Talk:Pythagorean tuning
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[edit] Expansion
I'll expand this further in time, but this will do for now. I'd appreciate it if people could let me know if it makes sense - it makes sense to me, but I've studied all this stuff, and a list of unannotated numbers and cent values would make sense to me, so that doesn't mean much. Oh, and if anybody wants to prettify the table, please do so - my html skills are not up to the task. --Camembert
As I've thought about this since I wrote it, I've come to think that I'm really trying to write two or three articles in one here; one on Pythagorean tuning, one on what should be at Mathematics of the Western music scale, and one on tuning ratios generally (what a 9:4 is, and why it is equivalent to a 9:8). So I regard this as something of a work in progress, and one that might get broken up into bits in the future. --Camembert
I've added a note on number theory. I think modular arithmetic comes in to this too, because in tuning up in fifths we yank notes down to stay within the range of an octave. I am planning to make a PNG of the piano keyboard at some point. Maybe a long version of that would be good here, to show graphically the circle of 5ths stretched out, with the clash in the middle. -- Tarquin
- Something like that would also be very useful for the articles I'm writing on small intervals like the syntonic comma. --Camembert
Okay, I'm talking rubbish: removed "Put in terms of number theory, no multiple of 1.5 is a power of 2." because it's completely wrong. 1.5 ^ 12 = 129.746337890625 , and 2^7 = 128. I think it's that. (note: "think"). Will ponder some more. -- Tarquin 11:26 Oct 30, 2002 (UTC)
[edit] Basics
Camembert, I had a look like you asked, and I don't think you're spending too much time on the basics here at all. There's only one slight sticking point for me where there's talk of all twelve fifths being tuned and the D's not being a perfect octave. I know what you mean, but I had to read it a couple of times. I'd have fixed it, but I'm not sure how else to say what you're trying to say there. Good job though, this tuning stuff is still a tricky subject and I'm impressed with the work you folks have done.JFQ
- Thanks - I think I'll leave this article as is for now, and maybe come back and try to polish it a bit when I've done the other tuning systems articles (gulp). --Camembert
- Yes, I'm VERY interested to see what you do for Mean Tone Temperament. I'm not sure that's ever been explained clearly by anyone. J.F.Quackenbush
[edit] Broken link
Wolf_fifth.ogg
[edit] Confusing?
This article has been deemed too confusing by (apparently) a U.S. junior high school student (see Wikipedia:Reference_desk/Miscellaneous#PYTHAGORAS). Make of that what you will, but the discussion contains content and links that might help to make this article more accessible. Sandstein 17:47, 3 June 2006 (UTC)
[edit] Notes and frequencies
In the "Method" section, why were the letternames chosen? D and A are so nowhere near 200Hz and 300Hz that it's idiotic. The frequiencies given are an awful lot closer to G (196Hz) and D (294Hz). It's a handy illustration of the ratios being discussed, and such approximation of the frequencies (within 2%) is not unreasonable, but you can't pull note names out of thin air. You have to make an effort to sound like you know what you're talking about. 68.124.137.79 03:08, 12 May 2007 (UTC)
[edit] French Wikipedia
The article there is very detailed and contains many images and tables. Anyone here knows French and can translate the entire article to English? This will be very helpful! I'm willing to help with translating the text in the images (just tell me what to write). Barak Sh (talk) 03:32, 27 May 2008 (UTC)