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- Generalized_keyboard abstract "Generalized keyboards are musical keyboards, a type of isomorphic keyboard, with regular, tile-like arrangements usually with rectangular or hexagonal keys, and were developed for performing music in different tunings. They were introduced by Robert Bosanquet in the 1870s, and since the 1960s Erv Wilson has developed new methods of using and expanding them, proposing keyboard layouts (and some notations) including but not limited to any scale made of a single generator within an "octave" (or more generally, period) of any size.The generalized keyboard is one kind of symmetrical arrangement that represents pitches according to their relationship to each other - rather than their positions in specific scales such as in the familiar piano and organ keyboard - as well as in sequence of pitch, unlike arrangements such as duet systems for concertinas and the array system keyboard. Bosanquet used chains of fifths to generate the mapping of the keys, with the pitches transposed into the space of an octave (or more generally, period) so that pitch determined the lateral position of keys, and the number of fifths, or any other interval used as generators, from the starting pitch its vertical position in the keyboard. The coordinates of a key can be calculated using the size of the generator (in cents), where the vertical position is the number of generators away from the starting pitch, (positive or negative depending on whether they are in the sharp or flat direction), which Bosanquet rounded to the nearest semitone, giving 12 vertically aligned rows of keys in each octave. Wilson introduced alternate arrangements with combinations of seven or five (and in some cases, i.e. a division of the octave in 13 tones, eight) vertical lines of keys, and so Bosanquet keyboard sometimes is used to distinguish the original arrangement. The angle between keys originally depended on the shape of the key and relative size of the generating fifth, but Bosanquet discovered fingering could sometimes be improved by reversing this angle; the angle can also be straightened out, or the spacing changed to better represent the keys' pitches, which alters vertical alignment. Generalized keyboards usually duplicate pitches mapped close to the front and rear edges of the arrangement in order to organize pitches for consistent fingering. This can result in very large arrangements depending on the shape of the keys and any modifications made to the basic design.The possibility of the duplication of pitches occurs because the generalized keyboard is, in principle, a mapping of pitches onto a closed space in which intervals and chords have fixed shapes under transposition across the keyboard; thus a generalized keyboard is a useful tool for the analysis of harmonic structures.".
- Generalized_keyboard thumbnail Basicgeneralizedkeyboard.gif?width=300.
- Generalized_keyboard wikiPageExternalLink bosanqet.htm.
- Generalized_keyboard wikiPageExternalLink bosanquet.html.
- Generalized_keyboard wikiPageExternalLink hanson.PDF.
- Generalized_keyboard wikiPageExternalLink wilson.html.
- Generalized_keyboard wikiPageExternalLink xen1.PDF.
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- Generalized_keyboard wikiPageExternalLink hex.htm.
- Generalized_keyboard wikiPageExternalLink fokkerorg.html.
- Generalized_keyboard wikiPageExternalLink pels.html.
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- Generalized_keyboard wikiPageID "11242040".
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- Generalized_keyboard wikiPageRevisionID "646176576".
- Generalized_keyboard wikiPageWikiLink Adriaan_Fokker.
- Generalized_keyboard wikiPageWikiLink Alain_Daniélou.
- Generalized_keyboard wikiPageWikiLink Array_mbira.
- Generalized_keyboard wikiPageWikiLink Array_system.
- Generalized_keyboard wikiPageWikiLink Category:Isomorphic_keyboard_layouts.
- Generalized_keyboard wikiPageWikiLink Category:Microtonality.
- Generalized_keyboard wikiPageWikiLink Chromatic_button_accordion.
- Generalized_keyboard wikiPageWikiLink Circle_of_fifths.
- Generalized_keyboard wikiPageWikiLink Concertina.
- Generalized_keyboard wikiPageWikiLink Erv_Wilson.
- Generalized_keyboard wikiPageWikiLink George_Secor.
- Generalized_keyboard wikiPageWikiLink Harold_Fortuin.
- Generalized_keyboard wikiPageWikiLink Huygens-Fokker_Foundation.
- Generalized_keyboard wikiPageWikiLink Isomorphic_keyboard.
- Generalized_keyboard wikiPageWikiLink Janko_keyboard.
- Generalized_keyboard wikiPageWikiLink Jankó_keyboard.
- Generalized_keyboard wikiPageWikiLink Joseph_A._Paradiso.
- Generalized_keyboard wikiPageWikiLink Keyboard_(music).
- Generalized_keyboard wikiPageWikiLink Linear_temperament.
- Generalized_keyboard wikiPageWikiLink Michel_Geiss.
- Generalized_keyboard wikiPageWikiLink Musical_keyboard.
- Generalized_keyboard wikiPageWikiLink Musical_tuning.
- Generalized_keyboard wikiPageWikiLink Pitch_space.
- Generalized_keyboard wikiPageWikiLink Regular_temperament.
- Generalized_keyboard wikiPageWikiLink Robert_Holford_Macdowall_Bosanquet.
- Generalized_keyboard wikiPageWikiLink Robert_Holford_Macdowell_Bosanquet.
- Generalized_keyboard wikiPageWikiLink Robert_Moog.
- Generalized_keyboard wikiPageWikiLink Stichting_Huygens-Fokker.
- Generalized_keyboard wikiPageWikiLink Tuning_(music).
- Generalized_keyboard wikiPageWikiLink File:Basicgeneralizedkeyboard.gif.
- Generalized_keyboard wikiPageWikiLink File:PianoKeyboard.svg.
- Generalized_keyboard wikiPageWikiLink File:Stonebos.gif.
- Generalized_keyboard wikiPageWikiLinkText "Generalized keyboard".
- Generalized_keyboard wikiPageWikiLinkText "The Generalized keyboard".
- Generalized_keyboard wikiPageWikiLinkText "generalized keyboard".
- Generalized_keyboard wikiPageWikiLinkText "generalized".
- Generalized_keyboard hasPhotoCollection Generalized_keyboard.
- Generalized_keyboard wikiPageUsesTemplate Template:Microtonal_music.
- Generalized_keyboard wikiPageUsesTemplate Template:Musical_keyboards.
- Generalized_keyboard subject Category:Isomorphic_keyboard_layouts.
- Generalized_keyboard subject Category:Microtonality.
- Generalized_keyboard hypernym Keyboards.
- Generalized_keyboard type Instrument.
- Generalized_keyboard type Person.
- Generalized_keyboard type Instrument.
- Generalized_keyboard comment "Generalized keyboards are musical keyboards, a type of isomorphic keyboard, with regular, tile-like arrangements usually with rectangular or hexagonal keys, and were developed for performing music in different tunings.".
- Generalized_keyboard label "Generalized keyboard".
- Generalized_keyboard sameAs m.02r4v2v.
- Generalized_keyboard sameAs Q5532486.
- Generalized_keyboard sameAs Q5532486.
- Generalized_keyboard wasDerivedFrom Generalized_keyboard?oldid=646176576.
- Generalized_keyboard depiction Basicgeneralizedkeyboard.gif.
- Generalized_keyboard isPrimaryTopicOf Generalized_keyboard.