Math and the LCC - with an example

The main body of the LCC and its practical application, including all 4 published versions of Book 1 with their inserts: the 1959 tan cover; the 1959 light green cover Japanese edition; the 1970‘s white cover, which adds an illustrated River Trip to the 1959 edition, and the currently available Fourth Edition, 2001.

The authorization code is the first word on Page 198 of the Fourth Edition of the LCCTO.

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Re: Math and the LCC - with an example

Postby isaacdelpozo » Thu Jan 21, 2016 11:22 am

I upload here a graphic with the ratios to visualize the ratios of the lydian scale.



Isaac
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lydian with example.jpg
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Re: Math and the LCC - with an example

Postby bobappleton » Thu Jan 21, 2016 1:42 pm

:)
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Re: Math and the LCC - with an example

Postby isaacdelpozo » Fri Jan 22, 2016 9:08 am

Hello to every one,

Due to the present "possible doubts", i´m gonna explain the differences between tempered and natural fifths.

The tempered fifths are calculated multiplying the fundamental frequency by 2^(7/12). The result of doing this 7 times is a Lydian tempered scale arranged in fifths.
If you do the same process but multiplying the fundamental frecuency by 3/2, the result is an untempered Lydian scale( not available in a piano for example).

The mathematical formulae is derived from the LCC, although you can choose tempering or not the scale.
Tempered music and the lCC are not the same , but they are compatible.

In the example I sent to the forum i used tempered frequencies ( available in most instruments, midi, synth.....).

Hope it helps


Isaac
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Re: Math and the LCC - with an example

Postby chespernevins » Fri Jan 22, 2016 12:59 pm

Isaac,

Do you think the math adds perspective on the 5 remaining notes in the lydian chromatic scale?
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Re: Math and the LCC - with an example

Postby isaacdelpozo » Fri Jan 22, 2016 8:01 pm

Hello,
you can follow the series and until reach r x 2^7.

Isaac
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Re: Math and the LCC - with an example

Postby bobappleton » Fri Jan 22, 2016 11:37 pm

Here's a thought: If we can simplify this for non-mathematicians to understand we're just a few steps away from making a piece of software – something that's been talked about here for years, and something that could allow a younger generation of electro-acoustic musicians to discover, use and develop The Concept for any kind of music. We could start with a Skype video conversation - like you and I Isaac have done before - answering Chesper's great question. We upload it and get feedback. We do that some more and then we translate the result into version 1.0 and we test it.

The potential is for a teaching tool, a composition tool and a software performance instrument – maybe open source on GitHub, maybe in conjunction with the book.

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Re: Math and the LCC - with an example

Postby chespernevins » Sat Jan 23, 2016 5:48 am

Hi Isaac,

Yes, I think I understand you. I was wondering about additional insight into the perennial questions of why the WOTG skips a fifth, and why the Lydian ladder of fifths has a natural limit of 7 notes.
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Re: Math and the LCC - with an example

Postby isaacdelpozo » Sat Jan 23, 2016 9:27 am

Hello again,

Well, the explanation of the natural limit is a little bit complex but it can be done.

Let me make another PDF and upload it soon.


Isaac
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Re: Math and the LCC - with an example

Postby isaacdelpozo » Sat Jan 23, 2016 2:58 pm

Hello again,

Here i upload new material no understand better your the natural limit of the Lydian scale.

Hope it helps.

Soon i will upload musical examples.

Isaac
Attachments
l1.jpg
one
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Re: Math and the LCC - with an example

Postby isaacdelpozo » Sat Jan 23, 2016 3:00 pm

.
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l2.jpg
2
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Re: Math and the LCC - with an example

Postby isaacdelpozo » Sat Jan 23, 2016 3:00 pm

. :mrgreen:
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l3.jpg
3
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Re: Math and the LCC - with an example

Postby isaacdelpozo » Sat Jan 23, 2016 3:01 pm

:mrgreen:
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l4.jpg
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Re: Math and the LCC - with an example

Postby chespernevins » Wed Jan 27, 2016 1:13 pm

Isaac,

Thanks for sharing. I have checked out your papers. While I have not gone over the math in detail, I might have an inkling of what you're getting at.

Is it possible to explain your idea in words and music? I am looking forward to the musical examples.

CN
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Re: Math and the LCC - with an example

Postby isaacdelpozo » Tue Feb 02, 2016 3:10 pm

Yes no prob.

I will make a video or something to explain it better.

Im busy now. But soon i will upload more.



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