72 II. 1.,,,,,,,,,,,, 2.,, ( ),,,,,,, (,,,,,,,,...,, 3.,,, ( ),,,,,,, y (, y ), t, y = sin t ( II )

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1 ,,,, I.,,,,,, (, 440 Hz,, ), ( 580BC 500BC ) ( ),,,,, (, ), 1636 ( ,,, ( ), ) ( ), 17,,,,

2 72 II. 1.,,,,,,,,,,,, 2.,, ( ),,,,,,, (,,,,,,,,...,, 3.,,, ( ),,,,,,, y (, y ), t, y = sin t ( II )

3 73 [2, p13], 440 ( ), 440 Hz, y = sin(440 2π t) ( t : ) 440 Hz,, ( ) 440 Hz (, ), : 880 Hz,, ( ( ), 880 Hz, 1636 = k ( ),, 1 2,, 2,, 1, x y y = 2 x

4 74 ( II ),, 1., (, y = 2 x ) 2., (, 16.5 cm ), 3., 88, ( ) 5 cm (, cm ),, 5 cm 2 7 = 640 cm = 6 m 40 cm!!, = k ( ),,,, 1 3, 32 = 9, ( ) 274 cm, 205 cm ( 640 cm 1 3 ), 3 2 = 9,,,,, ( ) (,,,,,,,, ),, Klavins Mod. 370 ( ) 303 cm, 27.5 Hz, Klavins Mod. 370, 1 ( ) ( [19, p39] ) 28 ( C1=32.7 Hz ) (, 3 1 ), 50 Hz, Gülsin Onay Klavins Mod , (, 1980, 2

5 ピタゴラス音律 75 満足できず ( 日本の湿度が理由 ), やむなくヤマハのピアノを使用したが, 演奏を行ったのは1 公演だけであり, 他の公演は全てキャンセル 怒った日本の招聘元がミケランジェリのピアノを差 し押さえるという事件が起こった ) の弾くコンサート グランドピアノ ( 1971 年のライブ録音だ が録音は極めて優秀 ) である ( 実際に聴き比べを行う 少し退屈そうにしていた学生が, 気持ち を集中させる en.htm より引用 注釈. 私見では, この2つのピアノは, ピアノ という同じ名称を持っているが, 響きはかなり 異なり, 同種の楽器とはとても思えない Klavins は, コンサート グランドピアノに比べ, 低い

6 76,, Klavins,, ( ),, Klavins,, (,,, 16 (, 1565 ), 14 ), Klavins Klavins, ( 4.,,,, ( music temperament ) (, ),,,,,,, ( scale ),,,,,,,, ( ),,,,,,, ( ),,,,,,, ( ) ( 1, 2 ) ( ), ( )

7 77,, ( church mode ) (, ( gregorian mode ) ),,,,,,, ,,,,,,, ,,,,,,, ,,,,,,, ,,,,,,, ,,,,,,, ,,,,,,, ,, 1.,, 1 ( : ), ( ),,, 2.,, ( ),,, 1, 8,,,,, 9 3., 440 Hz,,,,,,,,,,, ( 6 ) ( ). ( ) 440 Hz, ,

8 78,,,, Hz, 415 Hz, 422 Hz, Hz, 19,, Hz (,, ),, Hz (, ( ) 446 Hz ) 4.,,,,,,, 1,,,,,,,, 1525 (, ) 5. ( ), ( ) 1600, 19, 6.,,,, ( ), ( ), ( ), ( ),

9 79,, ( finalis ),,, ),,,,,,,, (, 8, 9 10,, 2 ), (, 5, 6 7 ) 7.,,,,,,,, 8.,, 6,,,, ( ), ( ) 20,,, Kawai ( ),,, (,

10 80,,, ( 1983 ),,,,,,,,

11 81, ( pentatonic scale ), 1 5,,,,,, (22323) ( 4 7 ), (, ),, ( ),,,,, 5 5 (1) (2),,,,, (23223), ) (,,,,,, (14214), (3),,,,, (23232), (4),,,,, (32232),, ( 2 6,,,,, (32232) ) (5),,,,, (41241),, ( 2 6 ) 5.,, (, ), 500,, 12,,,,, ( ), 1. ( ),

