Starling chords: Difference between revisions
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'''Starling chords''' are [[Dyadic chord#Essentially tempered dyadic chords|essentially tempered dyadic chords]] tempered by the | '''Starling chords''' are [[Dyadic chord #Essentially tempered dyadic chords|essentially tempered dyadic chords]] tempered by the starling comma, [[126/125]]. | ||
The starling [[tetrad]] is an 126/125-tempered [[chord]] which in close position ([[octave reduction|reduced to an octave]]) consists of a chain of three approximate [[6/5]] minor thirds and an approximate [[7/6]] subminor third, in a tuning which [[Tempering out|tempers out]] the starling comma, 126/125, and hence causes it to close on the [[octave]]. That is, it is a starling-tempered 6/5-6/5-6/5-7/6, which may also be regarded as a tempered 1-6/5-10/7-12/7; it is also known as the septimal semicomma diminished seventh chord. In a [[meantone]] tuning the starling tetrad is three minor thirds and an augmented second, which is the traditional diminished seventh chord of common practice music in the meantone era. | The starling [[tetrad]] is an 126/125-tempered [[chord]] which in close position ([[octave reduction|reduced to an octave]]) consists of a chain of three approximate [[6/5]] minor thirds and an approximate [[7/6]] subminor third, in a tuning which [[Tempering out|tempers out]] the starling comma, 126/125, and hence causes it to close on the [[octave]]. That is, it is a starling-tempered 6/5-6/5-6/5-7/6, which may also be regarded as a tempered 1-6/5-10/7-12/7; it is also known as the septimal semicomma diminished seventh chord. In a [[meantone]] tuning the starling tetrad is three minor thirds and an augmented second, which is the traditional diminished seventh chord of common practice music in the meantone era. | ||
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[[EDO|Equal temperaments]] with starling chords include [[19edo|19]], [[27edo|27]], [[31edo|31]], [[43edo|43]], [[46edo|46]], [[50edo|50]], [[58edo|58]], [[77edo|77]], [[185edo|185]] and [[265edo|265c]], and using the [[patent val]] tuning, [[34edo|34]] and [[65edo|65]]. | [[EDO|Equal temperaments]] with starling chords include [[19edo|19]], [[27edo|27]], [[31edo|31]], [[43edo|43]], [[46edo|46]], [[50edo|50]], [[58edo|58]], [[77edo|77]], [[185edo|185]] and [[265edo|265c]], and using the [[patent val]] tuning, [[34edo|34]] and [[65edo|65]]. | ||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Triad]] | [[Category:Triad]] | ||
[[Category:Tetrad]] | [[Category:Tetrad]] | ||
[[Category:Pentad]] | [[Category:Pentad]] | ||
[[Category:Starling]] |