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Who Invented the I-VI-II-V-I-VI-II-V-I-VI-II-V-I-VI-II-V-I-VI-II-V-I-VI-II-V?


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Must be Gauss, because 1 + 6 = 2 + 5

 

Another story has it that in primary school after the young Gauss misbehaved, his teacher, J.G. Büttner, gave him a task: add a list of integers in arithmetic progression; as the story is most often told, these were the numbers from 1 to 100. The young Gauss reputedly produced the correct answer within seconds, to the astonishment of his teacher and his assistant Martin Bartels. Gauss's presumed method was to realize that pairwise addition of terms from opposite ends of the list yielded identical intermediate sums: 1 + 100 = 101, 2 + 99 = 101, 3 + 98 = 101, and so on, for a total sum of 50 × 101 = 5050.

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41 minutes ago, Jazz1642606857 said:

"Some sources imply that Pythagoras conceived of the circle of fifths in the sixth century B.C. but there is no proof of this. In the late 1670s Ukrainian composer and theorist Nikolay Diletsky wrote a treatise on composition entitled "Grammatika"... the first circle of fifths appears in the Grammatika and it was used for students as a composition tool."

 

Wikipedia

 

 

The result being that instruments that use the tempered scale (the only way to resolve the circle of fifths, otherwise each iteration is different in pitch than the last), can now play slightly out of tune in all keys. 

It took a chunk of my life to get here and I am still not sure where "here" is.
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11 hours ago, KuruPrionz said:

The result being that instruments that use the 12 tone equal tempered scale (the only way to resolve the circle of fifths, otherwise each iteration is different in pitch than the last), can now play slightly out of tune in all keys. 

 

There, FTFY.  ☺️

 

But there are hundreds of other circulating temperaments dividing the Pythagorean comma in non-equal ways that allow all keys to be played.

E.g. Werckmeister, Temperament ordinaire, Neidhardt, Kirnberger, Kellner, Vallotti and Young, to name but a few!  😉

 

See here: https://huygens-fokker.org/scala/

 

 

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I know there are many professions where the motto is "Do no harm," but we as musicians just can't abide by that one!

Eugenio Upright, 60th Anniversary P-Bass, USA Geddy Lee J-Bass, Yamaha BBP35, D'angelico SS Bari, EXL1,

Select Strat, 70th Anniversary Esquire, LP 57, Eastman T486, T64, Ibanez PM2, Hammond XK4, Moog Voyager

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