Hi Danny! The Persians explored all the permutations of the Greeks so i would not be surprised at any similarity, actually the contrary. likewise i enjoyed the...
yes Erv's was not designed with that problem in mind. There is always so much talk of being able to modulate anywhere or to large number of keys, but frankly...
... Dear Kraig & all others, ... hence i do agree with yours doubts about the questionable concept of http://en.wikipedia.org/wiki/Modulation_(music) ... ...
Hi, At various places I read that reducing the number of different intervals in a scale makes it more easy to sing. For example, this notion is one of the...
Hi When reading Graham Breeds text "The Regular Mapping Paradigm" (http://x31eq.com/paradigm.html). I am citing his text. "In the regular mapping paradigm,...
... Carl's outline is here: http://www.lumma.org/music/theory/tctmo/ He does say that. I don't agree with it. It may be that scales with two step sizes are...
... I can see I spent a lot of time explaining the rank 1 mappings and then threw in a rank 2 mapping with no explanation. But it's two rank 1 mappings. The...
Dear Graham, Thanks for your reply. ... So, each line is an interval specification (one stating the period and the other the generator)? How do I read them?...
... <1, 2, 4] indicates the number of octaves to reach an approximation of the prime intervals 2/1, 3/1, and 5/1 -- when combined with the number of fourths...
I think it has more to do with the capacity of the human memory than the functioning of the ear. The intervals of 12-tet are pretty easy to memorize....
Hi Torsten, I'll answer backwards. ... As long as we're talking about unaccompanied melodies alone, yes. ... I'm not aware of any studies, but I can offer you...
... The phenomenon is very simply explained. Humans judge melodic jumps that represent equal log-pitch differences to be of equal size, and we are generally...
... Interestingly, at the times I made my first experiments with 2D tempering, which was long before I knew anything about 2D temperament webpages, somewhat...
Petr Parízek
p.parizek@...
Aug 3, 2008 5:37 am
78041
This is contrary to facts. The only places in the world where you have equally intervals is as a 'rational' construction. Most cultures use scales with unequal...
Most of Erv's tunings are based on A=440, i said nothing that even mentioned this or contradicted this..... ? -- /^_,',',',_ //^ /Kraig Grady_ ^_,',',',_ ...
... Ah, thanks for that explanation! So, these two interval representations depend on each other. Now the notion of two dimensions makes more sense for me. ...
... Thanks for reminding me to read that. I found the text online, scanned in PDF in ten files; I thought someone posted the link before; but here it is again:...
... Not sure what you mean here. ... That's a tricky statement. Some definitions of "temperament" explicitly require that it improve harmonies. But melodic ...
Hello Tom and everyone, yesterday, I had my afternoon with nothing better to do then fiddling with my portable computer, so I decided to take Tom Dent's...
Hello, Kraig and all. Please let me explain that while reading this thread which was focused in part on a discussion by Andreas and George and others about...
Ciao Leonardo, thank you for the contribution, that's a wonderful job that you've done! Do you think there's a way to do something similar even if there are no...
Petr ParÃzek
p.parizek@...
Aug 4, 2008 7:39 am
78050
When asked about the best tuning between various villages of a tribe. The ones closest to ET tunings are not chosen. Carl wrote: In Africa and Asia, 5- and...
... Looks good... thanks for the work! Concerning a possible 'LP wobble' problem, it might be interesting to: 1) take the next 3 tones, since the opening...
... Here are the major third values, first from Leonardo's measurement of the first 12 notes: c 391.7 e 391.7 g# 416.6 g 385.5 b 420.0 eb 394.5 d 387.2 f#...
I didn't expect you to agree! If you have any citations showing that Thai and African musicians can *systematically* tune something other than ET on a...
Hi there, Within a few days, I'll be doing a new recording where I want to use a small kalimba which one of my former teachers bought for me some years ago....
To Carl: all of the suggested scales sound sooo nice to me. But ... Their period is 2/1 so I'm now thinking about which way to go to fit them into at least two...
Petr ParÃzek
p.parizek@...
Aug 6, 2008 4:07 pm
78057
To Carl: all of the suggested scales sound sooo nice to me. But ... Their period is 2/1 so I'm now thinking about which way to go to fit them into at least two...
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