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All Threads: ! - 1605632/1594323 tempering, 17-tone pb and justin white's question - 4296, 43 7-limit planar temperaments - 72 owns the 11-limit, 72-et classes of scales based on 4375/43... - a hidden message (was: re: badness with ..., a higher dimensional continued fraction - algebra question, algebraic functions for 5-limit temperam... - atomic projection, atomic temperament as a basis for a valh... - bobs one true tuning for the rest of his..., book: harmonic analysis and hypergroups - combinatorics and tuning systems?, combine with harmonic entropy - decatonic scales, decatonics - dual, and inner product space (was: gene..., duals to ems optimization - fading families, fairy cirlces - fwd: re: a common notation for ji and et..., fwd: re: combinatorics and tuning system... - graham's linear temperament page, graham's pump progression - hexatonic scales, hey carl - interval of equivalence, unison-vector, ..., interval set of dowland's tuning - lll basis for linear temperaments, lll definitions - minimal filled scale, minimax generator - more scales (21/20), more scales (25/24) - nine tone orwell scales, nineteen notes, 49/48 chroma - optimal bases for 7-limit planar tempera..., optimal octave stretching - poincare duality, poking monz (was: re: naming temperament... - ragmonza 225/224 planar, rank complexity explanation updated - scheme, etc., ot (was re: algorithm soug..., schismic and stuff (was: re: 60 for dave... - some 7-note, 7-limit scales, some 7-tone 72-et scales from 385/384 - stepwise scales, stern-brocot commas - temperament program issues, temperaments and notations - the cawapu comma, the choice of wedgie-norm greatly impact... - the tertiaseptal family, the three majraj scales - tree zoom duals, tribonacci scales - warping along a line, wavelet dreams - {2,3,5,13} temperaments,

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All Individuals: carl lumma - wallyesterpaulrus,

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All Subjects: ! - 136edo, 15 microtemperaments supported by 270 - 32201 temps, 34-tone et scale - 7-limit mt reduced bases for ets, 7-limit mt reduced bases for meantone et... - a class of non-octave scales, a comma list example - a ten-tone, 2401/2400 scale, a theory - annotated dave keenan file, announcing xenharmony.org - beatles[17] and squares[17], beep and bug - calculating commas from a wedgie, calculating errors - comment on notation, comments about fokker's misfit metric - definition of val etc., definitions of period, equivalence, etc.... - efficicency and ambiguity, efficient mos - ez converse, fading families - further examples of zeta function tuning..., fwd: [tuning] re: everyone concerned - gould article, gould on generalized diatonics - heuristic (was re: re: eponyms), heuristic and straightness - idea for a personal tuning experiment, ideas for big collaborative projects - l1 multival norm complexity, lame-ass question - magic[16], magical mystery meanpop wreckage - miracle web page, miracle - more temperaments, more temperaments - nexials, nexials - on the mappings of primes to degrees of ..., on-topic subject lines [was:: 171-edo, v... - pitch class and generators, pitch schemata (was briefly: huron voice... - question for gene, question for gene - rothenberg giveaway, rothenberg propriety - smallest interval between ratios in n-li..., so miracle is really #3, pajara #2 in lo... - some naming examples, some notes about my dictionary (was: faq... - superparticular 5-limit scales, superparticular temperaments - tenney's harmonic distance, tenney's harmonic distance - the diaschismic family, the diaschismic family - the supertemperament, the tertiaseptal family - transforming one temperament to another, transitive groups of degree 12 and low o... - vector update, vectors? (was: a common notation for ji ... - yet another new kind of transformation, yet another reason to buy a tablet pc - {2,3,5,13} temperaments,

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All authors: carl lumma - gene ward smith, gene ward smith - john chalmers, john chalmers - paul erlich, paul@s... - wallyesterpaulrus,

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All Links: 164.8.13.169/Enciklopedija/math/math/p/p520.htm - en.wikipedia.org/wiki/Vector_space, en.wikipedia.org/wiki/Wedge_product - groups.yahoo.com/group/tuning-, groups.yahoo.com/group/tuning-math/ - groups.yahoo.com/group/tuning-math/files/monz/formula1-6-cmt.gif, groups.yahoo.com/group/tuning-math/files/monz/goldenMT-lattice.gif - groups.yahoo.com/group/tuning-math/files/secor/notation/Symbols3.bmp, groups.yahoo.com/group/tuning-math/files/tuning-math_html.zip - groups.yahoo.com/group/tuning-math/message/2185, groups.yahoo.com/group/tuning-math/message/2332 - groups.yahoo.com/group/tuning-math/message/3919, groups.yahoo.com/group/tuning-math/message/403 - groups.yahoo.com/group/tuning-math/message/5692, groups.yahoo.com/group/tuning-math/message/5761 - groups.yahoo.com/group/tuning-math/message/8809, groups.yahoo.com/group/tuning-math/message/8876 - groups.yahoo.com/group/tuning/message/18625, groups.yahoo.com/group/tuning/message/20642 - groups.yahoo.com/group/tuning/message/7202, groups.yahoo.com/group/tuning/message/7202 - home.comcast.net/~prodgers13/, home.t-online.de/home/toni.goeller/idiom_wm/id79.htm - m759.freeservers.com/harmony.html, m759.freeservers.com/natural.html - mathworld.wolfram.com/HermiteNormalForm.html, mathworld.wolfram.com/HermiteNormalForm.html - mathworld.wolfram.com/SquareTriangularNumber.html, mathworld.wolfram.com/SteinerSystem.html - python.sourceforge.net/peps/pep-0255.html, rgmia.vu.edu.au/inequalities2001/uhrin/uhrin.html - sonic-arts.org/td/gill/duodene.htm, sonic-arts.org/td/monzo/o483-26new5limitnames.htm - uq.net.au/~zzdkeena/Music/DistibutingCommas.htm, uq.net.au/~zzdkeena/Music/DistributingCommas.htm - www.aei.ca/~plamothe/sys72/ib1215.htm, www.aei.ca/~plamothe/sys72/ib1215.htm - www.eunomios.org/contrib/francis1/francis1.html, www.farcaster.com/papers/sm-thesis/node6.html - www.ixpres.com/interval/dict/, www.ixpres.com/interval/dict/ - www.ixpres.com/interval/dict/rothenbergefficiency.htm, www.ixpres.com/interval/dict/rothenbergredundancy.htm - www.ixpres.com/interval/td/erlich/intropblock3.htm, www.ixpres.com/interval/td/erlich/intropblock3.htm - www.maths.uq.edu.au/~krm/krm_calc.html#[49, www.maths.usyd.edu.au:8000/u/magma/ - www.microtonal.co.uk/limit13.stepcents, www.microtonal.co.uk/limit13.tubulong - www.microtonal.co.uk/limit7.txt, www.microtonal.co.uk/limit7.txt - www.microtonal.co.uk/temper.html, www.microtonal.co.uk/temper.html - www.microtonal.co.uk/vectors.xls, www.microtonal.co.uk/writetemper.py - www.societymusictheory.org/mto/issues/mto.00.6.1/mto.00, www.sonic- - www.huygens-fokker.org/doc/mm4.html, www.huygens-fokker.org/doc/modename.html - yahoogroups.com/group/tuning,

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