Chladni, Ernst Florens Friedrich: Die Akustik. Leipzig, 1802.Anstatt der kleinen Terz: Anstatt der großen Terz: Ward schon von den Alten häufig gebraucht, und Ditonus genennt. Anstatt der Quinte: Anſtatt der kleinen Terz: Anſtatt der großen Terz: Ward ſchon von den Alten haͤufig gebraucht, und Ditonus genennt. Anſtatt der Quinte: <TEI> <text> <body> <div n="1"> <div n="2"> <div n="3"> <pb facs="#f0088" n="54"/> <list> <item><formula notation="TeX">\frac{180}{161}</formula> = <formula notation="TeX">\frac{10}{9}</formula> × <formula notation="TeX">\frac{162}{161}</formula> oder <formula notation="TeX">\frac{9}{8}</formula> × <formula notation="TeX">\frac{160}{161}</formula> ‒ ‒ 1,1180 ..</item><lb/> <item><formula notation="TeX">\frac{161}{144}</formula> = <formula notation="TeX">\frac{10}{9}</formula> × <formula notation="TeX">\frac{161}{160}</formula> oder <formula notation="TeX">\frac{9}{8}</formula> × <formula notation="TeX">\frac{161}{162}</formula> ‒ ‒ 1,1180 ..</item><lb/> <item><formula notation="TeX">\frac{144}{123}</formula> = <formula notation="TeX">\frac{9}{8}</formula> × <formula notation="TeX">\frac{128}{125}</formula><space dim="horizontal"/>1,152,</item><lb/> <item><formula notation="TeX">\frac{256}{225}</formula> = <formula notation="TeX">\frac{9}{8}</formula> × <formula notation="TeX">\frac{2048}{2025}</formula><space dim="horizontal"/>1,1377 ..</item><lb/> <item><formula notation="TeX">\frac{1125}{1024}</formula> = <formula notation="TeX">\frac{10}{9}</formula> × <formula notation="TeX">\frac{2025}{2048}</formula> oder <formula notation="TeX">\frac{9}{8}</formula> × <formula notation="TeX">\frac{129}{128}</formula> ‒ ‒ 1,0986 ..</item><lb/> <item><formula notation="TeX">\frac{729}{640}</formula> = <formula notation="TeX">\frac{9}{8}</formula> × <formula notation="TeX">\frac{81}{80}</formula><space dim="horizontal"/>1,1390 ..</item> </list><lb/> <p> <hi rendition="#c"> <hi rendition="#g">Anſtatt der kleinen Terz:</hi> </hi> </p><lb/> <list> <item><formula notation="TeX">\frac{32}{27}</formula> = <formula notation="TeX">\frac{6}{5}</formula> × <formula notation="TeX">\frac{80}{81}</formula><space dim="horizontal"/>1,1851 ..</item><lb/> <item><formula notation="TeX">\frac{161}{135}</formula> = <formula notation="TeX">\frac{6}{5}</formula> × <formula notation="TeX">\frac{161}{162}</formula><space dim="horizontal"/>1,1925 ..</item><lb/> <item><formula notation="TeX">\frac{192}{161}</formula> = <formula notation="TeX">\frac{6}{5}</formula> × <formula notation="TeX">\frac{160}{161}</formula><space dim="horizontal"/>1,1924 ..</item><lb/> <item><formula notation="TeX">\frac{1215}{1024}</formula> = <formula notation="TeX">\frac{6}{5}</formula> × <formula notation="TeX">\frac{2025}{2048}</formula><space dim="horizontal"/>1,1865 ..</item><lb/> <item><formula notation="TeX">\frac{75}{64}</formula> = <formula notation="TeX">\frac{6}{5}</formula> × <formula notation="TeX">\frac{125}{128}</formula><space dim="horizontal"/>1,1718 ..</item><lb/> <item><formula notation="TeX">\frac{243}{200}</formula> = <formula notation="TeX">\frac{6}{5}</formula> × <formula notation="TeX">\frac{81}{80}</formula><space dim="horizontal"/>1,215.</item> </list><lb/> <p> <hi rendition="#c"> <hi rendition="#g">Anſtatt der großen Terz:</hi> </hi> </p><lb/> <list> <item><formula notation="TeX">\frac{81}{64}</formula> = <formula notation="TeX">\frac{5}{4}</formula> × <formula notation="TeX">\frac{81}{80}</formula><space dim="horizontal"/>1,2656 ..