Hi Andrew,
it's really not so complicated, it's just simple math. If the root and partial frequencies of his chimes don't fit any note in an existing scale, then trying to squeeze them into one won't "sound good". It's also a lot of list-searching and ear-guessing to see what the "closest fit" might be. Using simple ratios like these will preserve the intervals of the notes no matter what the original frequencies might be.
best, D.
Andrew Faraday wrote:
I'll be honest, this sounds a bit advanced. It's logarithmic and thus beyond me.
However...
Perhaps try to find a list of just temperament or world music scales and their frequencies. See if any match up to the scale you're trying to achieve.
Andrew
Date: Tue, 21 Jul 2009 00:52:24 +0200 From: derek@umatic.nl To: jbeezez@googlemail.com CC: pd-list@iem.at Subject: Re: [PD] making scales from frequency values
Still not entirely sure I know what you're after, so at the risk of repeating myself, use the (just intoned) intervals here:
1, 1:1-unison; 2, 135:128-major_chroma; 3, 9:8-major_second; 4, 6:5-minor_third; 5, 5:4-major_third; 6, 4:3-perfect_fourth; 7, 45:32-diatonic_fourth; 8, 3:2-perfect_fifth; 9, 8:5-minor_sixth; 10, 27:16-pyth_major_sixth; 11, 9:5-minor_seventh; 12, 15:8-major_seventh; 13, 2:1-octave;
I.e. major third = 6:5, and 6 divided by 5 is 1.2, so to transpose up a major third, multiply original frequency by 1.2.
Or, 5 divided by 6 is 0.83333333, so multiply by that to transpose down a major third. Or cook up something with [expr] that does the job more precisely, like [expr f$1 * (5/6)] etc etc...
All of these should "sound good" across the whole musical spectrum so long as you don't plan on changing key ;-)
D.
J bz wrote:
If I'm saying that these frequencies are 'good' to my ear, is there a way of creating equally 'good' sounding notes to fill in the gaps in, say for example, a 12 note scale
based on
these notes scaling from the lowest to the highest without doing the whole thing 'by ear'?
-- ::: derek holzer ::: http://blog.myspace.com/macumbista ::: http://www.vimeo.com/macumbista ::: ---Oblique Strategy # 126: "Only one element of each kind"
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