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Message: 8854 Date: Tue, 23 Dec 2003 22:38:33 Subject: plot of 5-limit commas From: Paul Erlich I plotted all 5-limit commas for which tenney complexity [TC] < 30 and tenney-based heuristic error [(n-d)/TC/log(TC)] < 0.001 and the comma is not a higher power of some other comma Yahoo groups: /tuning-math/files/Paul/waterfall1.gif * who can explain the "woof" and "warp", or curved 'grid', apparent in this plot? here is the plot with the ratios of the commas written in: Yahoo groups: /tuning-math/files/Paul/waterfall2.gif * the size of the font used for each comma was 16^(1-epimericity) where the epimerity is tenney based and equal to log(n-d)/log(n*d). one can easily imagine the epimericity 'contours' running across this plot, though i wasn't able to show them as easily as i thought i would . . . anyway, i hope herman miller, at least, takes a look at this!
Message: 8856 Date: Tue, 23 Dec 2003 23:39:44 Subject: Re: epimorphism From: Manuel Op de Coul >Manuel, you are wrong. This is indeed a torsional block. The four >determinants are 20, 32, 46, and 56 -- obviously these are all >multiples of 2, so we have torsion! Drag, you're right. Why is it that when you know there's a bug in the code you can spot it immediately, when otherwise it remains unnoticed. Manuel
Message: 8857 Date: Tue, 23 Dec 2003 22:42:14 Subject: Re: epimorphism From: Paul Erlich --- In tuning-math@xxxxxxxxxxx.xxxx "Manuel Op de Coul" <manuel.op.de.coul@e...> wrote: > > >Manuel, you are wrong. This is indeed a torsional block. The four > >determinants are 20, 32, 46, and 56 -- obviously these are all > >multiples of 2, so we have torsion! > > Drag, you're right. Why is it that when you know there's a bug in > the code you can spot it immediately, when otherwise it remains unnoticed. > > Manuel so now can you find a *real* counterexample?
Message: 8860 Date: Wed, 24 Dec 2003 21:21:32 Subject: Re: epimorphism From: Manuel Op de Coul Paul wrote: >so now can you find a *real* counterexample? I guess not... I've uploaded a new release with the torsion and epimorphism bugs fixed, updated Sagittal symbols, improved periodicity block dialog, and smaller improvements. http://www.xs4all.nl/~huygensf/software/Scala_Setup.exe - Ok * Manuel
Message: 8861 Date: Wed, 24 Dec 2003 21:19:23 Subject: Re: plot of 5-limit commas From: Paul Erlich --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> wrote: > --- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> > wrote: > > > who can explain the "woof" and "warp", or curved 'grid', apparent > in > > this plot? > > I'd start by taking ratios of commas along lines, and see if there is > a single high-quality comma behind the line. No; the lines are essentially single numerators in one direction, and single denominators in the other.
Message: 8862 Date: Wed, 24 Dec 2003 14:42:57 Subject: definitions From: Carl Lumma Gene, If you could collect all your definitions, "scale", "tuning", "notation", etc. and put them on xenharmony.org or Wikipedia I would be enthralled. -Carl ________________________________________________________________________ ________________________________________________________________________ To unsubscribe from this group, send an email to: tuning-math-unsubscribe@xxxxxxxxxxx.xxx ------------------------------------------------------------------------ Yahoo! Groups Links To visit your group on the web, go to: Yahoo groups: /tuning-math/ * To unsubscribe from this group, send an email to: tuning-math-unsubscribe@xxxxxxxxxxx.xxx Your use of Yahoo! Groups is subject to: Yahoo! Terms of Service *
Message: 8868 Date: Fri, 26 Dec 2003 06:16:03 Subject: Re: Attention Gene From: Paul Erlich --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> wrote: > --- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> wrote: > > Yahoo groups: /tuning-math/message/8269 * > > > > --- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> > > wrote: > > > --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" > > <gwsmith@s...> > > > wrote: > > > > After fixing my program, here is what I am getting for Prooijen > > and > > > > geometric 11-limit reductions: > > > > > > > > ! red72_11pro.scl > > > > Prooijen 11-limit reduced scale > > > > 72 > > > > ! > > > > 81/80 > > > > 64/63 > > > > > > Gene -- why isn't this 45/44? > > I guess I'm using the wrong definition of Prooijen complexity. It's called 'expressibility', and it's simply (the log of) the "ratio of" (or, imprecisely speaking, "odd-limit") measure of the ratio. Definitions of tuning terms: ratio of, (c) 2003 by Joe Monzo * Searching Small Intervals * Since log(45)<log(63), you must indeed have the wrong definition.
Message: 8872 Date: Fri, 26 Dec 2003 08:32:43 Subject: Re: Attention Gene From: Paul Erlich --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> wrote: > --- In tuning-math@xxxxxxxxxxx.xxxx "Paul Erlich" <perlich@a...> > wrote: > > > Since log(45)<log(63), you must indeed have the wrong definition. > > log(11*45)>log(63), which is what I think I used. I thought I had already straightened you out on that particular misunderstanding. ________________________________________________________________________ ________________________________________________________________________ To unsubscribe from this group, send an email to: tuning-math-unsubscribe@xxxxxxxxxxx.xxx ------------------------------------------------------------------------ Yahoo! Groups Links To visit your group on the web, go to: Yahoo groups: /tuning-math/ * To unsubscribe from this group, send an email to: tuning-math-unsubscribe@xxxxxxxxxxx.xxx Your use of Yahoo! Groups is subject to: Yahoo! Terms of Service *
Message: 8873 Date: Sat, 27 Dec 2003 20:52:20 Subject: Re: 5-limit, 12-note Fokker blocks From: Paul Erlich --- In tuning-math@xxxxxxxxxxx.xxxx "Gene Ward Smith" <gwsmith@s...> wrote: > The Duodene is well-known as a 5-limit, 12-note Fokker block; > I > decided to check on whether Scala knows of four other examples, and > got this. Scala has many others, including Marpurg's Monochord #1, Ramos/Ramis, etc . . . see the Gentle Introduction to Fokker Periodicity Blocks.
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