Natuurkunde po powerpoint

May 15, 2011Download as PPTX, PDF0 likes649 views

Maartje Meekes

1.IInleidingGemeenschappelijke interesse: muziekHarmonieTrillingen, frequenties, periodenPiano  twee- en drieklanken

2. Onderzoeksvraag + 3. HypotheseWat is de natuurkundige oorzaak voor wat wij harmonisch of niet harmonisch vinden klinken?Snelheid periodes kruisen  harmonisch of niet harmonisch (‘vals’)Toetsen naast elkaar niet harmonisch  frequenties te dicht bij elkaarGrond- en boventonen

4. Werkplan/onderzoeksmethodeVerdiepen in onderwerpVideometen: tabel + grafiekC, E en G apart  C-akkoordC en Cis apart  C + CisFunctie ‘schatting’: b  T + f

Benodigde informatie & formules (tot conclusie)Een octaaf hoger: f verdubbelt12 delen: witte + zwarte toetsenHalve en hele tonenT = 2π / b & 1 / T = fVerhouding berekenen tussen tonen Breuk  grafieken tekenen Kruisen van perioden

Berekening frequentie b = 3,276052De periode van C bedraagt dus : 2π / b = 1,92 ms = 1,92 . 10-3 sTrillingstijd (T) = 1,92 . 10-3 sDan is de frequentie van C dus: f = 1 / T = 521,4 Hz

Berekening verhoudingenf(C) / f(E) = 541,2 / 651,8 = 5 / 6f(C) / f(G) = 541,2 / 782,1 = 2 / 3f(C) / f(Cis) = 1042,2 / 1147,6 = 15 / 16

6. ConclusieC:E 5:6 - C:G 2:3 - C:Cis 15:16Gelijkende golven: dissonantTussen C’s: optimaal  tussen grondtoon en boventoon‘vals’  twee tonen kruisen pas laat  klinken ‘naast elkaar’

7. DiscussieAchtergrondgeluidGeen volledig zuivere toonladder (piano)Functie ‘schatting’ Verbetering vervolgonderzoek:Meer metingen geluidsdichte ruimte

ConclusieHypotheseToonhoogte  eigen frequenties  periodesMeest linkse van samenklank: grond Boventoon is octaaf hoger.Geen ‘vals’ op pianoPeriodesLinks grondtoon, boventonen 2 toetsen verderToetsen naast elkaar vals

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Natuurkunde po powerpoint

1. 1.IInleidingGemeenschappelijke interesse: muziekHarmonieTrillingen, frequenties, periodenPiano  twee- en drieklanken

2. 2. Onderzoeksvraag + 3. HypotheseWat is de natuurkundige oorzaak voor wat wij harmonisch of niet harmonisch vinden klinken?Snelheid periodes kruisen  harmonisch of niet harmonisch (‘vals’)Toetsen naast elkaar niet harmonisch  frequenties te dicht bij elkaarGrond- en boventonen

3. 4. Werkplan/onderzoeksmethodeVerdiepen in onderwerpVideometen: tabel + grafiekC, E en G apart  C-akkoordC en Cis apart  C + CisFunctie ‘schatting’: b  T + f

4. Meetinstrumenten

5. Benodigde informatie & formules (tot conclusie)Een octaaf hoger: f verdubbelt12 delen: witte + zwarte toetsenHalve en hele tonenT = 2π / b & 1 / T = fVerhouding berekenen tussen tonen Breuk  grafieken tekenen Kruisen van perioden

6. 5. OnderzoeksgegevensC

8. E

10. G

12. CEG

13. C (octaaf hoger)

15. Cis

17. CCis

18. C-akkoord

20. C en Cis

22. C-akkoordC en Cis

23. Vergelijk getekende grafieken

24. Berekening frequentie b = 3,276052De periode van C bedraagt dus : 2π / b = 1,92 ms = 1,92 . 10-3 sTrillingstijd (T) = 1,92 . 10-3 sDan is de frequentie van C dus: f = 1 / T = 521,4 Hz

25. Berekening verhoudingenf(C) / f(E) = 541,2 / 651,8 = 5 / 6f(C) / f(G) = 541,2 / 782,1 = 2 / 3f(C) / f(Cis) = 1042,2 / 1147,6 = 15 / 16

26. 6. ConclusieC:E 5:6 - C:G 2:3 - C:Cis 15:16Gelijkende golven: dissonantTussen C’s: optimaal  tussen grondtoon en boventoon‘vals’  twee tonen kruisen pas laat  klinken ‘naast elkaar’

27. 7. DiscussieAchtergrondgeluidGeen volledig zuivere toonladder (piano)Functie ‘schatting’ Verbetering vervolgonderzoek:Meer metingen geluidsdichte ruimte

28. ConclusieHypotheseToonhoogte  eigen frequenties  periodesMeest linkse van samenklank: grond Boventoon is octaaf hoger.Geen ‘vals’ op pianoPeriodesLinks grondtoon, boventonen 2 toetsen verderToetsen naast elkaar vals

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