Devastating news about Clarence... He was an incredible composer and an incredible person, this is a huge loss.

Funny... I experimented with mixed number systems in a very different context in the past (25+ years ago by now... how time flies). I think I'll have to read Mr. Barlow's book :)

@marcevanstein

11 ай бұрын

It's a fascinating read, if occasionally a little more dense than necessary. It's available here: clarlow.org/wp-content/uploads/2016/10/On-MusiquanticsA4.pdf

This video needs so many more views. This concept clarified SO many things to me.

@marcevanstein

10 ай бұрын

Thank you! And tell your friends ;-)

Absolutely fascinating stuff. I'm so happy that you've dedicated so much of your time to make sure that his work, and your amendments to it, do not fizzle before they are truly considered and appreciated

I didn't know of him or his work until today, and I'm grateful to have been introduced by you. This was beautiful and inspiring work, and a lovely tribute.

This is so interesting, thank you. I didn't know Clarence but I'm sorry to hear we lost him, he sounds like an amazing person. I came here after watching your video about Fibonacci sequences. Subscribed!

It's like some kind of mixed-base (2,3)-adic numbering system, but also has a sense of being akin to the Fourier basis in mapping short timescales to large separations. I wonder if there is a way to define a general "metric" (not a real metric) that gives the distance in importance between notes given their sequence interpreted as a p-adic integer?

Nice explanation! RIP CB 😢

great video with some new (to me) concepts and a touching tribute to your teacher

Just stumbled over this via your tic-tac-toe video - this is such a compelling way to build a rhythmic hierarchy! Definitely going to play with the concept when I compose.

I just found your channel and I am soooo glad I did, all of the topics you cover in your videos are exactly the topics I am interested in: programming (in Python ofc), math and music. I am so glad to see someone is interested in that too because no one in my school was ever able to explain some things to me and everyone was confused why would I even be interested in it. Now I am on music academy studying music theory and I would like to make my thesis about music and science and your videos will totally be helpful for that. Thank youuu!!!

Sad to hear about Clarence's passing. His brilliant mathematical musical constructions (both his software and his music) have been an inspiration to me since I first heard his music in 1980s.

Beautiful tribute, thanks for sharing these engaging and enjoyable ideas

Also continued fractions. I bet some of the partial evaluations out there pick out "indispensabilities". Just a wild guess though... If you can find a continued fraction that represents your scheme, then you can extend it to infinity and find the "least" important moment in a measure.

this is SO cool

I implemented Clarence's indispensability formula from On Musiquantics in my composing software, The Transformation Engine. I use it constantly because it has such a perfectly natural feeling of varying the intensity of the rhythmic figuration of the music. Again, brilliant. I'd like to add that Clarence was also very witty and funny person. He always seemed to have a pun or joke ready to lighten things up.

@marcevanstein

10 ай бұрын

Absolutely!

Accept my condolences Great idea and explanation. I checked out some of your videos on music using scamp and I'll like to know if scamp can be used on Android Thank you so much.

@5:03 It's interesting that removing the first "least important" notes completely changes the feel of the beat(perhaps because the x3 start coming through). It would have been useful to hear how a different removal order sounds. Also how they are affected by accents.

If I were Mr Barlow, I would've called the "indespensibility" of a beat its "significance".

W Clarence 🙌🏾👇🏾

At 3:46 - yes man! Give it to me! It's not math until you have formulas! I guess you have implemented this very formula in your SCAMP library? I must check it out! Thank you for this great content!

1:03 Actually, I think that Beat 2 is stronger. Wait, I changed my mind, I don't know which. I just think that it's a bit arbitrary to assign it to Beat 4 just because it leads into Beat 1. It's like saying that the major seventh is almost as stable as the perfect fifth because it's the leading tone. (Notice how I say "stable" and not "consonant", because I believe that the major seventh is unstable, yet consonant, because of the major seventh chord. The major seventh should also be considered consonant because of its existence in the major scale, whose other six intervals are consonant, like the octave/unison, the perfect fourth and fifth, and the major third.)

I think it might be related to Thomae's function en.wikipedia.org/wiki/Thomae%27s_function Not exactly but it has similar features. It's about the smallest denominators needed to express a "beat". 2/8 reduces to 1/4... but 7/8 requires the 8 in the denominator. Lowest possible denominator describes how nested the beat is... 13/16 is deeper nested than 3/4... etc...

Funny, as a drummer, beats 1 I agree is the strongest, but the next one fot me would be beat 2. I always saw 3 and 4 as kind of repeats of 1 and 2. Out of 3 and 4, I'd consider 4 to be the next strongest, for the same reason that it leads to 1 and is generally accented.

@marcevanstein

2 ай бұрын

Interesting perspective!

barlicity just seems ripe and begging for some sort of 3d animated video, that embraces all of it's sounds and tonalities.

Percussive fugue