Corrections to Anatomy of an Octave

Hello, all,

In response to a recent mistake some list members found in my "Anatomy of an Octave" list of intervals, I did a thorough recheck of all 700-odd calculations. I was rather horrified to find tiny inaccuracies in about three dozen intervals involving the numbers 23, 25, and 29 as factors. What must have happened, since the mistakes ran consistently, was that my value for 1200/log2 got corrupted on my calculator as I was figuring out those ratios. However, the discrepancies only ranged from 0.021 cents to 0.042 cents, all too high, and none of them affected the order of intervals. In addition there were a few rounding errors affecting only thousandths of a cent, and one one-cent typo: 222.463 cents for 256/225 rather than the correct 223.463. I hope no one has been inconvenienced. Everything how now been corrected and triple-checked. Please alert me if you find any other mistakes (and I'll hang myself).

In addition, I came to realize that some people still use the old address at my old Earthlink site. The better address is now http://www.kylegann.com/Octave.html, where I moved to and expanded so I could include mp3s.

To err is human, to correct divine.

Cheers,

Kyle

Let me try that Anatomy of an Octave address again, without the comma that makes it not work:

http://www.kylegann.com/Octave.html

KG

hi Kyle,

--- In tuning@yahoogroups.com, Kyle Gann <kgann@e...> wrote:

> Let me try that Anatomy of an Octave address again,
> without the comma that makes it not work:
>
> http://www.kylegann.com/Octave.html

i see that you cited Danieliou's book. want to add
a link to my "big list of 11-limit intervals" page?

http://tonalsoft.com/enc/interval-list.htm

by my calculation, there are 1200 intervals within
the 8ve on my page ... i didn't plan it that way,
i swear it.

-monz

In a message dated 2004:01:03 07:11:20 PM, kgann@earthlink.net writes:

>[...] I hope no one has been inconvenienced.
>Everything how now been corrected and triple-checked. Please alert me
>if you find any other mistakes (and I'll hang myself).

Naaah! don't hang ya head so... IMHO the corrections and this nice,
friendly posting is _mea culpa_ enuff... anybody who thinks otherwise can shoot
themselves ;) in the foot...

>To err is human, to correct divine.

Eh? we Higher Primates aren't already divine 0_o?
we just don't seem to grasp it yet - even when's it right under
our very curiousgeorgelike lil noses - becuz our hyper lil MonkeyMinds
are all alike distracted...

---|-----|--------|-------------|---------------------|
Hanuman Zhang

"When you're trying to do something you should feel absolutely alone, like a
spark in the blackness of the universe."-Xenakis

"The sky and its stars make music in you." - Dendera, Egypt wall
inscription

"Overhead, without any fuss, the stars were going out."
--Arthur C. Clarke, _The Nine Billion Names of God_