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Òåìà: Äàííûå î êâèíòîâîé ñïèðàëè
Âðåìÿ: 13.05.2007 18:10 |
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Õîòåëîñü áû ñîáðàòü â îäíîì òîïèêå äàííûå î êâèíòîâîé ñïèðàëè, íà êîòîðîé îñíîâàí Ïèôàãîðåéñêèé ñòðîé, à òàêæå îáñóäèòü ýòè äàííûå ñ ðàçëè÷íûõ òî÷åê çðåíèÿ. Íà÷àòü ëó÷øå âñåãî ñ êàðòèíêè (ïðèëàãàåòñÿ íèæå), çàèìñòâîâàííîé ñî ñòðàíèöû: http://www.skytopia.com/project/scale.html Òàì ñòðîèòñÿ îòðåçîê êâèíòîâîé ñïèðàëè ñëåäóþùèì îáðàçîì: îò çâóêà C îòêëàäûâàåòñÿ 12 êâèíò ââåðõ (ñ îêòàâíûìè ïåðåíåñåíèÿìè), è 12 êâèíò âíèç (òàêæå ñ îêòàâíûìè ïåðåíåñåíèÿìè. Ïîñëå 12 êâèíòîâûõ õîäîâ ââåðõ (ñ îêòàâíûìè ïåðåíåñåíèÿìè) ïîëó÷àåì çâóê ñè-äèåç, êîòîðûé íà êîììó âûøå çâóêà äî (ïðèíÿòîãî çà åäèíèöó) Ïèôàãîðåéñêàÿ êîììà = 531441/524288 ïðèáë. ðàâíî 1.01364 ïðèáë. ðàâíî 23.46 öåíòîâ. Ïîñëå 12 êâèíòîâûõ õîäîâ âíèç (ñ îêòàâíûìè ïåðåíåñåíèÿìè) ïîëó÷àåì çâóê ðå-äóáëü-áåìîëü, êîòîðûé íà êîììó íèæå èñõîäíîãî çâóêà äî. Ñëåäóåò îòìåòèòü, ÷òî êâèíòîâûå ñïèðàëè (è âñå, ÷òî ñ íèìè ñâÿçàíî) óæå ôðàãìåíòàðíî îáñóæäàëèñü â êîíöå òîïèêà “âîïðîñ íà çàñûïêó: ÷òî âûøå fis èëè ges?”: http://www.musicforums.ru/theory/browse_thread.php?bn=mfor_theory&thread=1175171357&replies=142 |
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Òåìà: Re: Äàííûå î êâèíòîâîé ñïèðàëè
Âðåìÿ: 13.05.2007 18:13 |
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Çíà÷èò, â ðåçóëüòàòå ïîñòðîåíèÿ îòðåçêà êâèíòîâîé ñïèðàëè, óêàçàííîãî â ïðåäûäóùåì ïîñòå, ïîëó÷àåì âñåãî 12 + 12 +1 = 25 çâóêîâ, è âñå îíè ðàçëè÷íû ìåæäó ñîáîé. Óïîðÿäî÷èì èõ ïî âûñîòå è ïîñìîòðèì, ÷òî èç ýòîãî ïîëó÷èòñÿ (ñì. ðèñóíîê íèæå) Íà ýòîì ðèñóíêå î÷åíü õîðîøî âèäíû îòâåòû íà âîïðîñû òèïà: “×òî âûøå: fis èëè ges?” è ò. ï., ïî êîòîðûì áûë ñïîð â http://www.musicforums.ru/theory/browse_thread.php?bn=mfor_theory&thread=1175171357&replies=142 |
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Òåìà: Re: Äàííûå î êâèíòîâîé ñïèðàëè
Âðåìÿ: 13.05.2007 18:15 |
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Ïåðâîíà÷àëüíîå ïðåäñòàâëåíèå î ïèôàãîðîâîì ñòðîå ìîæíî ïîëó÷èòü íà ñòðàíèöå: http://www.mushar.ru/Muzacust/muzac_3_35.html Òóò ñëåäóåò óòî÷íèòü: êàêóþ äðîáü ñâÿçûâàòü ñ ïèôàãîðåéñêîé êâèíòîé: 3/2 èëè 2/3? Çà êàæäûì èç âûáîðîâ -- ñâîÿ ïðàâäà. Ïðîöèòèðóþ îäèí ñâîé æå ïðåäûäóùèé ïîñò: “Åñëè äëèíà êàêîé-òî ñòðóíû  åñòü 2/3 îò äëèíû ñòðóíû A, òî ñòðóíà  áóäåò çâó÷àòü íà êâèíòó âûøå ñòðóíû À. Ïðè ýòîì, åñëè ÷àñòîòà êîëåáàíèé ñòðóíû  åñòü 300 ãö, òî ÷àñòîòà êîëåáàíèé ñòðóíû À (ïðè óêàçàííîì ñîîòíîøåíèè äëèí ñòóí À è Â) áóäåò â òî÷íîñòè ðàâíà 200 ãö. Ò. å. îòíîøåíèå ÷àñòîòû êîëåáàíèé ñòðóíû  ê ÷àñòîòå êîëåáàíèé ñòðóíû À áóäåò 3/2.” Êàæäûé èç àâòîðîâ ñòîèò íà êàêîé-ëèáî îäíîé èç ýòèõ òî÷åê çðåíèÿ. Ãàðáóçîâ, íàïðèìåð, íà öèòèðîâàííîé âûøå ñòðàíèöå http://www.mushar.ru/Muzacust/muzac_3_35.html ìûñëèò â òåðìèíàõ îòíîøåíèé äëèí ñòðóí, çíà÷èò, êâèíòà ó íåãî 2/3, â òàáëèöå äëÿ îòðåçêà êâèíòîâîé ñïèðàëè èç ïåðâîãî ïîñòà ïîäðàçóìåâàþòñÿ îòíîøåíèÿ ÷àñòîò, çíà÷èò, êâèíòà òàì = 3/2. --- Îòíîøåíèÿ ÷àñòîò ëó÷øå, ÷åì îòíîøåíèÿ äëèí ñòðóí â òîì ïëàíå, ÷òî êîãäà ìû óïîðÿäî÷èâàåì çâóêè ïî âûñîòå, ñîîòâåòñòâóþùàÿ ïîñëåäîâàòåëüíîñòü ÷èñåë òîæå âîçðàñòàåò. ----- Âîîáùå, äîñòàòî÷íî ïðîñòî ïåðåõîäèòü îò îäíîé òî÷êè çðåíèÿ ê äðóãîé. Ïðîñòî ìåíÿåì ìåñòàìè ÷èñëèòåëü è çíàìåíàòåëü äðîáè. Ñ ó÷åòîì ýòîãî ìû âèäèì, íàïðèìåð, ÷òî ïðèâîäèìàÿ Ãàðáóçîâûì äèàòîíè÷åñêàÿ ìàæîðíàÿ ãàììà ïèôàãîðîâîé íàñòðîéêè (ñì. ïðèëàãàåìûé íèæå ðèñóíîê; çåëåíûì öâåòîì ïîêàçàíû èíòåðâàëû ìåæäó çâóêàìè) íàõîäèòñÿ â ïîëíîì ñîãëàñèè ñ ÷èñëàìè â îòðåçêå êâèíòîâîé ñïèðàëè èç ïîñòà 2. |
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Òåìà: Re: Äàííûå î êâèíòîâîé ñïèðàëè
Âðåìÿ: 13.05.2007 18:18 |
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À òàêæå ìû âèäèì, ÷òî è ïðèâîäèìàÿ Ãàðáóçîâûì ôðèãèéñêàÿ ãàììà (ïî ñðåäíåâåêîâîé òåðìèíîëîãèè) â ïèôàãîðåéñêîì ñòðîå (ñì. ïðèëàãàåìûé íèæå ðèñóíîê; çåëåíûì öâåòîì ïîêàçàíû èíòåðâàëû ìåæäó çâóêàìè) òàêæå íàõîäèòñÿ â ïîëíîì ñîãëàñèè ñ ÷èñëàìè â îòðåçêå êâèíòîâîé ñïèðàëè èç ïîñòà 2. |
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Òåìà: Re: Äàííûå î êâèíòîâîé ñïèðàëè
Âðåìÿ: 15.05.2007 16:54 |
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ß íå çàìîðà÷èâàþñü â òàáëèöàõ...õîòÿ è èíòåðåñíî... Íåò âðåìåíè....èãðàòü íàäî... Ïîñòóïàþ ïðîùå(íå çíàÿ òàáëèöû óìíîæåíèÿ),ïî ïðèíöèïó "êàëüêóëÿòîðà": Ïåðåêëþ÷àþñü âî âðåìÿ èãðû,ñîãëàñíî òîíàëüíîñòÿì â àóòåíòè÷íûå,"÷èñòûå" ñòðîè(÷àùå â Âåðêìàéñòåð ñòðîé...)â Tyros2. |
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Òåìà: Re: Äàííûå î êâèíòîâîé ñïèðàëè
Âðåìÿ: 17.05.2007 12:17 |
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Äà Âû ýñòýò,áàòþøêà! Òîãäà Âàì ñþäà: Ñîíàíòîìåòðèÿ(Àíãëèéñêèé ïåðåâîä îðèãèíàëüíîãî òåêñòà âûïîëíèë Ìèõàèë Õðàìîâ.): http://www.geocities.com/sonantometry/documents/SonantometryRu_ArticleOfKhramov.htm |
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Òåìà: ofvgj
Âðåìÿ: 25.05.2007 01:31 |
