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Chladni, Ernst Florens Friedrich: Die Akustik. Leipzig, 1802.

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= x oder x - - 1,1180 ..
= x oder x - - 1,1180 ..
= x    1,152,
= x    1,1377 ..
= x oder x - - 1,0986 ..
= x    1,1390 ..

Anstatt der kleinen Terz:

= x    1,1851 ..
= x    1,1925 ..
= x    1,1924 ..
= x    1,1865 ..
= x    1,1718 ..
= x    1,215.

Anstatt der großen Terz:

= x    1,2656 ..

Ward schon von den Alten häufig gebraucht, und Ditonus genennt.

= x    1,2641 ..
= x    1,2578 ..
= x    1,28.

Anstatt der Quinte:

= x    1,4814 ..
= x    1,4907 ..
= x    1,4906 ..
= x    1,5161 ..
= x    1,5187 ..
= × oder × ‒ ‒ 1,1180 ..
= × oder × ‒ ‒ 1,1180 ..
= ×    1,152,
= ×    1,1377 ..
= × oder × ‒ ‒ 1,0986 ..
= ×    1,1390 ..

Anſtatt der kleinen Terz:

= ×    1,1851 ..
= ×    1,1925 ..
= ×    1,1924 ..
= ×    1,1865 ..
= ×    1,1718 ..
= ×    1,215.

Anſtatt der großen Terz:

= ×    1,2656 ..

Ward ſchon von den Alten haͤufig gebraucht, und Ditonus genennt.

= ×    1,2641 ..
= ×    1,2578 ..
= ×    1,28.

Anſtatt der Quinte:

= ×    1,4814 ..
= ×    1,4907 ..
= ×    1,4906 ..
= ×    1,5161 ..
= ×    1,5187 ..
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            <p> <hi rendition="#c"> <hi rendition="#g">An&#x017F;tatt der kleinen Terz:</hi> </hi> </p><lb/>
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              <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/>
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            <p> <hi rendition="#c"> <hi rendition="#g">An&#x017F;tatt der großen Terz:</hi> </hi> </p><lb/>
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              <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>
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            <p>Ward &#x017F;chon von den Alten ha&#x0364;ufig gebraucht, und <hi rendition="#g">Ditonus</hi> genennt.</p><lb/>
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              <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>
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            <p> <hi rendition="#c"> <hi rendition="#g">An&#x017F;tatt der Quinte:</hi> </hi> </p><lb/>
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              <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>
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[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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URL zu diesem Werk: https://www.deutschestextarchiv.de/chladni_akustik_1802
URL zu dieser Seite: https://www.deutschestextarchiv.de/chladni_akustik_1802/88
Zitationshilfe: Chladni, Ernst Florens Friedrich: Die Akustik. Leipzig, 1802, S. 54. In: Deutsches Textarchiv <https://www.deutschestextarchiv.de/chladni_akustik_1802/88>, abgerufen am 18.12.2024.