Rainy rock day
learning songs #
I have Crossroads by Cream in my head, I try to learn it. Using the VoiceMemos on mac, and slowing the song down seems to work. The effect of slowed down voice seems cool. I compare the snippet of singing I record, to original recording.
- I don't know how to add VoiceMemos to this page.
MVPs can take a form of a simple image.
It is challenging to remember the exact pattern of the singed song snippets. The emphasis, volume, forte/piano of sound can be altered in singing. This is a form of transcription, which I wanted tx§o practice and learn. When we learn riffs from musical notation, we can practice the mental recall of the symbols, similar to how Barbara Arrowsmith students visually recall symbols written in different languages. After practicing this, I connect the possible musical notation of the voice I transcribe.
I can now, having two recorded snippets, revisit the first, and imitating my own voice, connect the two. "Wow, I have a voice just like me." 😌
I started seeing melodies as patterns, and I guess this connects to maths as mathematics is the science of patterns.
learning calculus #
I'm happy, because from Martin Gardener in Calculus Made Easy I understood a little bit of the Zeno's Paradox. If we move a pawn accross a board covering half the distances, and we stop for a second after each step, we never reach the other side of the board. If we don't stop, but move half the distances, in half times, eg 1 step in 1 second, half step in half a second, then in 2 seconds we reach the other side. Awesome! This is mind bending, for such a simple idea.
Zeno's Achilles and the Tortoise on Numberphile
What does it mean, that partial sums of the series 1/2 + 1/4 + 1/8 + 1/16 + ... = 1 are generated by the discrete function 1-(1/(2^n)), where n takes the integral values 1,2,3,4,5...?
Instead of letting this be not understood I asked on Discord. Often I read something like this, and I move on with an acceptance of not understanding it. This time I thought I could ask, and find out what this meant. Plugging in n into 1/(2^n) we get the nth term, and subtracting this from 1 we get the sum of the series up to that nth term. The partial sum, since it is an infinite series.
Rick Rubin talks about how everything we do can be done as a journal entry, which gives a lighthearted sense to doing things.
I realised, from a different perspective, from this image, what 7/8, 15/16, 31/32 etc mean.
I started reading Wheels and Other Mathematical Amusements - Martin Gardner, I love this book already. I didn't know mathematics was this cool, I am delighted again and again, at the lighthearted perspective maths gives to the world.
learning a bar of blues #
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