Beast Equal temperaments Equal temperament Gamma scale Musical scale Bohlen–Pierce scale Delta scale Major third Non–octave-repeating scales Triad (music) Wendy Carlos Alpha scale Wendy Carlos Chromatic circle Perfect fifth 19 equal temperament Minor third Diminished seventh chord Mean square deviation Neutral seventh Octave Perfect fourth Scale step Seventh harmonic Just interval
Link from a Wikipage to an external page	http://www.wendycarlos.com/resources/pitch.html
sameAs	Beta scale Beta scale Beta scale Beta scale
dbp:wikiPageUsesTemplate	dbt:Wendy_Carlos dbt:Audio dbt:Frac dbt:Multiple_image dbt:Music dbt:Musical_tuning dbt:Quote dbt:Reflist dbt:Short_description dbt:Microtonal_music dbt:Scales
thumbnail	wiki-commons:Special:FilePath/Perfect_fourth_on_C.png?width=300
caption	Twelve-tone equal temperament vs. just (en) Comparing the beta scale's approximations with the just values (en)
direction	vertical (en)
header	Chromatic circle
image	12 (xsd:integer) Beta scale chromatic circle.png (en)
has abstract	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 [(3:2)1⁄11 ≈ 63.8 cents]. It may be approximated by splitting the perfect fourth (4:3) into two equal parts [(4:3)1⁄2], or eight equal parts [(4:3)1⁄8 = 64 cents], totaling approximately 18.8 steps per octave. The scale step may also precisely be derived from using 11:6 (B↑♭-, 1049.36 cents, ) to approximate the interval 3:2⁄5:4, which equals 6:5 . 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. and Although neither has an octave, one advantage to the beta scale over the alpha scale is that 15 steps, 957.494 cents, is a reasonable approximation to the seventh harmonic (7:4, 968.826 cents) though both have nice triads . "According to Carlos, beta has almost the same properties as the alpha scale, except that the sevenths are slightly more in tune." The delta scale may be regarded as the beta scale's reciprocal since it is "as far 'down' the (0 3 6 9) circle from α as β is 'up'." (en)
gold:hypernym	Scale
prov:wasDerivedFrom	wikipedia-en:Beta_scale?oldid=1081785855&ns=0
page length (characters) of wiki page	5183 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Beta_scale
is Link from a Wikipage to another Wikipage of	Beauty in the Beast List of pitch intervals Index of music articles List of musical scales and modes Equal temperament Gamma scale Bohlen–Pierce scale Delta scale Tone cluster Twelfth root of two Wendy Carlos Alpha scale 19 equal temperament Musical tuning Octatonic scale
is foaf:primaryTopic of	wikipedia-en:Beta_scale

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