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- From: tms@cs.umd.edu (Tom Swiss (not Swift, not Suiss, Swiss!))
- Newsgroups: alt.guitar
- Subject: Re: Harmonics
- Message-ID: <63777@mimsy.umd.edu>
- Date: 27 Jan 93 20:09:38 GMT
- References: <93026.135248U59919@uicvm.uic.edu> <28647@dog.ee.lbl.gov> <phlegm.728082048@cs1.bradley.edu>
- Sender: news@mimsy.umd.edu
- Organization: The Reality Liberation Front (pixels to the people!)
- Lines: 22
-
- phlegm@cs1.bradley.edu (Kevin Bourrillion) writes:
- >
- >As long as your intonation is set right (which can be easily, if not
- >extremely accurately, done on a tuner), all harmonics ought to be
- >accurate. At least I've never heard of anything like what you just
- >said before.
-
- Not really. The problem is that harmonics are "perfect"
- intervals, while the scale we use is temperered. If you play a
- harmonic that's a fifth above the string, it's a perfect fifth above -
- the ratio of the frequencies is, umm, well, whatever it is. 1.5, I
- think. But in the temperered scale, the ratio of a fifth to the root
- is 2^(7/12), about 1.4983071. A perfect fourth is a ratio of 4/3, but
- a tempered fourth is 2^(5/12), about 1.3348399, and so on.
-
- ===============================================================================
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