[ 6/30/2020 ] Labels: 4C2D.Resonance C
A typical resonance simulation for 4C2D( D 74Hz on C string ), the behavior is very similar to former studies of 4C4E(83Hz) and 4C0C(66Hz).
Left : Without endpin
Right: On floor, with Titanium rod endpin
Cello: Cello-1 (8-year-old)
120 times slower simulation, silent video
[ 6/15/2020 ] Labels: 80.AEH, 70.Solution
Left : Without endpin
Right: On AEH-011, with carbon endpin
Cello: Cello-1 (8-year-old)
70 times slower simulation, silent video
[ 6/11/2020 ] Labels: 4C0C.Resonance C
A typical resonance simulation for 4C0C(C 66Hz on C string, the lowest note on cello) was carefully studied by 70 times slower. The behavior was very similar to a former study of 4C4E(83 Hz).
For a C(66 Hz) down-beat given from strings, cello body(/top plate) resonates adopting 3 to 5 up-beats those are taking low angle vibration(:along a round slice direction ).
Just like an E(83 Hz) resonance, when a cello placed on the floor with endpin, the long endpin or prolonged height cannot keep rigorous up-beats no more, slightly delayed and shifted pitch brings endpin an 'interference beat'.
Consequently, cello body creates a new macroscopic single-beat along the height direction, reducing the round slice resonance and the amplitude instead.
チェロの最低音:C音(66Hz)の 70倍スローモーション-シミュレーションである。E音(83Hz)の場合とよく似ている。
C(66Hz)の場合、弦振動の頭打ち(1周期=15mS)に対してチェロの表板は、3～5ビートの裏拍を打ちながら共振している。エンドピン無しの場合もエンドピン装着時のいずれでも胴体の輪切り方向の振動を基調としている。
エンドピンを装着し床置きした場合、チェロの身長が伸びた形となるために、正確な裏拍を形成できなくなりエンドピンに1周期あたりに大きな 1ビートの「うなり」を生じ、縦伸び振動を生じていると考えられる。その一方で輪切り方向の(低角度の、楽器の音量に貢献する)響きが抑えられていると考えられる。
Left : Without endpin
Right: On floor, with 8mmD Metal rod endpin
Cello: Cello-1 (8-year-old)
70 times slower simulation, silent video
[ 5/31/2020 ] Labels: 4C4E.Resonance C
Cello body creates a new macroscopic single-beat along the height direction on the floor, at the same time, with muting the round slice resonance.
(全体としては身長方向に１ビートの縦振動を生みだしている)
Left : Without endpin
Right: On floor, with steel pipe endpin
Cello: Cello-1 (8-year-old)
160 times slower simulation, silent video
(same post: https://advancedendpinholder.blogspot.com/ 70h. E(83Hz) on C-string Simulation x160 slower)
[ 4/30/2020 ] Labels: 4C5F.Resonance C
F note on C-string(88Hz, 4C5F, bowing) Typical Resonance Simulation:
Cello body resonates taking a 2-beat for F(88 Hz). Endpin also resonates itself taking favorite beats according to each material/length with the cello body. As a result, the lower part of body seems to be repressed a little bit when placed on the floor.
(C線のF音、チェロ胴体は２ビートで共振しエンドピンは独自の共振ビートを取っている。その結果、胴体下部の振動が若干押さえられているように見える。)
[ 4/18/2020 ] Labels: 4C7G.Resonance C
G note on C-string(98Hz, 4C7G, bowing) Typical Resonance Simulation:
Cello body takes a single beat resonance in spite of various endpin environments.
G(98Hz) note seems to be the lowest frequency that cello body can resonate by a single swing.
(C線のG音、チェロが胴体全体を使って１ビートで共振できる最低音のようです。)
Cello: Cello-1 (8-year-old) 80 times slower, silent video
Reference post:
--> https://advancedendpinholder.blogspot.com/
--> 94..Resonance Direction-C
--> 94..Cello-1 on C(C-G) Resonance Direction and V/H-Ratio
[ 4/10/2020 ] Labels: 4C4E.Resonance C
E note on C-string(83Hz, 4C4E, bowing) Typical Resonance Simulation:
On cello's low notes(C - F#), down beats from C-string need to be added cello body's up beats and completed by. However the extended height of body by deployed an endpin misses ideal up beats and weaken the resonance amplitude.
(C線上のE、エンドピン装着によりチェロは裏拍をうまく刻めず結果として十分な共鳴を実現できていません)
Left : Without endpin
Right: On floor, with steel pipe endpin
Cello: Cello-1 (8-year-old)
70 times slower, silent video
Reference post:
--> https://advancedendpinholder.blogspot.com/
--> 94..Resonance Direction-C
--> 94..Cello-1 on C(C-G) Resonance Direction and V/H-Ratio