12 82 2.,, 3., 4. 16, 5., (,,,,,,,,,... 12,,, ( ), 2, 3, { } x : 1 2 < x < 1 ( ),,, 2 3,,, 2 3, 12, 2 (, 1 ), 1 (,,,, 2 ( ),, 1 2 ( ),,, 1 ( ), 2 (, 2 (, 1 2, 1 ), ( 1 ) (, 1 ), 2 2 3

13 83 ( 1, 2 1., 2., 2 3,, 20 3.,, 2 3, 3 2, 3 : 2, 1 2, 2 2, 2, 2 2 3, = = 4 9,, 3, ( 1 ) ( 1 2, 4 9,,,, ( = ) = 8 9 ( > 1 2 ) ( 3, 1 2 ( 7 ), 3,, 1, 2 5,, ( 2 12, ),,,,,, 3, 3, 3 2 3, = = ( > 1 2 )

14 84,, 4 ( n + 1 n, n, n 2 3, 1 2, n + 1,,, n n + 1,,, 1,, = = = = = = = = = = = = =

15 85, 13, , 13 13, 1 12,., 1, 2 m 3 n ( m, n: ) 1 (, m, n 2 m = 3 n ), 2 3,,,, , , , 12, (, ), 1 : 2 3 = 3 : 2 (, 3 ), 2 : 3 (, 2 ), (, ), = ,, : : 2.03, 3 : 2, 3 11 : 2 2 : , 2 : 3, ( 1 % 1/4 ) (,,, 9 10 )

16 86, 1 7,,,,,,,, ( ), ( 440 Hz ), ( ),,,,,,,, ( ),, ,,, 1, 2, 3,, 7,,,,,,,, ( ) = = = = = = , 1 5,,,,, (22323) 5.,,,,, ( ) ( ) ( ),, ( cent ) ( )

17 87, , X, Y x ( x 1, X Y ),, 2 ( II ) 1200 log 2 x, 1 : , 1200 log = = 100 ( ), 1 12, (, y = 2 x, 1 x 1, 12 y,, ),,,,,, (,,,, 3 ) ( ) = = = = = = = = = = = = = = , , , = = = , , , , 200

18 88,, ( ) ( ) ( ) ( ) ( ) ( ) ,, (,, 5 ( 2 3 ), ),,,, 13.69,,,,,, [10] (, ),,, 2,,,,,, 5 4, 2 3 ( 1 : 2 ),, , 5 700,,,,,,

19 89,,, 7,,,, 4 ( ),,,,,,, 5.,, ( harmonia : ),,,,,,,, ( musica : ),, 6, 800,,,, 7 ( Seven Liberal Arts ) ( ) 5. ( ) 6. ( ) 7. ( )

20 90 12,,, 7 15,,,., ( ) ( liberal arts ), 7,,,,,, 9, ( ), 12, 16,,, ( ),,,,, III., (,,,,,

21 91,,,,, sin,, 12,,,,,,,,,,,,,,,,,,

22 92,,,,,,,,,,,,,,,,,, 2500,,,,,,,,,,

23 93,,,,,,,,,,,,,,., ( ),, Klavins Piano,, [1],, 1999, [2],, 2009, [3],, 2007, [4],, 2010, [5],, 1999, [6],, 1979, [7],, 1964,

24 94 [8],,!!, 2009, [9],, 1999, [10],, , [11],, 2004, [12],, 2008, [13] ;, 17, 2008, [14],, 1999, [15],, 1970, [16],, 1977, [17] ; V. ( ), ;, ( ), /, 1998, [18], 1977, [19] C. Debussy, Complete preludes Books 1 and 2, 1989, Dover publications, Inc. [20] The Beatles complete scores, 1993, Hal Leonard Publishing Corportion and Wise Publications [21] Gülsin Onay live on Klavins Mod. 370, Klavins KM007 (CD) [22] Arturo Benedetti Michelangeli plays Debussy, Deutsche Grammophon (CD) [23] Gregorian Chant Gregorianischer Choral, Choralschola der Wiener Hofburgkapelle, P. Hubertt Dopf S.J., Philips 32CD-36 (CD)

訪問看護ステーションにおける安全性及び安定的なサービス提供の確保に関する調査研究事業報告書

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