Math of Musical Scales, Part 2 of 3

[alitajvidi]

Wow, I gotta say, your explanations are spot-on and super interesting! Not only do you break things down in a clear and easy-to-understand way, but I can totally see that scientist vibe in you. It's like you've got that natural curiosity and analytical thinking that real scientists have. Your passion for the topic really shines through, and it's awesome to see someone who not only knows their stuff but can also explain it in a fun and engaging manner. Keep up the great work!

[SwimnBird]

I would pay for a slower paced course going into all of this, fascinating

[gabrielrodriguez]

Wow; you not only explain this so well, but you make it incredibly interesting. Well done.

[Nerthexx]

It's interesting how if you average 1.973 and 2.027, you get exactly "2"

[Mohammadparvazi]

i love your math series about music i had a question in my mind and something just wasnt making any sense but you covered it very well now i know the reason why we devide by 2 for the second time is because its sometimes nesseceray to get the number in wanted range

[franciscomagalhaes]

Christ I've been trying to find something that explains this stuff to me for years. Thank you so much for all the work you've put yourself through.

[caylan]

Thank you so very much for your time making this trilogy!

[standardqueue]

Well done. I don't know why you don't have many more subs/views

[RandomRelapse]

U get it my brother, keep making these videos so the masses too can understand

[OneDrunkWizard]

Aye subscribing. I would love to know why we settled on the 7/12 tone scale divisions of the octave. I have a theory it's rooted in sacr d geometry as the flower of life depicted in most cultures is a 6 sided shape and the inverse of it creates another 6 points for a total of 12 and it's all rooted in our perception of this chaos. We arbitrarily affix definitions to the misunderstood and thereby give it definition. Love your videos!

[havokca]

These are phenomenal videos. Thank you so much. :)

[yaniamamoto]

Darwin bless you, Tom Hanks! Great video

[tarkantakil]

My man, you've done proper research on this topic. If you haven't already, I highly recommend getting a copy of On The Sensation Of Tone by Helmholtz.

[kitcosby]

Please enjoy my 17 tone Just tempered scale (all in a ratio over 128/256)
Best in the key of C for the whole numbers and storing the note ratios as a single byte. But it sounds best to the ear tuned about 220 hz. A depending on the weather.
128 Hz. 256
145 Hz. 290
154 Hz. 308
160 Hz. 320
165 Hz. 330
171 Hz. 342
179 Hz. 358
183 Hz. 366
192 Hz. 384
201 Hz. 402
205 Hz. 410
213 Hz. 426
219 Hz. 438
224 Hz. 448
230 Hz. 460
238 Hz. 476
256 Hz. 512

If you really want the second’s
Here you go, at 21 tones all over 512 for the ratios:
256
284
291
307
313
320
329
341
358
366
370
384
398
402
410
427
439
448
455
461
475
484
512
Here is the scale in Hexadecimal
The first is the octave the second the tone at that ratio.
0100 256
011C 284
0123 291
0133 307
0139 313
0140 320
0149 329
0155 341
0166 358
016E 366
0172 370
0180 384
018E 398
0192 402
019A 410
01AB 427
01B7 439
01C0 448
01C7 455
01CD 461
01DB 475
01E4 484
0200 for the next octave.

[scamlikely]

Thanks man cuz I'm good at math, but bad at music, not sure they're mutually exclusive anymore haha

[fredriksorbom]

Good video. Someome (channel name: formant) apparently made a copycat video recently.

[Smitty-opld]

I'm sorry, in the plethora of great information you may have already covered this, but in my YouTube patience (maybe just when I'm on YouTube patience), I came to see why WWHWWWH sounds good with the major scale.

That is, why (mathematically) does taking a whole step on the third interval of the scale sound so bad and I'm forced to do a half step when the previous and following steps are whole steps?!

[jpuzebb]

Learning music theory-- okay, wait I'm confused. You called the second harmonic scale (3:2) a lydian mode. But, we constantly multiplied frequencies by 3/2, so how do we end up with semi-tones and tones? Is it that the 292.5 and 493.59 are the semitones? How can we be multiplying by a constant ratio but end up with notes differently spaced out from each other? Does anyone get what I mean? (I really struggle with music theory and I honestly think it's because no one was ever able to explain it like this. I've always wanted the /why/ it works, I feel like I'll understand it more if I can see its like, mathematical patterns and proof of why it works.)

[rainerausdemspring]

Do yo know why 3^12/2^19 is so close to 10? Theory of continued fractions...