Date: 14/06/2023 11:37:01
From: mollwollfumble
ID: 2043152
Subject: Comment on xkcd

Latest xkcd is this
https://xkcd.com/2788/

I have transcribed music onto a linear scale for frequency. It works startlingly well.

You end up with a decimal rather than an octal system of frequencies – so Holly from Red Dwarf was right.

The harmonics of a bugle call end up on adjacent lines on the musical stave.

At the end of each decade, a tone has become a semitone, coarsen it by selecting only each second note, and start again with the next decade.

The musical scale on a decimal system ends up intermediate between the traditional major and minor scales. Take the start of the C scale. C D E for major, C D Eflat for minor. The decimal scale has C D E* where E* is between E and Eflat.

A piece of music written in the decimal system sounds very interesting. Although one of the ten notes of the decimal scale sounds wrong, another actually sounds better than in the normal octal system.

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