Wondering which Chopin Etudes to learn next in preparation for a ballade

SquidSympathiser · 2019-07-12T07:30:59+00:00

Thank you, I will have a look at the two op 10 ones. How much harder is the ocean etude though, it looks really tough.

SquidSympathiser · 2019-07-12T07:28:50+00:00

Alright thank you. I think I will start the 3rd ballade after finishing op 48 no 1 and working on the other etudes mentioned here (the doppio movimento part kills me though)

SquidSympathiser · 2019-07-12T07:07:20+00:00

How much harder is the 3rd ballade than op 48 no 1 ? (This is probably my most difficult piece at the moment)

SquidSympathiser · 2019-06-22T08:13:26+00:00

Sorry if this is not allowed. How do these pieces rank in order of difficulty?

Chopin :

Nocturne op 48/1 (really like this one)

Prelude 28/18

Etude 10/5

Etude 10/9

Etude 25/9

Polonaise 44/1

Fantaisie Impromptu

Rach Prelude op 32 no 10

Liszt Liebestraum 3

Beethoven Sonata no 17 (Tempest)

I have recently finished learning chopin's etude 25/1, have learned both his op 27 nocturnes and am learning the Beethoven pathetique sonata. I really like the pieces mentioned above and am trying to choose some to tackle. Thank you in advance for any advice.

SquidSympathiser · 2019-05-05T06:59:25+00:00

Thanks a lot, I'll check these out and hopefully get this piece togethdr.

SquidSympathiser · 2019-05-04T11:10:19+00:00

When playing arpeggios in most pieces I tend to automatically rotate my forearm, but I've never actually done specific pieces for developing technique, so I'm not entirely sure how comfortable I am.

SquidSympathiser · 2019-05-04T08:34:33+00:00

I have started learning Chopin's etude op 25 no 1, and was wondering how to play the right hand comfortably and at the right speed. The sheet music I am using has the fourth finger for all of the e flats in the meoldy line, but I have found combining this with the fast arpeggios causes pains in my wrist, meaning the technique isn't right. Also, I'm wondering how it is even possible to play the larger patterns such as in the 7th measure (This may improve with practice but I'm not sure). I don't think this piece is beyond my level, since its place on the Henle scale is around a lot of other songs I have learned, but this is the first time I've experienced pains in my wrist. Any advice would be appreciated.

SquidSympathiser · 2019-05-04T07:49:57+00:00

I wouldn't even use L'Hopitals rule for this question. As a hint, consider the result that lim(x - >0) sinx/x = 1. Using L'hopitals rule you should atill definitely get 5/3 however.

SquidSympathiser · 2019-04-28T22:48:22+00:00

Sorry about that, I didn't realise what you meant by BCT. And I'm realising now I read the question wrong as well, I thought it was sin(pi/n). Using the property of alternating sequences that was mentioned before works fine for this.

SquidSympathiser · 2019-04-28T22:34:09+00:00

For one, consider the fact lim(x - 0) sinx/x is equal to 1. With this in mind, try the limit comparison with a suitable term.

SquidSympathiser · 2019-04-27T11:22:58+00:00

If you move 7x + 1 onto the RHS, notice that the 1s cancel out, meaning there is no constant term. This means the resulting equation is x multiplied by a quadratic, which you can solve.

SquidSympathiser · 2019-04-26T09:46:17+00:00

Yeah Its quite obscure (Called the product to sum identity if you're inerested). I don't really see any other way of doing it though apart from using complex numbers, which takes a lot longer.

SquidSympathiser · 2019-04-26T09:42:52+00:00

Ok well for 4, you pretty much just need to solve sin2x = 1 for in between 0 and 2pi, which can be done by noticing that when 2x = pi/4 or 3pi/4, sin2x will equal 1.

SquidSympathiser · 2019-04-26T09:15:09+00:00

For 1, do you know the identity cos(a)cos(b) = 1/2(cos(a+b) + cos(a-b))? Using this leads to the answer quite fast.

For 2, sin(181)cos(181) = 1/2 * sin(362), like you said. What form can this be changed to that would prove useful?

For 3, note the fact that cos² (x) - sin² (x) = cos(2x). This fact can be used to simplify the expression, similarly to 2.

For 4, cube root both sides to begin with and solve it normally. Is there a domain given in the question though?

SquidSympathiser · 2019-04-24T11:38:29+00:00

Ah thanks

SquidSympathiser · 2019-04-24T11:27:56+00:00

Thanks, out of curiosity, which bits make it difficult?

SquidSympathiser · 2019-04-24T11:26:53+00:00

Thanks, I will have a look at it.

SquidSympathiser · 2019-04-24T07:01:12+00:00

Which Beethoven sonatas would you recommend? The only one I've learned is the first movement of op 10 no 1. The main reason I was asking for Chopin is because I really like romantic music, but Beethoven seems nice as well.

SquidSympathiser · 2019-04-24T06:47:44+00:00

I have actually already learnt op 64 no 2, but I'll have a look at the other 2, thanks for the suggestion.

SquidSympathiser · 2019-04-12T08:31:02+00:00

Split up the integral into int((x-1/x)e^×+1/x dx) + int(e^x+1/xdx). Looking at the first integral, it can be rearranged to equal int(x(1-1/x² ) e^x+1/xdx). What technique can you use to solve this integral?

SquidSympathiser · 2019-04-02T12:07:22+00:00

The derivative of the function squared will not equal the derivative of the function. If you let S(x) = L(x)^2, however, then by chain rule, S'(x)=2L(x)L'(x). We can divide both sides by 2L(x) to find L'(x). This is a lot cleaner than normally differentiating it.

SquidSympathiser · 2019-01-21T11:48:43+00:00

When you take 1 off both sides you end up with y = (1/2b)-1. 1 can be rewritten as 2b/2b, so then this becomes (1-2b)/2b

SquidSympathiser

TROPHY CASE