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*Order of Sharps* Fat Cats Go Down Alleys Eating Bread *Order of Sharp Key Signatures* Go Down And Eat Breakfast First Charlie *Order of Flats* BEAD Greatest Common Factor *Order of Flat Key Signatures* Flat Boys Eat And Do Grow Chubby Example: D Flat Signature has 5 flats, and they are.. “B, E, A, D, and G” And of course, all this applies to major key signatures. Not minor.

thanks Mark. Beautiful explanation. I would only add at the end, along with 1: e, 2: pi, 3: sin, cos, 4: i a 5th concept: the concept of 0 which is another great math concept.

Thank you ❤ We owe him big time

Wow your video was also pretty clever compression of beautifully presented information. Btw could you name the Axis physical quantities and their relative units next time that would be really nice for me

This man is brilliant and needs his own TV show!!

this is the best video i've watched and i watched it in normal speed! i've watched all other videoes in 2x speed. i especially like the treadmill you used. lol. you are a genius.

I am new to music, Are you using the term "key" to mean "scale" ?

It’s amazing that they had vision Transformers back then creating the portraits of Fourier as a child, the children, and the soldiers.

Nice visualization.

Holy Fourier this is a brilliant video!

Do you have a video discussing different tuning systems: Pythagorean, just, equal temperament,...?

I am a musician and this is one of the best explanations I have ever seen for the circle of 5ths!

interesting

really good

e^(tau i)=1

Wonderfully explained concepts. Everything from the thorough explanations to the visuals are clear. Thank you.

DO NOT USE BLUEJEAN IS SO DISGUSTING. YOU ARE NOT A BOY

It's the root of -1 BY DEFINITION.

This is the best explanation I have found on youtube. Thank you so much.

I find it crazy that in such old times they had that kind of deep mathematics. Like how do they know without geogebra or something 😭

I tuoi video sono fatti benissimo, se posso fare una domanda, cosa sono i frequency bins?

this explanation is insane, even a grade 9 student can understand.

this has to be the clearest explanation of what convolution is..

Do a "run-down" stuff from this video onto the Global varients of any worldwide country genre and Ottoman Turkish/Turkish Sufi or mevlevi songs, to see how you can be correct or fix issues and i'll challenge everyone from 12 tone, O'Neely the youtube channel guy?

Loved this video, it helped me a lot, however, when I played my keyboard along with your song at the end, I had to play your song in 'F' to match the pitch from your song you said you were playing in 'C'. So I had to re-diagram your C scale alongside my F scale. Your 'confirmation' passage also included a minor third you failed to mention, so your modulation turned out to be confusing. It's OK, I finally figure it out. Thanks again for the valuable information.

so is your video...

Why is the picture that you showed of sinusoids so dense? After all sinusoid should be an easy 2D picture?Correct me if i am wrong and kindly help me enhance my understanding

Wonderful explanation. I could have used this a few decades ago during my first class in Quantum Physics, when the professor wrote out Euler's Formula without any explanation. I couldn't understand how raising a number to a constant could create cosine and sine functions.

Nice Explanation. I m still not getting idea on Synthesis part. If some frequency exists in signal but how we can determine when the frequency component started with what phase and when it ended with what phase. How reconstruction works.

I am okay with understanding i^2 = -1. But how does this imply i = sqrt(-1)?

Pretty interesting. I studied all of this in college, but never really understood it. You might also have mentioned that e (I did not know that Euler named the symbol after himself) is the base of natural logarithms. Or is that the subject for another video?

“I used to think math was no fun ‘Cause I didn’t know how it was done But Euler’s my hero ‘Cause I now know that zero Equals e to the j pi plus 1” - Paul J. Nihan

Holy cow! I didn’t think I can ever start to understand this, but thanks to you and your video that has changed!

Great vid

Hey, I got an important message: Jesus Christ is God in human form. He loves you, and he wants to give you peace, purpose & fulfilment, just as he did with me. Repent (change your mind on and turn from the practice of sin/moral wrongdoing - God will help you with this if you let him), believe the gospel of Christ (the perfect life he lived, the brutal death he died - for our sins btw - his burial and his resurrection after 3 days), be baptised in his name - the name of Jesus Christ - and follow him, as he does want a personal, spiritual relationship with us all - to love us and protect us, like a father would for his children. Apologies for this unexpected mini-essay, but death comes like a thief in the night and takes everyone by storm because people nowadays push it to the side and focus on the pleasures of this broken world. Deep down we all know that there is meaning in life, and that we are going to be held accountable for our actions afterwards - hence why we have a conscience, and why guilt and shame are a part of the human experience. Yet, God (the creator of reality btw), out of his love and mercy, has shown us the way through death and into eternal life, so that we don’t get punished for the evil that we all too often commit. He doesn’t want any of us to experience eternal death, as he made us all with EXTREME value, hence why he commands us all to repent and believe in what his son has done for us - as only he’s taken the death penalty that we deserve and no one else. May God bless you all 🙏🏾

Who is this guy...😂

Uncle Roger of engineering 😂

Subscribed👍🏾

Woww thanks, but what is difference Fourier and Z transform?

aliasing! aliasing propagates phasors on the spectra when the transformation convolves impulses through them

not only teaching but replying to all the comments is a nice thing.....The LORD is great

at 5:02 what if the test signal isn't in phase with the signal? Do you sweep the signal from 0 to 2pi to see if it matches? Does that mean any algorithm implementing this would at least be O(n^2)

Wow that’s great 2nd yea mech thanks u

An elegant and efficient explanation --👏😊.

Just ordered the book. Brilliant , brilliant brilliant 👏. Thanks so much.

sup

I just discovered this channel. I love that style of old tv shows that make sense, not that flashy "behold our 4D presentation and effects".