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http://a28hosting.info/new-jersey-food-bank/ <a href="http://a28hosting.info/new-jersey-food-bank/">New jersey food bank</a> http://a28hosting.info/surrey-food-bank/ <a href="http://a28hosting.info/surrey-food-bank/">Surrey food bank</a> http://a28hosting.info/bay-area-food-bank/ <a href="http://a28hosting.info/bay-area-food-bank/">Bay area food bank</a> http://a28hosting.info/colorado-food-banks/ <a href="http://a28hosting.info/colorado-food-banks/">Colorado food banks</a> http://a28hosting.info/regional-food-bank/ <a href="http://a28hosting.info/regional-food-bank/">Regional food bank</a> http://a28hosting.info/food-bank-virginia/ <a href="http://a28hosting.info/food-bank-virginia/">Food bank virginia</a> http://a28hosting.info/ct-food-banks/ <a href="http://a28hosting.info/ct-food-banks/">Ct food banks</a> http://a28hosting.info/windsor-food-bank/ <a href="http://a28hosting.info/windsor-food-bank/">Windsor food bank</a> http://a28hosting.info/arkansas-food-bank/ <a href="http://a28hosting.info/arkansas-food-bank/">Arkansas food bank</a> http://a28hosting.info/food-bank-of-iowa/ <a href="http://a28hosting.info/food-bank-of-iowa/">Food bank of iowa</a> http://a28hosting.info/austin-food-bank/ <a href="http://a28hosting.info/austin-food-bank/">Austin food bank</a> http://a28hosting.info/vancouver-food-bank/ <a href="http://a28hosting.info/vancouver-food-bank/">Vancouver food bank</a> http://a28hosting.info/golden-harvest-food-bank/ <a href="http://a28hosting.info/golden-harvest-food-bank/">Golden harvest food bank</a> http://a28hosting.info/food-bank-phoenix/ <a href="http://a28hosting.info/food-bank-phoenix/">Food bank phoenix</a> http://a28hosting.info/angel-food-bank/ <a href="http://a28hosting.info/angel-food-bank/">Angel food bank</a> http://a28hosting.info/food-bank-location/ <a href="http://a28hosting.info/food-bank-location/">Food bank location</a> http://a28hosting.info/alaska-food-banks/ <a href="http://a28hosting.info/alaska-food-banks/">Alaska food banks</a> http://a28hosting.info/boston-food-bank/ <a href="http://a28hosting.info/boston-food-bank/">Boston food bank</a> http://a28hosting.info/florida-food-banks/ <a href="http://a28hosting.info/florida-food-banks/">Florida food banks</a> http://a28hosting.info/connecticut-food-bank/ <a href="http://a28hosting.info/connecticut-food-bank/">Connecticut food bank</a> | |
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