source file: m1398.txt Date: Tue, 28 Apr 1998 10:49:32 -0500 (CDT) Subject: Synthesizer resolution From: Paul Hahn On Tue, 28 Apr 1998, Daniel Wolf wrote: > If I can't have a tuning with the > accuracy of the Rayna, then I would like the potential deviation from Just > to be spread around as much as possible in a temperament that represents > harmonic identities consistently. As long as you are not working with > sustained textures that really require something like the Rayna, I think > that absolute frequency resolution will be secondary to consistency. [snip] > From my experience, > 768tet and 1200tet are not good choices but there are ET of this magnitude > that would be better. I went through my big consistency table and picked out some of the ETs between 600 and 1200 that looked good for this purpose. I didn't use any hard and fast criteria, but just eyeballed ETs that either were consistent to unusually high odd limits, or had particularly high consistency levels at lower limits, or some combination. Here are the results (I left in 768 and 1200 for comparison, but set them off): | 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 ----------------------------------------------------------------- *612| 169 21 4 4 2 615| 2 2 . . . . . . *624| 30 3 2 2 . . . . . . . . . 639| 2 . . . . . . . 643| 3 3 3 . . . . . . . 653| 25 2 2 . . . . . . . 665|7939 6 2 2 *684| 4 2 2 2 . . . . 692| 2 2 . . . . . . . 711| 5 4 3 2 . . . 718| 162 3 . . . . . . . . . 730| 22 22 . . . . . 742| 11 2 2 2 2 . . . . . 764| 5 5 2 2 2 . . . ----------------------------------------------------------------- 768| . . . ----------------------------------------------------------------- 771| 82 2 . . . . . . . . 776| 7 2 . . . . . . 783| 19 7 3 3 . 795| 11 4 2 2 . . . 805| 4 . . . . . . 814| 3 3 2 . . . . . 836| 17 3 2 2 2 848| 10 9 . . . . . 867| 3 3 2 . . . . . . . . . 882| 7 7 3 2 . . . . 894| 11 2 2 2 . . . . 908| 3 . . . . . . . . . . 925| 5 . . . . . . . 935| 8 7 3 3 . . . . . . . . . 954| 9 4 2 2 . . . . 981| 3 2 2 . . . . . 995| 13 . . . . . . . 997| 2 2 . . . . . . . . . . 1012| 27 2 . . . . . 1019| 6 6 . . . . . . 1048| 12 . . . . . . 1065| 33 3 2 2 . . . . . . 1075| 3 2 2 . . . . . 1084| 5 3 2 2 2 . . . 1106| 15 5 4 4 2 . . . 1118| 41 5 . . . . . . 1137| 4 4 3 2 . . . . 1142| 18 . . . . . . . . . . 1171| 56 22 . . . . . . . . . . . 1178| 5 2 2 2 2 2 . . . . 1186| 2 2 . . . . . . ----------------------------------------------------------------- 1200| 11 . . . . Unfortunately the only ones which are divisible by 12 (which I've marked with *s) are in the low end of the range, but this was just a rough pass. Perhaps more careful scrutiny might yield a better compromise. --pH http://library.wustl.edu/~manynote O /\ "Churchill? Can he run a hundred balls?" -\-\-- o NOTE: dehyphenate node to remove spamblock. <*>