{"id":18906,"date":"2026-09-02T03:12:07","date_gmt":"2026-09-01T17:12:07","guid":{"rendered":"https:\/\/geoffreychen.com\/why-piano-fifths-cannot-all-be-pure\/"},"modified":"2026-09-02T03:12:07","modified_gmt":"2026-09-01T17:12:07","slug":"why-piano-fifths-cannot-all-be-pure","status":"publish","type":"post","link":"https:\/\/geoffreychen.com\/zh\/why-piano-fifths-cannot-all-be-pure\/","title":{"rendered":"\u94a2\u7434\u4e3a\u4ec0\u4e48\u4e0d\u80fd\u628a\u6240\u6709\u4e94\u5ea6\u90fd\u8c03\u6210\u7eaf\u4e94\u5ea6\uff1f"},"content":{"rendered":"<\/p>\n<p><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/public-assets.geoffreychen.com\/wordpress\/articles\/why-piano-fifths-cannot-all-be-pure\/cdf79b7d5a7a0a4dfabf4255.jpg?w=1140&#038;ssl=1\" alt=\"\u94a2\u7434\u4e3a\u4ec0\u4e48\u4e0d\u80fd\u628a\u6240\u6709\u4e94\u5ea6\u90fd\u8c03\u6210\u7eaf\u4e94\u5ea6\uff1f\" loading=\"lazy\"><\/p>\n<p>\u7eaf\u4e94\u5ea6\u7684\u9891\u7387\u6bd4\u662f3\u22362\uff0c\u542c\u8d77\u6765\u7a33\u5b9a\u800c\u878d\u5408\u3002\u82e5\u4eceC\u5f00\u59cb\u8fde\u7eed\u5411\u4e0a\u8c03\u5341\u4e8c\u4e2a\u7eaf\u4e94\u5ea6\uff0c\u97f3\u540d\u6700\u7ec8\u4f1a\u56de\u5230C\uff1b\u5728\u952e\u76d8\u4e0a\uff0c\u8fd9\u4e2a\u7ec8\u70b9\u4e5f\u5e94\u5f53\u7b49\u4e8e\u5411\u4e0a\u4e03\u4e2a\u516b\u5ea6\u3002\u4f46\u6570\u5b66\u5e76\u4e0d\u95ed\u5408\uff1a(3\/2)\u768412\u6b21\u65b9\u6bd42\u76847\u6b21\u65b9\u7565\u5927\uff0c\u5dee\u8ddd\u79f0\u4e3a\u6bd5\u8fbe\u54e5\u62c9\u65af\u97f3\u5dee\u3002\u82e5\u524d\u9762\u4e94\u5ea6\u5168\u90fd\u7eaf\u51c0\uff0c\u6700\u540e\u5c31\u5fc5\u987b\u628a\u8bef\u5dee\u585e\u8fdb\u67d0\u4e2a\u97f3\u7a0b\uff0c\u5f62\u6210\u660e\u663e\u96be\u542c\u7684\u201c\u72fc\u97f3\u201d\u3002<\/p>\n<p>\u5341\u4e8c\u5e73\u5747\u5f8b\u91c7\u53d6\u53e6\u4e00\u79cd\u529e\u6cd5\uff1a\u4fdd\u7559\u516b\u5ea6\uff0c\u628a\u5b83\u7b49\u5206\u4e3a\u5341\u4e8c\u4e2a\u76f8\u540c\u6bd4\u7387\u7684\u534a\u97f3\u3002\u8fd9\u6837\u6bcf\u4e2a\u4e94\u5ea6\u90fd\u6bd43\u22362\u7565\u7a84\uff0c\u8bef\u5dee\u4e0d\u518d\u96c6\u4e2d\u4e8e\u4e00\u5904\u3002\u4ee3\u4ef7\u662f\u9664\u4e86\u516b\u5ea6\uff0c\u5e38\u7528\u97f3\u7a0b\u90fd\u4e0d\u662f\u5b8c\u5168\u7eaf\u7684\uff0c\u5c24\u5176\u5927\u4e09\u5ea6\u4e0e\u7eaf\u5f8b\u5dee\u5f02\u8f83\u660e\u663e\uff1b\u6240\u5f97\u5229\u76ca\u5219\u662f\u5347D\u4e0e\u964dE\u53ef\u4ee5\u5171\u7528\u4e00\u4e2a\u7434\u952e\uff0c\u4f5c\u54c1\u80fd\u591f\u8f6c\u8c03\uff0c\u5404\u8c03\u4e5f\u5177\u6709\u540c\u6837\u7684\u97f3\u7a0b\u7ed3\u6784\u3002<\/p>\n<p>\u8fd9\u4e0d\u662f\u8bf4\u8c03\u5f8b\u5e08\u53ea\u9700\u6309\u516c\u5f0f\u8bbe\u5b9a\u9891\u7387\u3002\u771f\u5b9e\u94a2\u7434\u5f26\u6709\u521a\u6027\uff0c\u6cdb\u97f3\u4f1a\u7565\u9ad8\u4e8e\u7406\u60f3\u6574\u6570\u500d\uff0c\u4f4e\u97f3\u4e0e\u9ad8\u97f3\u7684\u516b\u5ea6\u901a\u5e38\u8fd8\u8981\u9002\u5ea6\u62c9\u5bbd\u3002\u5341\u4e8c\u5e73\u5747\u5f8b\u63d0\u4f9b\u7684\u662f\u7ec4\u7ec7\u539f\u5219\uff0c\u5177\u4f53\u8c03\u5f8b\u4ecd\u8981\u4f9d\u9760\u62cd\u9891\u3001\u7434\u5f26\u548c\u6574\u67b6\u7434\u7684\u58f0\u97f3\u6821\u6b63\u3002<\/p>\n<p>\u6f14\u594f\u8005\u5e94\u8be5\u542c\u89c1\u7684\uff0c\u4e0d\u662f\u201c\u94a2\u7434\u8c03\u4e0d\u51c6\u201d\uff0c\u800c\u662f\u8c03\u5f8b\u5728\u4e0d\u540c\u8981\u6c42\u95f4\u4f5c\u51fa\u7684\u9009\u62e9\u3002\u94a2\u7434\u7528\u6bcf\u4e2a\u4e94\u5ea6\u6781\u5c0f\u7684\u4e0d\u7eaf\uff0c\u6362\u6765\u6574\u5957\u952e\u76d8\u7684\u53ef\u901a\u884c\u6027\u3002\u548c\u5f26\u4e2d\u7684\u8f7b\u5fae\u62cd\u52a8\u56e0\u6b64\u4e0d\u662f\u7cfb\u7edf\u5931\u8d25\uff0c\u800c\u662f\u8fd9\u4e2a\u534f\u8c03\u65b9\u6848\u7559\u4e0b\u7684\u542c\u89c9\u7eb9\u7406\u3002<\/p>\n<p><a href=\"https:\/\/www.phys.unsw.edu.au\/jw\/tartini-temperament.html\" rel=\"nofollow\">https:\/\/www.phys.unsw.edu.au\/jw\/tartini-temperament.html<\/a><br \/><a href=\"https:\/\/www.animations.physics.unsw.edu.au\/jw\/Tartini-tones-temperament.html\" rel=\"nofollow\">https:\/\/www.animations.physics.unsw.edu.au\/jw\/Tartini-tones-temperament.html<\/a><\/p>\n<p>","protected":false},"excerpt":{"rendered":"","protected":false},"author":17897162,"featured_media":0,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_geoff_meta_description_en":"Twelve pure fifths do not close with seven octaves. 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