An    extraCollege    for the Election of the Presidents of The United States of America


      -muse

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The sphinx is the enigma of mathematics, and the muse is the mind's song of understanding that sweeps away the enigma.

Muse

I have come to believe,
after many years of listening and study,
that sustained attention paid to the music of

Olivier Messiaen,


undertaken
BEFORE
mathematics,

can completely eliminate

the trouble that so many people have
WITH
mathematics
·

Perhaps, it's the "emancipation of dissonance" [Google it!]

"Mode de valeurs et d'intensités" by Olivier Messiaen:
https://www.youtube.com/watch?v=_tG9TAqBZa4

"One gem of a composition was to turn 20th century music on its head. This was 'Mode de valeurs et d'intensities' part of four studies in rhythm for piano. It took Schönberg's theory of serealizing pitches a whole leap forward whereby Messiaen effectively serealized all musical parameters i.e. pitches, durations, dynamics and articulations. Thus each note has a character and identity all its own which is maintained throughout the piece. For example, middle C will always appear as a dotted minim value, forte dynamic and have a tenuto articulation mark."   Ref : [@ the 'biography' link, 2nd block of text after the golden oriole] : http://www.oliviermessiaen.org/messiaen2index.htm

https://www.youtube.com/watch?v=nTlc4Nvyhw4   :   Messiaen's "Turangalîla" Symphony   :   https://www.youtube.com/watch?v=eCO7le_6LzU


The card image below links to a page about more of Olivier Messiaen's music,
to which and to whom i was introduced by a Kiwi Pianist & Barista. [ , ]



@ His Cafe on K-Road Circa 2001 [.]

my "Squared" Circle of Fifths from Music Theory

    
a circle's
circumference
divided by
its diameter is
defined to be
π =
Pi ≈ ⤵
         3
         POYNT
         1

         4

         1

         5

         9

         2

         6

         5

         

For my Country (USA) Too !!

Bedřich Smetana's Má Vlast
https://www.youtube.com/watch?v=sn2tlfH5hqU
City of Prague Philharmonic Orchestra


My Working Times Table

My Card for the Elders to Help the Youngers