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Originally posted by Malichai
The 432 music from Bobby Lavigne has moved me like nothing before. Kudos to him and the OP.
Originally posted by Malichai
432 / 3 = 144
Originally posted by nscopheacriaaclters
Originally posted by Malichai
432 / 3 = 144
That 432 is 3 gross is what originally drew me to it. It's lovely in base-twelve...
23' | 27.
46' | 54.
90' | 108.
160' | 216.
300' | 432.
600' | 864.
1000' | 1728.
2000' | 3456.
[edit on 15-11-2008 by nscopheacriaaclters]
Originally posted by nscopheacriaaclters
Not to belabor this one, but are you sure 540 isn't a good C#? On one of these charts...
www.harmonictheory.com...
...we have an F# of 360, giving us a pure 5:4 major third above D 288. 540 shows up, too.
It just seems to me that 2, 3, 5 and even 7 should be used for frequency ratios.
[edit on 19-11-2008 by nscopheacriaaclters]
Originally posted by nscopheacriaaclters
reply to post by hawk123
What should the frequencies of an A major triad be?
With D major, for example, it doesn't seem to be a problem; 288, 360, 432.
Root times 1.25 times 1.2. It works for D, but not A?
Originally posted by hawk123
Originally posted by nscopheacriaaclters
reply to post by hawk123
What should the frequencies of an A major triad be?
With D major, for example, it doesn't seem to be a problem; 288, 360, 432.
Root times 1.25 times 1.2. It works for D, but not A?
This is so difficult to answer. It really needs a good study of:
Comma of Pythagoras:
www.skhane.com...
Fraction of Plato: (FP) (Plato World Series = PWS)
www.gnosisregained.co.uk...
And the Timaeus series.
The more repeating patterns after the comma the more disharmonic it is.
The good old Greek masters could produce music from Earth to Heaven.
440 Hertz is limited to a radius of 5040 miles around the Earth.
Maybe Bobby has a suggestion
Originally posted by nscopheacriaaclters
The Syntonic comma is also of concern, as much as (and compounding with) the Pythagorean difficulties. We definitely need Bobby's input on the matter, as well. The theoretical stuff is great, but considerations must be made for practical applications.
...in 1859, a French government commission made A=435 Hz law in that country. At the urging of singers in certain German and London opera houses, this standard was adopted for a time in opera houses and concert halls in other parts of Europe also...
In any case, Britain in the last decades of the nineteenth century went its own way. In 1896, London’s Royal Philharmonic Society got around the practice of A=435 Hz in what appears to have been a contrived way. By the 1880s, scientists were able to calculate the amount by which the pitch of a wind instrument varies with room temperature. In Britain it was a common, but erroneous, belief that when the 1859 French commission decreed A=435 Hz, it had not specified an absolute frequency, but had specified 59o F as the room temperature under which the particular construction of the pitch-giving instrument (oboe) played A=435 Hz.5 The Philharmonic Society, on the advice of their consultant, therefore reasoned that the same instrument, at normal room temperature, 68o F, would play the A above middle C as:
435 + [(68-59)÷1000 × 435] = 438.915 Hz
which is A=439 Hz to the nearest integer. As a result, in 1896, A=439 Hz became a recognized pitch standard in Britain. In North America, meanwhile, the pitch of pianos and orchestras not only remained unstandardized in the first decades of the twentieth century but continued to creep upward.
...In the 1930s, the broadcasting industry made a push towards total standardization of concert pitch in Europe and North American. Success was achieved at a 1939 international conference held in London. Presumably as a compromise between current tendencies and earlier pitch standards, it was agreed that the international standard for concert pitch would thenceforth be based upon A=440 Hz — very close to the Royal Philharmonic’s A=439 Hz of dubious derivation.