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In the pipe organ example, why do you get all of the other overtones? A note with fundamental 3x will produce overtones 6x, 9x, 12x, etc. So, we're still missing some I think? Also - is there a formula for the relationship between a pipe's length and frequency for a pipe organ? I've seen the formulas for an open and closed pipe, but it doesn't quite match up with 16.4 Hz and 32 ft, so I'm guessing that the design of a pipe organ is more complicated... but that the inverse relationship between length and frequency still hold?

Bergnaum Tunnel

Konopelski Islands

I need your lectures

Excellent series! I thought the third part was especially informative. It'd be great if this was available in print form.

Loved the fast overview - will have to listen to presentation many times to capture the examples and listen to them in context. Thanks for this.

The lesson begins with a deceptively simple introduction. But very soon into the video, Dr. Berkowitz and talented musicians from the VSO School of Music demonstrate how straightforward mathematical underpinnings of rhythm define the wonderfully varied musical world we enjoy every day. Well done!

Is there a link to listen to the 4 week session on Mondays?

I will watch this for sure. However you should realize that Tonal Harmony is invalid and I hope Tonal Theory (and its horrible Roman Numeral notation) are not relied on as justification for any conclusions.

Where may I purchase music for this arrangement?

Good job!👏

very nice!👋

年々成長している子供たちのピアノの演奏を聴くのがとてもいいです

Wow

Blimey! I thought that the Danish National was good - but this is really excellent!

AMAZING!!!!!! BEAUTIFUL!

Very nice! In which year was this ensemble established?

That pianist at 1:37:00 stole the show for me. Kids got a bright future.

"You've saved me.... why?"

Wonderful!

Fantastic work, folks! I love to see and hear you all doing so well learning and playing this music. Thanks Mark C!

Yiyi Han is my best friend 😊

Congratulation to Chloe and all the students! Wonderful performances!

hi I am in the video

What a nice thing to do guys !

Bravi ma non bravissimi

Congratulations to you all!

Awesome

Woot woot! Can't wait!!

Happy Chinese New Year

Woah. That first kid could be the next Bublé. What a voice!

Isaac, the whippets and I are listening. Just lovely!! Thank you

Dear Emily, watching your performance has been life changing. I have thought about it thoroughly and the meaning has become very clear. At first the meaning was a little obscured, but you have showed me reality. After enduring all one hours of pain to my ears after watching this, I finally understand the infinite, and am now at one... As the great Madara Uchiha once said: " Wake up to reality. Nothing ever goes as planned in this world. The longer you live,the more you realize that only pain, suffering and futility in this reality. Listen to me... In this world, wherever there is light, there are always shadows. As long as there is a concept of victory, the vanquished will also exist. The selfish desire for peace give rise to war. And hatred is born in order to protect love. These are all nexuses, causal relationships that cannot be separated. Normally, that is."

Absolutely amazing talent. So proud of our Isaac and all of the performers that worked so hard for this day. Bravo Bravo

Oma and Opa are watching!! So nice to see a whole concert again!! (Albeit virtual)

This is going to be awsome. Isaac, Granny is watching.❤️😘

Thank you so much everyone! Beautiful, absolutely beautiful! Glory to God for your talents!

This is fantastic! Good job everyone!