# Riffs and Rotes • Happy New Year 2021

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### Jon Awbrey

Jan 4, 2021, 11:15:31 AM (12 days ago) Jan 4
to Cybernetic Communications, Ontolog Forum, Peirce List, Structural Modeling, SysSciWG
Cf: Riffs and Rotes • Happy New Year 2021
http://inquiryintoinquiry.com/2021/01/03/riffs-and-rotes-happy-new-year-2021/

All,

Apart from their abstract beauty, Riffs and Rotes are structures
I discovered while playing around with Gödel numberings of graphs
and digraphs so they have a deep connection with the mathematical
infrastructure of logic. At any rate, for your musement, here are
the Riff and Rote for 2021.

Letting p_n = pₙ = the nth prime, beginning 2, 3, 5, 7, 11, 13, etc.

2021 = 43 × 47 = p₁₄ × p₁₅ = p₂ₓ₇ × p₃ₓ₅

2021 = 43 × 47 = p_14 × p_15 = p_{p_1 p_4} × p_{p_2 p_3} = et sic deinceps ...

Riff 2021
https://inquiryintoinquiry.files.wordpress.com/2021/01/riff-2021-big-2.0.jpg

Rote 2021
https://inquiryintoinquiry.files.wordpress.com/2021/01/rote-2021-big-2.0.jpg

Reference
=========

Riffs and Rotes ( https://oeis.org/wiki/Riffs_and_Rotes )

Happy New Year !!!

Jon

inquiry into inquiry: https://inquiryintoinquiry.com/