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Re: About maximally even sets in 22edo Hm ... if I can trust my intuition, then 2nd order ME scales are - unless they're MOS's - related to rank-3 temperaments, which have two generators and a
Re: Temperament ideas: A cuckoo, and two oracles Ok, Graham has put the data for cuckoo and necromanteion in the temperament finder database (many thanks!), and none complaint yet, so I assume there are no
Re: Singing Bowls This is among the few posts about singing bowls I could find in this group. They are indeed fascinating; I found this article worth checking out called
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Temperament ideas: A cuckoo, and two oracles Hi list, here are some suggestions for temperaments related to 31-EDO which I think could need a name. The first one is a rank three temperament, defined in
For Flute and Piano in 17 edo For Flute and Piano in 17 Notes Per Octave is a short piece that dispenses with functional harmony and is a classical sounding piece with a chord progression
About maximally even sets in 22edo Lately,I have delved a little into the details of maximally even sets ( http://xenharmonic.wikispaces.com/maximal+evenness ). Namely, I was interested in 22edo
Re: 23edo and set types I could not delete the second paste. These yahoo groups are absolutely horrid now, what in the hell did they do to this site? Anyway, the reason 23-tET sets
23edo and set types I was actually working with 22edo, 23edo, and 24edo in conjunction with the Mathieu Groups, and discovered some things about isometric sets in 23-tET. My
DIY Electric Aeolian Harp - Humbucker Version My latest musical creation with construction details, graphics and of course demonstration composition.
A 19 tone extension of Centaur for Strings- Silenus http://anaphoriasouth.blogspot.com.au/2014/01/a-19-tone-extension-of-centaur-for.html -- signature file /^_,',',',_ //^/Kraig Grady_^_,',',',_ Mesotonal Music
Re: interesting examples from classical literature Also 88edo and LucyTuning derived from pi. ... Charles Lucy lucy@... -- Promoting global harmony through LucyTuning -- For more information on
Re: interesting examples from classical literature Could add [if you stretch the definition of meantone] Pythagorean: Pythagorean is zero-comma Meantone; 12-division ET is 11th-comma Meantone; 19-division for
Re: interesting examples from classical literature Chris, By "extended Pythagorean tuning" do you mean a 53-division of the octave? This is analogous to using: 19-division for extended third-comma Meantone;
Re: interesting examples from classical literature Dear Chris, maybee meantone was the standard in 19th century, but I've been asking for orchestra-literature. I don't think that orchestras play in fixed
Re: interesting examples from classical literature Johnny Reinhard of the American Festival of Microtonal Music says he has hard evidence that Charles Ives was thinking in terms of extended Pythagorean tuning
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interesting examples from classical literature Dear community, I'm searching for examples of the classical/romantical standard repertoire, which are somewhat delicate concerning the question of intonation.
Re: Straehle's (1743) geometric construction for an rational app Manuel: I have not read, mentioned as further reading: Barbour, "A geometrical approximation to the roots of numbers". In his book, Barbour rounds off his
Dec 29, 2013#106358
Re: Straehle's (1743) geometric construction for an rational app Kraig: I am not sure what you mean by "graffiti"? He does not give deviation from ET. He does state the cent value of each note of the scale (from
Dec 29, 2013#106357
Re: Straehle's (1743) geometric construction for an rational app Let us remember that Barbour was quite against any non 12-ET tuning. Check out his uninformed critique of Harry Partch. It is a shame he ruins his book with
Dec 27, 2013#106356
Fw: New Christmas variations (message not getting through) Second attempt, hope it arrives now.
Dec 23, 2013#106355
Re: Straehle's (1743) geometric construction for an rational app http://www.mathcs.holycross.edu/slides/musicintervalsHC.pdf gives a "File not found" error, and the department web site is now listed as
Dec 21, 2013#106354
Re: Straehle's (1743) geometric construction for an rational app ... Hi Manuel, compare that against his corresponding article: M. BARBOUR, "A Geometrical approximation to the Roots of Numbers" (American Mathematical Monthly
Dec 20, 2013#106353
Re: Straehle's (1743) geometric construction for an rational app Nice find Andreas. It's written by Ian Stewart though. Martin Gardner wrote the book's introduction. What I don't understand is where the 0.15% maximum error
Dec 20, 2013#106352
Re: Digest Number 8010 That url without the google gibberish: http://homepages.math.uic.edu/~kauffman/Music.pdf On Wednesday, December 18, 2013 6:01 AM, "TUNING@yahoogroups.com"
Dec 18, 2013#106351
Re: Straehle's (1743) geometric construction for an rational app ... ...is explained by Martin Gardner in his paper:
Dec 17, 2013#106350
Re: Straehle's (1743) geometric construction for an rational app There is no searching, it's straightforward arithmetic. If we don't simplify the ratio's you will see the pattern, look at the differences between the
Dec 12, 2013#106349
Re: Straehle's (1743) geometric construction for an rational app Why do 5deg19 and 14deg19 have 568/473 and 667/401, respectively, when 6/5 and 5/3 are much closer? --George
Dec 12, 2013#106348
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Re: Straehle's (1743) geometric construction for an rational app ... see also for better Werckmeister ratios in his "Septenarius" tuning: http://archive.is/8sbit
Dec 11, 2013#106347
Re: Straehle's (1743) geometric construction for an rational app That's interesting. Dan Stearns also invented this method with regularly varied numerators and denominators. So it was actually invented much earlier. I had
Dec 11, 2013#106346
Re: Straehle's (1743) geometric construction for an rational app Thank you Andy; That does indeed make sense, and I realised that considering only the straight line nut to bridge distance when calculating fret placement
Dec 8, 2013#106345
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