 |
Welcome to the Piano World Piano Forums
Over 3 million posts about pianos, digital pianos, and all types of keyboard instruments.
Over 100,000 members from around the world.
Join the World's Largest Community of Piano Lovers
(it's free)
It's Fun to Play the Piano ... Please Pass It On!
|
|
|
|
69 members (Burkhard, apianostudent, Carey, Bellyman, AlkansBookcase, accordeur, akse0435, Barry_Braksick, 11 invisible),
1,858
guests, and
300
robots. |
|
Key:
Admin,
Global Mod,
Mod
|
|
|
|
Joined: Mar 2002
Posts: 111
Full Member
|
OP
Full Member
Joined: Mar 2002
Posts: 111 |
In the anthology “More Giants of Jazz Piano” there is an arrangement of A Foggy Day by Gershwin. There is the notation 8va---- followed by 15 ma----. I know 8va means an octave higher than written, but what does 15 ma mean? Could it mean to be played 15 steps higher than written, and if so why not 16 or 2x8,which would leave the note name the same?
|
|
|
|
|
Joined: Dec 2001
Posts: 306
Full Member
|
|
Full Member
Joined: Dec 2001
Posts: 306 |
8va is short for the Italian "ottava" meaning "eighth" - so you play an eighth (an octave) above the written pitches.
15ma is short for the Italian "quindicesima" meaning "fifteenth" - so you play a fifteenth (two octaves - don't count the middle note twice!) above the written pitches.
16, by the way, would be incorrect, as a sixteenth above C is a D. Adding intervals that way doesn't work. Think about it, two 2nds make a 3rd: C - D, D - E. (In other words, in the land of intervals, 2+2 does not equal 4!)
|
|
|
|
|
Joined: Dec 2001
Posts: 3,919
3000 Post Club Member
|
|
3000 Post Club Member
Joined: Dec 2001
Posts: 3,919 |
It arises from the fact that zero equals one!
(That is, a unison means no difference.) Every other added octave above the first is seven more, numberwise.
There is no end of learning. -Robert Schumann Rules for Young Musicians
|
|
|
|
|
Joined: Jul 2001
Posts: 3,981
3000 Post Club Member
|
|
3000 Post Club Member
Joined: Jul 2001
Posts: 3,981 |
Originally posted by Palindrome:
It arises from the fact that zero equals one! Well, an old math teacher of mine showed us how to make 1=2. There was just one flaw in the whole thing. We turned the numbers into variables and started adding, subtracting, multiplying, and dividing, and if you follow it through, you see that it eventually gets to a number divided by 0. Its IMPOSSIBLE to divide anything by zero!!! Which just went to prove the whole equation wrong. 1 does not = 2. Took us (the students) a while to figure that one out though!!!
|
|
|
|
|
Joined: Apr 2002
Posts: 646
500 Post Club Member
|
|
500 Post Club Member
Joined: Apr 2002
Posts: 646 |
That reminds me of this algebraic trick:
1 = 1
1 = 1 + 0 + 0 + 0 + ...
1 = 1 + (-1+1) + (-1+1) + (-1+1) + ...
1 = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + ...
1 = (1 - 1) + (1 - 1) + (1 - 1) + ...
1 = 0 + 0 + 0 + ...
1 = 0 (?!)
See if you can catch the flaw in this proof
"War does not determine who is right; only who is left."
|
|
|
|
|
Joined: May 2001
Posts: 36,803
Yikes! 10000 Post Club Member
|
Yikes! 10000 Post Club Member
Joined: May 2001
Posts: 36,803 |
Originally posted by StanSteel:
That reminds me of this algebraic trick:
1 = 1
1 = 1 + 0 + 0 + 0 + ...
1 = 1 + (-1+1) + (-1+1) + (-1+1) + ...
1 = 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + ...
1 = (1 - 1) + (1 - 1) + (1 - 1) + ...
1 = 0 + 0 + 0 + ...
1 = 0 (?!)
See if you can catch the flaw in this proof Is this the pianoforum or did I accidentally log onto the nctm(national council of teachers of mathematics) website? (I teach math for a living but play piano for enjoyment)
|
|
|
|
|
Joined: Jan 2002
Posts: 9,798
9000 Post Club Member
|
|
9000 Post Club Member
Joined: Jan 2002
Posts: 9,798 |
You dropped a 1 from the third equation in the fourth equation or, more precisely, you truncated the series differently in these two equations.
Better to light one small candle than to curse the %&#$@#! darkness. :t:
|
|
|
|
|
Joined: Apr 2002
Posts: 646
500 Post Club Member
|
|
500 Post Club Member
Joined: Apr 2002
Posts: 646 |
You got it JBryan That infinite series is diverging. An infinite series can only be rearranged if it is converging. Thanks for your interest 
"War does not determine who is right; only who is left."
|
|
|
|
Forums43
Topics223,390
Posts3,349,260
Members111,633
| |
Most Online15,252
Mar 21st, 2010
|
|
|
|
|
|
|
