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Explore the rich history of the piano, from Bartolomeo Cristofori's invention in 1709 to modern advancements like Erard's repetition action on grand pianos and Steinway's cast-iron string plate. Learn about the anatomy of a piano, including the interaction of strings and the soundboard, modes of vibration, and the importance of the piano case in vibration termination.
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II Acoustic Reality II.4.1 (M Sept 16) The Piano
Some History In 1709 harpsichord (cembalo) constructor Bartolomeo Cristofori in Florence invented the instrument, he called gravicembalo col piano e forte. Here an instrument built in 1720 at Metropolitan Museum of Art (sound_example_1)
Some History string The historical instrument’s action looks like this hammer (leather on wood) harpsichord action: key
An exploded grand piano sound board, spruce cast iron plate rim, maple
The action of a modern piano Have also Erard‘s repetition action on grand pianos!
The agraffe and the bridge terminate the free strings tuning pins
The pull forces for Cristofori‘s and for modern pianos 70N versus 830 Nper string total: 7,500 N versus210,000 N ~ 30 x more! Since 1855 (Steinway) need no more wooden, but cast-iron string plate, 160-180 kg
Where to hit the strings L d hammer
The soundboard (spruce), 6.5-9.5 mm, 4 modes (with Chladni figures) 49Hz 67Hz 89Hz 184Hz
Modes mobility = velocity/force without strings and plate fully equipped
The piano case/rim 80-90 mm150-200 kg maple or beech wood, important for massivetermination of vibration of the soundboard
The interaction of strings and soundboard string(s) exchange of energy bridge/soundboard strong coupling —> high energy transfer —> loud, fast decay weak coupling —> low energy transfer —> quiet, slow decay need „trade-off“!
Three directions of string and bridge vibrations vertical horizontal longitudinal
Longitudinal vibrations E1 = 41 Hz Sound Level Frequency sound_example_4, 5, 6, 7
Horizontal and vertical vibration for decay function strong coupling caused by vertical vibration, loud, energy transfer to bridge —> fast decay weak coupling —> low energy transfer —> quiet, slow decay the second is caused by horizontal vibration and coupling with second string
coupling with second string and mistuning uncouple second string strong energy exchange via bridge/soundboard