</item> </list><lb/> <p>Ward ſchon von den Alten haͤufig gebraucht, und <hi rendition="#g">Ditonus</hi> genennt.</p><lb/> <list> <item><formula notation="TeX">\frac{312}{405}</formula> = <formula notation="TeX">\frac{5}{4}</formula> × <formula notation="TeX">\frac{2048}{2025}</formula><space dim="horizontal"/>1,2641 ..</item><lb/> <item><formula notation="TeX">\frac{161}{129}</formula> = <formula notation="TeX">\frac{5}{4}</formula> × <formula notation="TeX">\frac{161}{160}</formula><space dim="horizontal"/>1,2578 ..</item><lb/> <item><formula notation="TeX">\frac{32}{25}</formula> = <formula notation="TeX">\frac{5}{4}</formula> × <formula notation="TeX">\frac{128}{125}</formula><space dim="horizontal"/>1,28.</item> </list><lb/> <p> <hi rendition="#c"> <hi rendition="#g">Anſtatt der Quinte:</hi> </hi> </p><lb/> <list> <item><formula notation="TeX">\frac{40}{27}</formula> = <formula notation="TeX">\frac{3}{2}</formula> × <formula notation="TeX">\frac{80}{81}</formula><space dim="horizontal"/>1,4814 ..</item><lb/> <item><formula notation="TeX">\frac{161}{208}</formula> = <formula notation="TeX">\frac{3}{2}</formula> × <formula notation="TeX">\frac{161}{162}</formula><space dim="horizontal"/>1,4907 ..</item><lb/> <item><formula notation="TeX">\frac{240}{161}</formula> = <formula notation="TeX">\frac{3}{2}</formula> × <formula notation="TeX">\frac{160}{161}</formula><space dim="horizontal"/>1,4906 ..</item><lb/> <item><formula notation="TeX">\frac{1024}{671}</formula> = <formula notation="TeX">\frac{3}{2}</formula> × <formula notation="TeX">\frac{2048}{2025}</formula><space dim="horizontal"/>1,5161 ..</item><lb/> <item><formula notation="TeX">\frac{243}{160}</formula> = <formula notation="TeX">\frac{3}{2}</formula> × <formula notation="TeX">\frac{81}{80}</formula><space dim="horizontal"/>1,5187 ..</item> </list><lb/> </div> </div> </div> </body> </text> </TEI> [54/0088]
[FORMEL] = [FORMEL] × [FORMEL] oder [FORMEL] × [FORMEL] ‒ ‒ 1,1180 ..
[FORMEL] = [FORMEL] × [FORMEL] oder [FORMEL] × [FORMEL] ‒ ‒ 1,1180 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,152,
[FORMEL] = [FORMEL] × [FORMEL] 1,1377 ..
[FORMEL] = [FORMEL] × [FORMEL] oder [FORMEL] × [FORMEL] ‒ ‒ 1,0986 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,1390 ..
Anſtatt der kleinen Terz:
[FORMEL] = [FORMEL] × [FORMEL] 1,1851 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,1925 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,1924 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,1865 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,1718 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,215.
Anſtatt der großen Terz:
[FORMEL] = [FORMEL] × [FORMEL] 1,2656 ..
Ward ſchon von den Alten haͤufig gebraucht, und Ditonus genennt.
[FORMEL] = [FORMEL] × [FORMEL] 1,2641 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,2578 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,28.
Anſtatt der Quinte:
[FORMEL] = [FORMEL] × [FORMEL] 1,4814 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,4907 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,4906 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,5161 ..
[FORMEL] = [FORMEL] × [FORMEL] 1,5187 ..
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Zitationshilfe: | Chladni, Ernst Florens Friedrich: Die Akustik. Leipzig, 1802, S. 54. In: Deutsches Textarchiv <https://www.deutschestextarchiv.de/chladni_akustik_1802/88>, abgerufen am 16.07.2024. |