Originally posted by vinteuil
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Alphabet associations - I
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Originally posted by Flay View PostI'm a little tied up
not sure I fully understand golden ratio, so will have to copy a bleeding chunk from wikipedia
French composer Erik Satie used the golden ratio in several of his pieces, including Sonneries de la Rose+Croix. The golden ratio is also apparent in the organization of the sections in the music of Debussy's Reflets dans l'eau (Reflections in Water), from Images (1st series, 1905), in which "the sequence of keys is marked out by the intervals 34, 21, 13 and 8, and the main climax sits at the phi position."
The musicologist Roy Howat has observed that the formal boundaries of La Mer correspond exactly to the golden section. Trezise finds the intrinsic evidence "remarkable," but cautions that no written or reported evidence suggests that Debussy consciously sought such proportions. Also, many works of Chopin, mainly Etudes (studies) and Nocturnes, are formally based on the golden ratio. This results in the biggest climax of both musical expression and technical difficulty after about 2/3 of the piece.
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Originally posted by mercia View Postis that part of the birthday celebrations ?
"...the isle is full of noises,
Sounds and sweet airs, that give delight and hurt not.
Sometimes a thousand twangling instruments
Will hum about mine ears, and sometime voices..."
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Anna
And could I just say: Flay, please pass on our best birthday wishes to Mrs. Flay and thank her for her patience and forbearance in letting you play here with your friends so often! (And, am I mistaken or is it also vinteuil's special day today as well?)
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Originally posted by Anna View Post(And, am I mistaken or is it also vinteuil's special day today as well?)
Yes, indeed you are correct Anna, it is vinchaud's special day for picking up on typos with his special 'secret service' high-magnification monocle"...the isle is full of noises,
Sounds and sweet airs, that give delight and hurt not.
Sometimes a thousand twangling instruments
Will hum about mine ears, and sometime voices..."
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Anna
Originally posted by Caliban View Post
Yes, indeed you are correct Anna, it is vinchaud's special day for picking up on typos with his special 'secret service' high-magnification monocle
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Originally posted by Anna View PostI remember now, vints was talking about Vatican II (16th Oct 1962) and that date must have lodged in my memory as significant to him ..... <doh> Easy mistake!
For early music people 16 Oct might be significant as the feast day of St Gall - the Benedictine monastery bearing his name being an important centre *.
And let us not forget St Richard Gwyn, feast day 16 Oct, a native of Llanidloes in Powys, one of the Forty Martyrs...
Also, of course, Saint Margaret Mary Alacoque, feast day 16 Oct, to whom the vision of the Sacred Heart was first vouchsafed ( at Paray-le-Monial, 1673-1775 ).
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* http://en.wikipedia.org/wiki/Abbey_of_St._Gall
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Originally posted by Anna View PostAnd could I just say: Flay, please pass on our best birthday wishes to Mrs. Flay and thank her for her patience and forbearance in letting you play here with your friends so often! (And, am I mistaken or is it also vinteuil's special day today as well?)
Thanks for the summation, mercs. Everyone's being mischievous today!
The Golden Ratio is perplexing to me too, I must think about it. Not as easy to get the head round (no comments, mercs & Calibs!!) as the Fibonacci (brocolli) series.
Eventually it comes down to that familiar formula x = (−b + √(b2 − 4ac))/(2a) and somehow gives a number 1.61803398875... etc
If you divide this into 1 it gives you 0.61803398875. How odd!Pacta sunt servanda !!!
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