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MMM – Memos on Math/Music: This site lists memos on music and math by the site owner.
The music will be listed as mp3 files. Those files have a portrait of the composer as an eye-catcher:
e.g., J. S. Bach’s music on periodic instrumentation has the following portrait,
whereas modern interpretation of J.S. Bach’s music has the following portrait.
Many thanks from the site owner to MuseScore https://musescore.com/ without which he can never create mp3 files.
The math will be listed as PDF files. Some of them are typed using conventional word processors, and others are in LaTeX. Those files have “Girl with a Pearl Earring” by Johannes Vermeer as an eye-catcher: see below.
The site owner would like to express his appreciation to his cousin and the spouse (of the cousin) for suggesting that he should set up a site to list his “achievement” so far.
To view the content, click the URL line for each index below.
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Index for the work by J. S. Bach
https://wordpress.com/post/mathmusic52.com/2030
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Index for memo on mathematics
https://wordpress.com/post/mathmusic52.com/2038
Index for the work by D. Scarlatti
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BWV 851: J. S. Bach “Prelude and Fugue” in D minor, The Well-Tempered Clavier I-VI
Created using MuseScore 3.
Tuned with A = 415 Hz.
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On factorisation in R [X, Y] / (X^2 + Y^2 – 1) and C [X, Y] / (X^2 + Y^2 – 1)
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BWV 850: J. S. Bach “Prelude and Fugue” in D major, The Well-Tempered Clavier I-V
Created using MuseScore 3.
Tuned with A = 415 H
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BWV 1064: J. S. Bach “Concerto for three harpsichords” in C major
Created using MuseScore 3.
Tuned with A= 415 Hz.
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Ext and Tor for Z/mZ and Z/nZ
Salvaged from mathoverflow.
Often considered as “elementary” and overlooked, but requires a complete understanding of definitions.
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BWV 849: J.S. Bach “Prelude and Fugue” in C# minor, The Well-Tempered Clavier I-IV
Created using MuseScore 3.
Tuned with A = 415 Hz.
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The subgroup structure of dihedral groups
The following memo describes the subgroup structure of dihedral groups. As long as the site owner knows, no textbooks on abstract algebra (and general group theory, for that matter) discuss the subgroup structure. So this memo might be of some help to the students of mathematics. Caveat: the site owner no longer remembers where he got the information.
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BWV 848: J. S. Bach “Prelude and Fugue” in C# major, The Well-Tempered Clavier I-III
Created using MuseScore 3.
Tuned with A = 415 Hz.
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BWV 847: J.S. Bach “Prelude and Fugue” in C minor, The Well-Tempered Clavier I-II
Created using MuseScore 3.
Tuned with A = 415 Hz.
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BWV 846: J. S. Bach “Prelude and Fugue” in C major, The Well-Tempered Clavier I-I
Created using MuseScore 3.
Tuned with A = 415 Hz.
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MMM 