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- Strähle_construction abstract "Strähle's construction is a geometric method for determining the lengths for a series of vibrating strings with uniform diameters and tensions to sound pitches in a specific rational tempered musical tuning. It was first published in the 1743 Proceedings of the Royal Swedish Academy of Sciences by Swedish master organ maker Daniel Stråhle (1700–1746). The Academy's secretary Jacob Faggot appended a miscalculated set of pitches to the article, and these figures were reproduced by Friedrich Wilhelm Marpurg in Versuch über die musikalische Temperatur in 1776. Several German textbooks published about 1800 reported that the mistake was first identified by Christlieb Benedikt Funk in 1779, but the construction itself appears to have received little notice until the middle of the twentieth century when tuning theorist J. Murray Barbour presented it as a good method for approximating equal temperament and similar exponentials of small roots, and generalized its underlying mathematical principles.It has become known as a device for building fretted musical instruments through articles by mathematicians Ian Stewart and Isaac Jacob Schoenberg, and is praised by them as a unique and remarkably elegant solution developed by an unschooled craftsman.The name "Strähle" used in recent English language works appears to be due to a transcription error in Marpurg's text, where the old-fashioned diacritic raised "e" was substituted for the raised ring.".
- Strähle_construction thumbnail 1743_strahle_nyttpafund_firstpage.png?width=300.
- Strähle_construction wikiPageExternalLink books?id=Ir44AAAAMAAJ.
- Strähle_construction wikiPageExternalLink turningandtemper027139mbp.
- Strähle_construction wikiPageID "309536".
- Strähle_construction wikiPageLength "36134".
- Strähle_construction wikiPageOutDegree "46".
- Strähle_construction wikiPageRevisionID "677099964".
- Strähle_construction wikiPageWikiLink Abraham_Hülphers.
- Strähle_construction wikiPageWikiLink Augustin_Ehrensvärd.
- Strähle_construction wikiPageWikiLink Carl_Fredrik_Mennander.
- Strähle_construction wikiPageWikiLink Carl_Linnaeus.
- Strähle_construction wikiPageWikiLink Carl_von_Linne.
- Strähle_construction wikiPageWikiLink Category:Geometry.
- Strähle_construction wikiPageWikiLink Category:Musical_tuning.
- Strähle_construction wikiPageWikiLink Category:String_instrument_construction.
- Strähle_construction wikiPageWikiLink Christopher_Polhem.
- Strähle_construction wikiPageWikiLink Clavichord.
- Strähle_construction wikiPageWikiLink Dom_Bédos_de_Celles.
- Strähle_construction wikiPageWikiLink Equal_temperament.
- Strähle_construction wikiPageWikiLink Ernst_Chladni.
- Strähle_construction wikiPageWikiLink Friedrich_Wilhelm_Marpurg.
- Strähle_construction wikiPageWikiLink Geometric_mean.
- Strähle_construction wikiPageWikiLink Geometry.
- Strähle_construction wikiPageWikiLink Gioseffo_Zarlino.
- Strähle_construction wikiPageWikiLink Ian_Stewart_(mathematician).
- Strähle_construction wikiPageWikiLink Isaac_Jacob_Schoenberg.
- Strähle_construction wikiPageWikiLink Johann_Mattheson.
- Strähle_construction wikiPageWikiLink Just_intonation.
- Strähle_construction wikiPageWikiLink Marin_Mersenne.
- Strähle_construction wikiPageWikiLink Musical_temperament.
- Strähle_construction wikiPageWikiLink Musical_tuning.
- Strähle_construction wikiPageWikiLink Organ_(music).
- Strähle_construction wikiPageWikiLink Pitch_(music).
- Strähle_construction wikiPageWikiLink Pythagorean_tuning.
- Strähle_construction wikiPageWikiLink Quarter-comma_meantone.
- Strähle_construction wikiPageWikiLink Royal_Swedish_Academy_of_Sciences.
- Strähle_construction wikiPageWikiLink Samuel_Klingenstierna.
- Strähle_construction wikiPageWikiLink Sector_(instrument).
- Strähle_construction wikiPageWikiLink Similarity_(geometry).
- Strähle_construction wikiPageWikiLink Square_root_of_2.
- Strähle_construction wikiPageWikiLink Square_root_of_two.
- Strähle_construction wikiPageWikiLink Stockholm_Music_Museum.
- Strähle_construction wikiPageWikiLink Strömsholm_Palace.
- Strähle_construction wikiPageWikiLink Vibrating_string.
- Strähle_construction wikiPageWikiLink Vincenzo_Galilei.
- Strähle_construction wikiPageWikiLink Well_temperament.
- Strähle_construction wikiPageWikiLink File:1743Faggot_table.png.
- Strähle_construction wikiPageWikiLink File:1743Strahle_tabvifig4.svg.
- Strähle_construction wikiPageWikiLink File:1743_strahle_nyttpafund_firstpage.png.
- Strähle_construction wikiPageWikiLink File:1743straahle_fifthsandthirdschart.png.
- Strähle_construction wikiPageWikiLink File:1779_funk_desonoettono_titlepage.jpg.
- Strähle_construction wikiPageWikiLink File:1833_Kuetzing_tab1fig4_1916wolfenden_fig5.svg.
- Strähle_construction wikiPageWikiLinkText "Strähle construction".
- Strähle_construction caption "Barbour's and Schoenberg's methods".
- Strähle_construction caption "Barbour's method".
- Strähle_construction direction "vertical".
- Strähle_construction hasPhotoCollection Strähle_construction.
- Strähle_construction image "1957".
- Strähle_construction width "200".
- Strähle_construction wikiPageUsesTemplate Template:Multiple_image.
- Strähle_construction wikiPageUsesTemplate Template:Note.
- Strähle_construction wikiPageUsesTemplate Template:Ref.
- Strähle_construction subject Category:Geometry.
- Strähle_construction subject Category:Musical_tuning.
- Strähle_construction subject Category:String_instrument_construction.
- Strähle_construction comment "Strähle's construction is a geometric method for determining the lengths for a series of vibrating strings with uniform diameters and tensions to sound pitches in a specific rational tempered musical tuning. It was first published in the 1743 Proceedings of the Royal Swedish Academy of Sciences by Swedish master organ maker Daniel Stråhle (1700–1746).".
- Strähle_construction label "Strähle construction".
- Strähle_construction sameAs m.01s_k4.
- Strähle_construction sameAs Q7625984.
- Strähle_construction sameAs Q7625984.
- Strähle_construction wasDerivedFrom Strähle_construction?oldid=677099964.
- Strähle_construction depiction 1743_strahle_nyttpafund_firstpage.png.
- Strähle_construction isPrimaryTopicOf Strähle_construction.